Luke Olson @ Illinois

Research Focus

Multigrid methods
Sparse matrix computations
Finite element methods
High performance computing
Scalable solvers on GPUs, large-scale systems

Students

Nick Nytko PhD
- SciML, HPC, multigrid solvers
Lukas Spies PhD
- GPUs, structured solvers
Alexey Voronin PhD
- scalable solvers, systems, multigrid
Shelby Lockhart PhD 2023
- Thesis: Reducing communication bottlenecks in iterative solvers
- scalable Krylov methods, preconditioning, scalalble algorithms
Pete Sentz PhD 2022
- Thesis: Reduced basis approximation and error estimation of parametrized partial differential equations
- finite elements, reduced order modeling
Andrew Reisner PhD 2019
- Thesis: Robust Structured Multigrid at Extreme Scales
- structured solvers, electric field computations
Amanda Bienz PhD 2018
- Thesis: Reducing communication in sparse solvers
- Parallel algorithms, HPC, multigrid
Natalie Beams PhD 2017 (Mechanical Science and Engineering)
- Thesis: High-order hybrid methods using Green's functions and finite elements
- N-body methods, finite elements, multigrid
Jon Calhoun PhD 2017
- Thesis: From detection to optimization: impact of soft errors on high-performance computing applications
- fault detection and recovery in numerical algorithms, multigrid
Steven Dalton PhD 2015
- Thesis: Data parallel algebraic multigrid
- algebraic multigrid, sparse matrix computaitons, GPU, high-throughput algorithms
Yuki Kimura PhD 2013 (Chemical Engineering)
- Thesis: Cellular strategies for chemotactic navigation in complex chemical environments
- chemotaxis, neutrophil, bacteria, multiscale simulation, finite elements
James Lai PhD 2012
- Thesis: Conservation and efficiency in least squares finite element methods
- algebraic multigrid, least-squares and discontinuous least-squares finite element methods, high-order, vector ele ments, Stokes flow
Jehanzeb Hameed Chaudhry PhD 2011
- Thesis: Finite element methods for implicit solvent models
- implicit solvation models, least-squares finite element methods, Poisson-Boltzmann equation, Poisson-Nerst-Planck , error adaptivity, adjoint estimators
Jacob Schroder PhD 2010
- Thesis: Generalizing smoothed aggregation-based algebraic multigrid
- algebraic multigrid, complex non-symmetric matrices, high-order discontinuous Galerkin
Nathan Bell PhD 2008
- Thesis: Algebraic Multigrid For Discrete Differential Forms
- discrete exterior calculus, algebraic multigrid, hodge decomposisions
David Alber PhD 2007
- Thesis: Efficient Setup Algorithms for Parallel Algebraic Multigrid
- parallel algebraic multigrid methods, high performance computing, combinatorial scientific computing
Philipp Samfass MS 2016
- Thesis: Towards a deeper understanding of hybrid programming
Adam Hug MS 2014
- Thesis: Generating random power grids for the verification of new load flow solvers
Matt Wrobel MS 2012
- Thesis: A particle-in-cell framework for the simulation of cellular chemotaxis

Publications

Sentz, Peter, Beckwith, Kristian, Cyr, Eric C., Olson, Luke N., Patel, Ravi, Reduced Basis Approximations of Parameterized Dynamical Partial Differential Equations via Neural Networks, 2021, arXiv.
BibTeX DOI: 10.48550/ARXIV.2110.10775 URL


@misc{2022_SeBeCyOlPa_nnrb,
          author = {Sentz, Peter and Beckwith, Kristian and Cyr, Eric C. and
                    Olson, Luke N. and Patel, Ravi},
           title = {Reduced Basis Approximations of Parameterized Dynamical
                    Partial Differential Equations via Neural Networks},
            year = {2021},
       publisher = {arXiv},
}

Voronin, Alexey, MacLachlan, Scott, Olson, Luke N., Tuminaro, Raymond, Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations, 2023, in review.
BibTeX URL


@misc{2023_VoMaOlTu_monolithicamgstokes,
          author = {Voronin, Alexey and MacLachlan, Scott and Olson, Luke N. and
                    Tuminaro, Raymond},
           title = {Monolithic Algebraic Multigrid Preconditioners for the
                    Stokes Equations},
            year = {2023},
            note = {in review},
}

Bell, Nathan, Olson, Luke N., Schroder, Jacob, Southworth, Ben, PyAMG: Algebraic Multigrid Solvers in Python, Journal of Open Source Software, 8 (2023), 5495.
BibTeX DOI: 10.21105/joss.05495 URL


@article{2023_PyAMG,
          author = {Bell, Nathan and Olson, Luke N. and Schroder, Jacob and
                    Southworth, Ben},
           title = {PyAMG: Algebraic Multigrid Solvers in Python},
         journal = {Journal of Open Source Software},
            year = {2023},
          volume = {8},
          number = {87},
           pages = {5495},
       publisher = {The Open Journal},
}

Janna, Carlo, Franceschini, Andrea, Schroder, Jacob B., Olson, Luke, Parallel Energy-Minimization Prolongation for Algebraic Multigrid, SIAM Journal on Scientific Computing, 45 (2023), A2561-A2584.
BibTeX PDF DOI: 10.1137/22M1513794 URL


@article{2023_JaFrScOl_paramg,
          author = {Janna, Carlo and Franceschini, Andrea and Schroder, Jacob B.
                    and Olson, Luke},
           title = {Parallel Energy-Minimization Prolongation for Algebraic
                    Multigrid},
         journal = {SIAM Journal on Scientific Computing},
            year = {2023},
          volume = {45},
          number = {5},
           pages = {A2561-A2584},
}

Zaman, Tareq Uz, MacLachlan, Scott P., Olson, Luke N., West, Matthew, Coarse-grid selection using simulated annealing, Journal of Computational and Applied Mathematics, 431 (2023), 115263.
BibTeX PDF DOI: https://doi.org/10.1016/j.cam.2023.115263 URL


@article{2023_ZaMaOlWe_cgselection,
          author = {Zaman, Tareq Uz and MacLachlan, Scott P. and Olson, Luke N.
                    and West, Matthew},
           title = {Coarse-grid selection using simulated annealing},
         journal = {Journal of Computational and Applied Mathematics},
            year = {2023},
          volume = {431},
           pages = {115263},
}

Lockhart, Shelby, Bienz, Amanda, Gropp, William D., Olson, Luke N., Characterizing the performance of node-aware strategies for irregular point-to-point communication on heterogeneous architectures, Parallel Computing, 2023, 103021.
BibTeX PDF DOI: https://doi.org/10.1016/j.parco.2023.103021 URL


@article{2023_LoBiGrOl_charperf,
          author = {Lockhart, Shelby and Bienz, Amanda and Gropp, William D. and
                    Olson, Luke N.},
           title = {Characterizing the performance of node-aware strategies for
                    irregular point-to-point communication on heterogeneous
                    architectures},
         journal = {Parallel Computing},
            year = {2023},
           pages = {103021},
}

Taghibakhshi, Ali, Nytko, Nicolas, Zaman, Tareq Uz, MacLachlan, Scott, Olson, Luke, West, Matthew, Learning Interface Conditions in Domain Decomposition Solvers, Advances in Neural Information Processing Systems, Curran Associates, Inc., 35 (2022).
BibTeX PDF URL


@inproceedings{2022_TaNyZaMaOlWe_learndd,
          author = {Taghibakhshi, Ali and Nytko, Nicolas and Zaman, Tareq Uz and
                    MacLachlan, Scott and Olson, Luke and West, Matthew},
           title = {Learning Interface Conditions in Domain Decomposition
                    Solvers},
            year = {2022},
       booktitle = {Advances in Neural Information Processing Systems},
          editor = {S. Koyejo and S. Mohamed and A. Agarwal and D. Belgrave and
                    K. Cho and A. Oh},
          volume = {35},
           pages = {7222--7235},
       publisher = {Curran Associates, Inc.},
}

Lockhart, Shelby, Bienz, Amanda, Gropp, William, Olson, Luke, Performance Analysis and Optimal Node-Aware Communication for Enlarged Conjugate Gradient Methods, ACM Trans. Parallel Comput., 2023.
BibTeX PDF DOI: 10.1145/3580003 URL


@article{2023_LoBiGrOl_ecg,
          author = {Lockhart, Shelby and Bienz, Amanda and Gropp, William and
                    Olson, Luke},
           title = {Performance Analysis and Optimal Node-Aware Communication
                    for Enlarged Conjugate Gradient Methods},
         journal = {ACM Trans. Parallel Comput.},
            year = {2023},
         address = {New York, NY, USA},
           month = {Jan},
       publisher = {Association for Computing Machinery},
}

Spies, Lukas, Bienz, Amanda, Moulton, David, Olson, Luke, Reisner, Andrew, Tausch: A halo exchange library for large heterogeneous computing systems using MPI, OpenCL, and CUDA, Parallel Computing, 114 (2022), 102973.
BibTeX PDF DOI: https://doi.org/10.1016/j.parco.2022.102973 URL


@article{2022_SpBiMoOlRe_tausch,
          author = {Spies, Lukas and Bienz, Amanda and Moulton, David and Olson,
                    Luke and Reisner, Andrew},
           title = {{Tausch}: A halo exchange library for large heterogeneous
                    computing systems using {MPI}, {OpenCL}, and {CUDA}},
         journal = {Parallel Computing},
            year = {2022},
          volume = {114},
           pages = {102973},
}

Bell, Nathan, Olson, Luke N., Schroder, Jacob, PyAMG: Algebraic Multigrid Solvers in Python, Journal of Open Source Software, 7 (2022), 4142.
BibTeX PDF DOI: 10.21105/joss.04142 URL


@article{2022_BeOlSc_pyamg,
          author = {Bell, Nathan and Olson, Luke N. and Schroder, Jacob},
           title = {{PyAMG}: Algebraic Multigrid Solvers in Python},
         journal = {Journal of Open Source Software},
            year = {2022},
          volume = {7},
          number = {72},
           pages = {4142},
       publisher = {The Open Journal},
}

Lockhart, Shelby, Gardner, David J., Woodward, Carol S., Thomas, Stephen, Olson, Luke N., Performance of Low Synchronization Orthogonalization Methods in Anderson Accelerated Fixed Point Solvers, Proceedings of the 2022 SIAM Conference on Parallel Processing for Scientific Computing.
BibTeX PDF DOI: 10.1137/1.9781611977141.5 URL


@inproceedings{2022_LoGaWoThOl_anderson,
          author = {Lockhart, Shelby and Gardner, David J. and Woodward, Carol
                    S. and Thomas, Stephen and Olson, Luke N.},
           title = {Performance of Low Synchronization Orthogonalization Methods
                    in {A}nderson Accelerated Fixed Point Solvers},
       booktitle = {Proceedings of the 2022 SIAM Conference on Parallel
                    Processing for Scientific Computing},
         chapter = {},
           pages = {49--59},
}

Voronin, Alexey, He, Yunhui, MacLachlan, Scott, Olson, Luke N., Tuminaro, Raymond, Low-order preconditioning of the Stokes equations, Numerical Linear Algebra with Applications, 29 (2022), e2426.
BibTeX PDF DOI: https://doi.org/10.1002/nla.2426 URL


@article{2022_VoHeMaOlTu_iso,
          author = {Voronin, Alexey and He, Yunhui and MacLachlan, Scott and
                    Olson, Luke N. and Tuminaro, Raymond},
           title = {Low-order preconditioning of the {S}tokes equations},
         journal = {Numerical Linear Algebra with Applications},
            year = {2022},
          volume = {29},
          number = {3},
           pages = {e2426},
}

Taghibakhshi, Ali, MacLachlan, Scott, Olson, Luke, West, Matthew, Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning, Advances in Neural Information Processing Systems, 34 (2021).
BibTeX PDF URL


@inproceedings{2021_TaMaOlWe_optmg,
          author = {Taghibakhshi, Ali and MacLachlan, Scott and Olson, Luke and
                    West, Matthew},
           title = {Optimization-Based Algebraic Multigrid Coarsening Using
                    Reinforcement Learning},
            year = {2021},
       booktitle = {Advances in Neural Information Processing Systems},
          volume = {34},
           pages = {12129--12140},
}

Bienz, Amanda, Olson, Luke N., Gropp, William D., Lockhart, Shelby, Modeling Data Movement Performance on Heterogeneous Architectures, 2021 IEEE High Performance Extreme Computing Conference (HPEC), , (2021).
BibTeX PDF DOI: 10.1109/HPEC49654.2021.9622742


@inproceedings{2021_BeOlGrLo_gpu,
          author = {Bienz, Amanda and Olson, Luke N. and Gropp, William D. and
                    Lockhart, Shelby},
           title = {Modeling Data Movement Performance on Heterogeneous
                    Architectures},
            year = {2021},
       booktitle = {2021 {IEEE} High Performance Extreme Computing Conference
                    ({HPEC})},
          volume = {},
          number = {},
           pages = {1--7},
}

Chaudhry, Jehanzeb H., Olson, Luke N., Sentz, Peter, A Least-Squares Finite Element Reduced Basis Method, SIAM Journal on Scientific Computing, 43 (2021), A1081-A1107.
BibTeX PDF DOI: 10.1137/20M1323552 URL


@article{2021_ChOlSe_lsrb,
          author = {Chaudhry, Jehanzeb H. and Olson, Luke N. and Sentz, Peter},
           title = {A Least-Squares Finite Element Reduced Basis Method},
         journal = {SIAM Journal on Scientific Computing},
            year = {2021},
          volume = {43},
          number = {2},
           pages = {A1081-A1107},
}

Reisner, Andrew, Bernddt, Markus, Moulton, J. David, Olson, Luke N., Scalable line and plane relaxation in a parallel structured multigrid solver, Parallel Computing, 100 (2020), 102705.
BibTeX PDF DOI: https://doi.org/10.1016/j.parco.2020.102705 URL


@article{2020_ReBeMoOl_plane,
          author = {Reisner, Andrew and Bernddt, Markus and Moulton, J. David
                    and Olson, Luke N.},
           title = {Scalable line and plane relaxation in a parallel structured
                    multigrid solver},
         journal = {Parallel Computing},
            year = {2020},
          volume = {100},
           pages = {102705},
}

Bienz, Amanda, Gropp, William D, Olson, Luke N, Reducing communication in algebraic multigrid with multi-step node aware communication, The International Journal of High Performance Computing Applications, 34 (2020), 547-561.
BibTeX PDF DOI: 10.1177/1094342020925535 URL


@article{2020_BiGrOl_reducing,
          author = {Bienz, Amanda and Gropp, William D and Olson, Luke N},
           title = {Reducing communication in algebraic multigrid with multi-
                    step node aware communication},
         journal = {The International Journal of High Performance Computing
                    Applications},
            year = {2020},
          volume = {34},
          number = {5},
           pages = {547--561},
}

Ibeid, Huda, Olson, Luke, Gropp, William, FFT, FMM, and multigrid on the road to exascale: Performance challenges and opportunities, Journal of Parallel and Distributed Computing, 136 (2020), 63-74.
BibTeX PDF DOI: https://doi.org/10.1016/j.jpdc.2019.09.014 URL


@article{2020_IbOlGr_road,
          author = {Ibeid, Huda and Olson, Luke and Gropp, William},
           title = {{FFT}, {FMM}, and multigrid on the road to exascale:
                    Performance challenges and opportunities},
         journal = {Journal of Parallel and Distributed Computing},
            year = {2020},
          volume = {136},
           pages = {63--74},
}

Horn, E., Fulp, D., Calhoun, J., Olson, L., FaultSight: A Fault Analysis Tool for HPC Researchers, 2019 IEEE/ACM 9th Workshop on Fault Tolerance for HPC at eXtreme Scale (FTXS), , (2019).
BibTeX PDF DOI: 10.1109/FTXS49593.2019.00008


@inproceedings{2019_HoFuCaOl_faultsight,
          author = {{Horn}, E. and {Fulp}, D. and {Calhoun}, J. and {Olson},
                    L.},
           title = {{FaultSight}: A Fault Analysis Tool for HPC Researchers},
            year = {2019},
       booktitle = {2019 IEEE/ACM 9th Workshop on Fault Tolerance for HPC at
                    eXtreme Scale (FTXS)},
          volume = {},
          number = {},
           pages = {21--30},
}

Ibeid, H., Meng, S., Dobon, O., Olson, L., Gropp, W., Learning with Analytical Models, 2019 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), , (2019).
BibTeX PDF DOI: 10.1109/IPDPSW.2019.00128


@inproceedings{2019_IbMeDoOlGr_learning,
          author = {{Ibeid}, H. and {Meng}, S. and {Dobon}, O. and {Olson}, L.
                    and {Gropp}, W.},
           title = {Learning with Analytical Models},
            year = {2019},
       booktitle = {2019 IEEE International Parallel and Distributed Processing
                    Symposium Workshops (IPDPSW)},
          volume = {},
          number = {},
           pages = {778--786},
}

Bienz, A., Olson, L., Gropp, W., Node-Aware Improvements to Allreduce, 2019 IEEE/ACM Workshop on Exascale MPI (ExaMPI), , (2019).
BibTeX PDF DOI: 10.1109/ExaMPI49596.2019.00008


@inproceedings{2019_BiOlGr,
          author = {{Bienz}, A. and {Olson}, L. and {Gropp}, W.},
           title = {Node-Aware Improvements to Allreduce},
            year = {2019},
       booktitle = {2019 IEEE/ACM Workshop on Exascale MPI (ExaMPI)},
          volume = {},
          number = {},
           pages = {19--28},
}

Glimberg, Stefan Lemvig, Engsig-Karup, Allan Peter, Olson, Luke N, A massively scalable distributed multigrid framework for nonlinear marine hydrodynamics, The International Journal of High Performance Computing Applications, 33 (2019), 855-868.
BibTeX PDF DOI: 10.1177/1094342019826662


@article{2019_GlEKOl_hydro,
          author = {Glimberg, Stefan Lemvig and Engsig-Karup, Allan Peter and
                    Olson, Luke N},
           title = {A massively scalable distributed multigrid framework for
                    nonlinear marine hydrodynamics},
         journal = {The International Journal of High Performance Computing
                    Applications},
            year = {2019},
          volume = {33},
          number = {5},
           pages = {855--868},
}

Bienz, Amanda, Gropp, William D., Olson, Luke N., Node aware sparse matrix–vector multiplication, Journal of Parallel and Distributed Computing, 130 (2019), 166-178.
BibTeX PDF DOI: 10.1016/j.jpdc.2019.03.016 URL


@article{2018_BiGrOl_nodeawarespmv,
          author = {Bienz, Amanda and Gropp, William D. and Olson, Luke N.},
           title = {Node aware sparse matrix–vector multiplication},
         journal = {Journal of Parallel and Distributed Computing},
            year = {2019},
          volume = {130},
           pages = {166--178},
}

Bienz, Amanda, Gropp, William D., Olson, Luke N., Improving Performance Models for Irregular Point-to-Point Communication, Proceedings of the 25th European MPI Users' Group Meeting, New York, NY, USA, ACM, 2018.
BibTeX PDF DOI: 10.1145/3236367.3236368 URL


@inproceedings{2018_BiGrOl_improvedmodels,
          author = {Bienz, Amanda and Gropp, William D. and Olson, Luke N.},
           title = {Improving Performance Models for Irregular Point-to-Point
                    Communication},
            year = {2018},
         address = {New York, NY, USA},
       booktitle = {Proceedings of the 25th European MPI Users' Group Meeting},
           pages = {7:1--7:8},
       publisher = {ACM},
          series = {EuroMPI'18},
}

Calhoun, Jon, Cappello, Franck, Olson, Luke N, Snir, Marc, Gropp, William D, Exploring the feasibility of lossy compression for PDE simulations, The International Journal of High Performance Computing Applications, 33 (2019), 397-410.
BibTeX PDF DOI: 10.1177/1094342018762036 URL


@article{2019_CaCaOlSnGr_lossy,
          author = {Calhoun, Jon and Cappello, Franck and Olson, Luke N and
                    Snir, Marc and Gropp, William D},
           title = {Exploring the feasibility of lossy compression for {PDE}
                    simulations},
         journal = {The International Journal of High Performance Computing
                    Applications},
            year = {2019},
          volume = {33},
          number = {2},
           pages = {397--410},
}

Reisner, A., Olson, L., Moulton, J., Scaling Structured Multigrid to 500K+ Cores Through Coarse-Grid Redistribution, SIAM Journal on Scientific Computing, 40 (2018), C581-C604.
BibTeX PDF DOI: 10.1137/17M1146440 URL


@article{2018_ReOlMo_scalingstructured,
          author = {Reisner, A. and Olson, L. and Moulton, J.},
           title = {Scaling Structured Multigrid to {500K+} Cores Through
                    Coarse-Grid Redistribution},
         journal = {SIAM Journal on Scientific Computing},
            year = {2018},
          volume = {40},
          number = {4},
           pages = {C581-C604},
}

Beams, Natalie N., Kl\"ockner, Andreas, Olson, Luke N., High-order finite element–integral equation coupling on embedded meshes, Journal of Computational Physics, 375 (2018), 1295-1313.
BibTeX PDF DOI: 10.1016/j.jcp.2018.08.032 URL


@article{2018_BeKlOl_feie,
          author = {Beams, Natalie N. and Kl\"ockner, Andreas and Olson, Luke
                    N.},
           title = {High-order finite element–integral equation coupling on
                    embedded meshes},
         journal = {Journal of Computational Physics},
            year = {2018},
          volume = {375},
           pages = {1295--1313},
}

Manteuffel, Thomas A., Olson, Luke N., Schroder, Jacob B., Southworth, Ben S., A Root-Node-Based Algebraic Multigrid Method, SIAM Journal on Scientific Computing, 39 (2017), S723-S756.
BibTeX PDF DOI: 10.1137/16M1082706 URL


@article{2016_MaOlScSo_rootnode,
          author = {Manteuffel, Thomas A. and Olson, Luke N. and Schroder, Jacob
                    B. and Southworth, Ben S.},
           title = {A Root-Node--Based Algebraic Multigrid Method},
         journal = {SIAM Journal on Scientific Computing},
            year = {2017},
          volume = {39},
          number = {5},
           pages = {S723-S756},
}

Gropp, William, Olson, Luke N., Samfass, Philipp, Modeling MPI Communication Performance on SMP Nodes: Is It Time to Retire the Ping Pong Test, Proceedings of the 23rd European MPI Users' Group Meeting, New York, NY, USA, ACM, 2016.
BibTeX PDF DOI: 10.1145/2966884.2966919 URL


@inproceedings{2016_GrOlSa_pingpong,
          author = {Gropp, William and Olson, Luke N. and Samfass, Philipp},
           title = {Modeling {MPI} Communication Performance on {SMP} Nodes: Is
                    It Time to Retire the Ping Pong Test},
            year = {2016},
         address = {New York, NY, USA},
       booktitle = {Proceedings of the 23rd European MPI Users' Group Meeting},
           pages = {41--50},
       publisher = {ACM},
          series = {EuroMPI 2016},
}

Bienz, Amanda, Falgout, Robert D., Gropp, William, Olson, Luke N., Schroder, Jacob B., Reducing Parallel Communication in Algebraic Multigrid through Sparsification, SIAM Journal on Scientific Computing, 38 (2016), S332-S357.
BibTeX PDF DOI: 10.1137/15M1026341


@article{2016_BiFaGrOlSc,
          author = {Bienz, Amanda and Falgout, Robert D. and Gropp, William and
                    Olson, Luke N. and Schroder, Jacob B.},
           title = {Reducing Parallel Communication in Algebraic Multigrid
                    through Sparsification},
         journal = {SIAM Journal on Scientific Computing},
            year = {2016},
          volume = {38},
          number = {5},
           pages = {S332-S357},
}

Olson, Luke N., Algebraic Multigrid Methods, Encyclopedia of Applied and Computational Mathematics, Springer Berlin Heidelberg, 2015.
BibTeX PDF DOI: 10.1007/978-3-540-70529-1


@incollection{2015_Ol_encamg,
          author = {Olson, Luke N.},
           title = {Algebraic Multigrid Methods},
            year = {2015},
       booktitle = {Encyclopedia of Applied and Computational Mathematics},
          editor = {Bj\"orn Engquist},
           pages = {977--981},
       publisher = {Springer Berlin Heidelberg},
}

Olson, Luke N., Geometric Multigrid Methods, Encyclopedia of Applied and Computational Mathematics, Springer Berlin Heidelberg, 2015.
BibTeX PDF DOI: 10.1007/978-3-540-70529-1


@incollection{2015_Ol_encmg,
          author = {Olson, Luke N.},
           title = {Geometric Multigrid Methods},
            year = {2015},
       booktitle = {Encyclopedia of Applied and Computational Mathematics},
          editor = {Bj\"orn Engquist},
           pages = {981--987},
       publisher = {Springer Berlin Heidelberg},
}

Laguna, Ignacio, Schulz, Martin, Richards, David F., Calhoun, Jon, Olson, Luke, IPAS: Intelligent Protection Against Silent Output Corruption in Scientific Applications, Proceedings of the 2016 International Symposium on Code Generation and Optimization, New York, NY, USA, ACM, 2016.
BibTeX PDF DOI: 10.1145/2854038.2854059 URL


@inproceedings{2015_LaScRiCaOl_ipas,
          author = {Laguna, Ignacio and Schulz, Martin and Richards, David F.
                    and Calhoun, Jon and Olson, Luke},
           title = {{IPAS}: Intelligent Protection Against Silent Output
                    Corruption in Scientific Applications},
            year = {2016},
         address = {New York, NY, USA},
       booktitle = {Proceedings of the 2016 International Symposium on Code
                    Generation and Optimization},
           pages = {227--238},
       publisher = {ACM},
          series = {CGO 2016},
}

Calhoun, J., Snir, M., Olson, L., Garzaran, M., Understanding the Propagation of Error Due to a Silent Data Corruption in a Sparse Matrix Vector Multiply, 2015 IEEE International Conference on Cluster Computing, 2015, Best Poster Award.
BibTeX PDF DOI: 10.1109/CLUSTER.2015.101


@inproceedings{2015_CaSnOlGa,
          author = {Calhoun, J. and Snir, M. and Olson, L. and Garzaran, M.},
           title = {Understanding the Propagation of Error Due to a Silent Data
                    Corruption in a Sparse Matrix Vector Multiply},
            year = {2015},
       booktitle = {2015 IEEE International Conference on Cluster Computing},
           month = {9},
            note = {Best Poster Award},
           pages = {541--542},
}

Beams, Natalie N., Olson, Luke N., Freund, Jonathan B., A Finite Element Based P^3M Method for N-Body Problems, SIAM Journal on Scientific Computing, 38 (2016), A1538-A1560.
BibTeX PDF DOI: 10.1137/15M1014644 URL


@article{2015_BeFrOl_fepppm,
          author = {Beams, Natalie N. and Olson, Luke N. and Freund, Jonathan
                    B.},
           title = {A Finite Element Based {P$^3$M} Method for N-Body Problems},
         journal = {SIAM Journal on Scientific Computing},
            year = {2016},
          volume = {38},
          number = {3},
           pages = {A1538-A1560},
}

Dalton, S., Baxter, S., Merrill, D., Olson, L., Garland, M., Optimizing Sparse Matrix Operations on GPUs Using Merge Path, Parallel and Distributed Processing Symposium (IPDPS), 2015 IEEE International, 2015.
BibTeX PDF DOI: 10.1109/IPDPS.2015.98


@inproceedings{2015_DaBaMeOlGa_merge,
          author = {Dalton, S. and Baxter, S. and Merrill, D. and Olson, L. and
                    Garland, M.},
           title = {Optimizing Sparse Matrix Operations on {GPU}s Using Merge
                    Path},
            year = {2015},
       booktitle = {Parallel and Distributed Processing Symposium (IPDPS), 2015
                    IEEE International},
           month = {5},
           pages = {407--416},
}

Guo, Dahai, Gropp, William, Olson, Luke N, A Hybrid Format for Better Performance of Sparse Matrix-Vector Multiplication on a GPU, International Journal of High Performance Computing Applications, 2015.
BibTeX PDF DOI: 10.1177/1094342015593156 URL


@article{2015_GuGrOl_gpu,
          author = {Guo, Dahai and Gropp, William and Olson, Luke N},
           title = {A Hybrid Format for Better Performance of Sparse Matrix-
                    Vector Multiplication on a {GPU}},
         journal = {International Journal of High Performance Computing
                    Applications},
            year = {2015},
           month = {1},
}

Dalton, Steven, Olson, Luke, Bell, Nathan, Optimizing Sparse Matrix-Matrix Multiplication for the GPU, ACM Transactions on Mathematical Software, 41 (2015), 25:1-25:20.
BibTeX PDF DOI: 10.1145/2699470 URL


@article{2015_BeDaOl_SPMM,
          author = {Dalton, Steven and Olson, Luke and Bell, Nathan},
           title = {Optimizing Sparse Matrix-Matrix Multiplication for the
                    {GPU}},
         journal = {{ACM} Transactions on Mathematical Software},
            year = {2015},
         address = {New York, NY, USA},
           month = {oct},
          volume = {41},
          number = {4},
           pages = {25:1--25:20},
       publisher = {ACM},
}

Beckwith, K., Veitzer, S., McCormick, S.F., Ruge, J.W., Olson, L.N., Calhoun, J.C., Fully-implicit ultrascale physics solvers and application to ion source modelling, Plasma Sciences (ICOPS) held with 2014 IEEE International Conference on High-Power Particle Beams (BEAMS), 2014 IEEE 41st International Conference on, 2014.
BibTeX PDF DOI: 10.1109/PLASMA.2014.7012726


@inproceedings{2015_BeMcOlVeRuCa_plasma,
          author = {Beckwith, K. and Veitzer, S. and McCormick, S.F. and Ruge,
                    J.W. and Olson, L.N. and Calhoun, J.C.},
           title = {Fully-implicit ultrascale physics solvers and application to
                    ion source modelling},
            year = {2014},
       booktitle = {Plasma Sciences (ICOPS) held with 2014 IEEE International
                    Conference on High-Power Particle Beams (BEAMS), 2014 IEEE
                    41st International Conference on},
           month = {5},
           pages = {1--8},
}

Calhoun, Jon, Olson, Luke N., Snir, Marc, Gropp, William D., Towards a More Fault Resilient Multigrid Solver, Proceedings of the High Performance Computing Symposium, San Diego, CA, USA, Society for Computer Simulation International, 2015.
BibTeX PDF URL


@inproceedings{2015_CaOlSnGr_framg,
          author = {Calhoun, Jon and Olson, Luke N. and Snir, Marc and Gropp,
                    William D.},
           title = {Towards a More Fault Resilient Multigrid Solver},
            year = {2015},
         address = {San Diego, CA, USA},
       booktitle = {Proceedings of the High Performance Computing Symposium},
       publisher = {Society for Computer Simulation International},
          series = {HPC 15},
}

Cheng, Zuofu, Shaffer, Eric, Yeh, Raine, Zagaris, George, Olson, Luke, Efficient parallel optimization of volume meshes on heterogeneous computing systems, Engineering with Computers, 2015, 1-10.
BibTeX PDF DOI: 10.1007/s00366-014-0393-7


@article{2015_ChShYeZaOl_meshes,
          author = {Cheng, Zuofu and Shaffer, Eric and Yeh, Raine and Zagaris,
                    George and Olson, Luke},
           title = {Efficient parallel optimization of volume meshes on
                    heterogeneous computing systems},
         journal = {Engineering with Computers},
            year = {2015},
           pages = {1--10},
       publisher = {Springer London},
}

Calhoun, Jon, Olson, Luke, Snir, Marc, FlipIt: An LLVM Based Fault Injector for HPC, Euro-Par 2014: Parallel Processing Workshops, Springer International Publishing, 8805 (2014).
BibTeX PDF DOI: 10.1007/978-3-319-14325-5\_47


@incollection{2014_CaOlSn_FlipIt,
          author = {Calhoun, Jon and Olson, Luke and Snir, Marc},
           title = {{FlipIt}: An {LLVM} Based Fault Injector for {HPC}},
            year = {2014},
       booktitle = {Euro-Par 2014: Parallel Processing Workshops},
          editor = {Lopes, Luis and Zilinskas, Julius and Costan, Alexandru and
                    Cascella, Roberto G. and Kecskemeti, Gabor and Jeannot,
                    Emmanuel and Cannataro, Mario and Ricci, Laura and Benkner,
                    Siegfried and Petit, Salvador and Scarano, Vittorio and
                    Gracia, Jose and Hunold, Sascha and Scott, Stephen L. and
                    Lankes, Stefan and Lengauer, Christian and Carretero, Jesus
                    and Breitbart, Jens and Alexander, Michael},
          volume = {8805},
           pages = {547--558},
       publisher = {Springer International Publishing},
          series = {Lecture Notes in Computer Science},
}

Shaffer, Eric, Cheng, Zuofu, Yeh, Raine, Zagaris, George, Olson, Luke, Efficient GPU-based Optimization of Volume Meshes, Accelerating Computational Science and Engineering (CSE), IOS Press, 25 (2014).
BibTeX PDF DOI: 10.3233/978-1-61499-381-0-285


@inproceedings{2014_Shetal_gpuvolumemesh,
          author = {Shaffer, Eric and Cheng, Zuofu and Yeh, Raine and Zagaris,
                    George and Olson, Luke},
           title = {Efficient GPU-based Optimization of Volume Meshes},
            year = {2014},
       booktitle = {Accelerating Computational Science and Engineering (CSE)},
          editor = {M. Bader and A. Bode and H.J. Bungartz and M. Gerndt and
                    G.R. Joubert and F. Peters},
          volume = {25},
           pages = {285--294},
       publisher = {IOS Press},
          series = {Advances in Parallel Computing},
}

Chaudhry, J., Cyr, E., Liu, K., Manteuffel, T., Olson, L., Tang, L., Enhancing Least-Squares Finite Element Methods Through a Quantity-of-Interest, SIAM Journal on Numerical Analysis, 52 (2014), 3085-3105.
BibTeX PDF DOI: 10.1137/13090496X


@article{2014_ChCyLiMaOlTa_goal,
          author = {Chaudhry, J. and Cyr, E. and Liu, K. and Manteuffel, T. and
                    Olson, L. and Tang, L.},
           title = {Enhancing Least-Squares Finite Element Methods Through a
                    Quantity-of-Interest},
         journal = {SIAM Journal on Numerical Analysis},
            year = {2014},
          volume = {52},
          number = {6},
           pages = {3085--3105},
}

MacLachlan, Scott P., Olson, Luke N., Theoretical bounds for algebraic multigrid performance: review and analysis, Numerical Linear Algebra with Applications, 21 (2014), 194-220.
BibTeX PDF DOI: 10.1002/nla.1930


@article{2014_MaOl_amgtheory,
          author = {MacLachlan, Scott P. and Olson, Luke N.},
           title = {Theoretical bounds for algebraic multigrid performance:
                    review and analysis},
         journal = {Numerical Linear Algebra with Applications},
            year = {2014},
          volume = {21},
          number = {2},
           pages = {194--220},
}

Byrne, Matthew B., Kimura, Yuki, Kapoor, Ashish, He, Yuan, Mattam, Kewin S., Hasan, Katherine M., Olson, Luke N., Wang, Fei, Kenis, Paul J. A., Rao, Christopher V., Oscillatory Behavior of Neutrophils under Opposing Chemoattractant Gradients Supports a Winner-Take-All Mechanism, PLoS ONE, 9 (2014), e85726.
BibTeX PDF DOI: 10.1371/journal.pone.0085726 URL


@article{2014_Byetal_neutrophil,
          author = {Byrne, Matthew B. and Kimura, Yuki and Kapoor, Ashish and
                    He, Yuan and Mattam, Kewin S. and Hasan, Katherine M. and
                    Olson, Luke N. and Wang, Fei and Kenis, Paul J. A. and Rao,
                    Christopher V.},
           title = {Oscillatory Behavior of Neutrophils under Opposing
                    Chemoattractant Gradients Supports a Winner-Take-All
                    Mechanism},
         journal = {PLoS ONE},
            year = {2014},
           month = {1},
          volume = {9},
          number = {1},
           pages = {e85726},
       publisher = {Public Library of Science},
}

Chaudhry, Jehanzeb Hameed, Comer, Jeffrey, Aksimentiev, Aleksei, Olson, Luke N., A finite element method for modified Poisson-Nernst-Planck equations to determine ion flow though a nanopore, Communications in Computational Physics, 15 (2014), 93-125.
BibTeX PDF DOI: 10.4208/cicp.101112.100413a URL


@article{2014_ChCoAkOl_mpnpe,
          author = {Chaudhry, Jehanzeb Hameed and Comer, Jeffrey and
                    Aksimentiev, Aleksei and Olson, Luke N.},
           title = {A finite element method for modified
                    {P}oisson-{N}ernst-{P}lanck equations to determine ion flow
                    though a nanopore},
         journal = {Communications in Computational Physics},
            year = {2014},
          volume = {15},
           pages = {93--125},
}

Bochev, Pavel, Lai, James, Olson, Luke, A non-conforming least-squares finite element method for incompressible fluid flow problems, International Journal for Numerical Methods in Fluids, 2012, 375-402.
BibTeX PDF DOI: 10.1002/fld.3748


@article{2012_BoLaOl_disclsv,
          author = {Bochev, Pavel and Lai, James and Olson, Luke},
           title = {A non-conforming least-squares finite element method for
                    incompressible fluid flow problems},
         journal = {International Journal for Numerical Methods in Fluids},
            year = {2012},
           pages = {375--402},
       publisher = {John Wiley \& Sons, Ltd},
}

Bell, N., Dalton, S., Olson, L., Exposing Fine-Grained Parallelism in Algebraic Multigrid Methods, SIAM Journal on Scientific Computing, 34 (2012), C123-C152.
BibTeX PDF DOI: 10.1137/110838844


@article{2012_BeDaOl_amggpu,
          author = {Bell, N. and Dalton, S. and Olson, L.},
           title = {Exposing Fine-Grained Parallelism in Algebraic Multigrid
                    Methods},
         journal = {SIAM Journal on Scientific Computing},
            year = {2012},
          volume = {34},
          number = {4},
           pages = {C123--C152},
}

Bell, Nathan, Dalton, Steven, Olson, Luke, Exposing Fine-Grained Parallelism in Algebraic Multigrid Methods, NVR-2011-002, NVIDIA Corporation, 6, 2011.
BibTeX PDF URL


@techreport{2011_BeDaOl_amggpu_tr,
          author = {Bell, Nathan and Dalton, Steven and Olson, Luke},
           title = {Exposing Fine-Grained Parallelism in Algebraic Multigrid
                    Methods},
            year = {2011},
     institution = {{NVIDIA} Corporation},
           month = {6},
          number = {NVR-2011-002},
}

Chaudhry, Jehanzeb Hameed, Bond, Stephen D., Olson, Luke N., A weighted adaptive least-squares finite element method for the Poisson-Boltzmann equation, Applied Mathematics and Computation, 218 (2012), 4892-4902.
BibTeX PDF DOI: 10.1016/j.amc.2011.10.054 URL


@article{2012_ChBoOl_rescaledpbe,
          author = {Chaudhry, Jehanzeb Hameed and Bond, Stephen D. and Olson,
                    Luke N.},
           title = {A weighted adaptive least-squares finite element method for
                    the {P}oisson-{B}oltzmann equation},
         journal = {Applied Mathematics and Computation},
            year = {2012},
          volume = {218},
          number = {9},
           pages = {4892--4902},
}

Lai, James H., Olson, Luke N., Algebraic Multigrid for High-Order Hierarchical H(curl) Finite Elements, SIAM Journal on Scientific Computing, 33 (2011), 2888-2902.
BibTeX PDF DOI: 10.1137/100799095 URL


@article{2011_LaOl_hierhocurl,
          author = {Lai, James H. and Olson, Luke N.},
           title = {Algebraic Multigrid for High-Order Hierarchical {$H(curl)$}
                    Finite Elements},
         journal = {SIAM Journal on Scientific Computing},
            year = {2011},
          volume = {33},
          number = {5},
           pages = {2888--2902},
       publisher = {SIAM},
}

Olson, Luke N., Schroder, Jacob B., Components of a more robust multilevel solver for emerging architectures and complex applications, SciDAC 2011, Denver, CO, 2011.
BibTeX PDF


@inproceedings{2011_OlSc_scidac11,
          author = {Olson, Luke N. and Schroder, Jacob B.},
           title = {Components of a more robust multilevel solver for emerging
                    architectures and complex applications},
            year = {2011},
         address = {Denver, CO},
       booktitle = {SciDAC 2011},
           month = {7},
}

Olson, Luke N., Schroder, Jacob B., Smoothed aggregation multigrid solvers for high-order discontinuous Galerkin methods for elliptic problems, Journal of Computational Physics, 230 (2011), 6959-6976.
BibTeX PDF DOI: 10.1016/j.jcp.2011.05.009 URL


@article{2011_OlSc_hodg,
          author = {Olson, Luke N. and Schroder, Jacob B.},
           title = {Smoothed aggregation multigrid solvers for high-order
                    discontinuous {G}alerkin methods for elliptic problems},
         journal = {Journal of Computational Physics},
            year = {2011},
          volume = {230},
          number = {18},
           pages = {6959--6976},
}

Olson, Luke, Langtangen, Hans Petter, Woodward, Carol S., CSE 2011: SIAG/CSE Holds Milestone Meeting in Reno, SIAM News, 44 (2011).
BibTeX PDF URL


@article{2011_OlLaWo_csenews,
          author = {Olson, Luke and Langtangen, Hans Petter and Woodward, Carol
                    S.},
           title = {CSE 2011: SIAG/CSE Holds Milestone Meeting in {R}eno},
         journal = {SIAM News},
            year = {2011},
           month = {6},
          volume = {44},
          number = {5},
}

Olson, Luke N., Schroder, Jacob B., Tuminaro, Raymond S., A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization, SIAM Journal on Scientific Computing, 33 (2011), 966-991.
BibTeX PDF DOI: 10.1137/100803031 URL


@article{2011_OlScTu_energymin,
          author = {Olson, Luke N. and Schroder, Jacob B. and Tuminaro, Raymond
                    S.},
           title = {A General Interpolation Strategy for Algebraic Multigrid
                    Using Energy Minimization},
         journal = {SIAM Journal on Scientific Computing},
            year = {2011},
          volume = {33},
          number = {2},
           pages = {966--991},
       publisher = {SIAM},
}

Bochev, Pavel, Lai, James, Olson, Luke, A locally conservative, discontinuous least-squares finite element method for the Stokes equations, International Journal for Numerical Methods in Fluids, 2011, 782–-804.
BibTeX PDF DOI: 10.1002/fld.2536


@article{2011_BoLaOl_discls,
          author = {Bochev, Pavel and Lai, James and Olson, Luke},
           title = {A locally conservative, discontinuous least-squares finite
                    element method for the {S}tokes equations},
         journal = {International Journal for Numerical Methods in Fluids},
            year = {2011},
           pages = {782–-804},
       publisher = {John Wiley \& Sons, Ltd.},
}

Lai, J., Bochev, P., Olson, L., Peterson, K., Ridzal, D., Siefert, C., A Discontinuous Velocity Least Squares Finite Element Method for the Stokes Equations With Improved Mass Conservation, CSRI Summer Proceedings 2010, Sandia National Laboratory, 2010.
BibTeX PDF


@inproceedings{2010_LaBoOlPeRiSi_disclsproceed,
          author = {Lai, J. and Bochev, P. and Olson, L. and Peterson, K. and
                    Ridzal, D. and Siefert, C.},
           title = {A Discontinuous Velocity Least Squares Finite Element Method
                    for the {S}tokes Equations With Improved Mass Conservation},
            year = {2010},
       booktitle = {CSRI Summer Proceedings 2010, Sandia National Laboratory},
           month = {12},
}

Chaudhry, Jehanzeb, Bond, Stephen, Olson, Luke, Finite element approximation to a finite-size modified Poisson-Boltzmann equation, Journal of Scientific Computing, 47 (2010), 347-364.
BibTeX PDF DOI: 10.1007/s10915-010-9441-7


@article{2010_ChBoOl_mpbe,
          author = {Chaudhry, Jehanzeb and Bond, Stephen and Olson, Luke},
           title = {Finite element approximation to a finite-size modified
                    {P}oisson--{B}oltzmann equation},
         journal = {Journal of Scientific Computing},
            year = {2010},
          volume = {47},
           pages = {347--364},
       publisher = {Springer Netherlands},
}

Zhao, Hong, Isfahani, Amir H. G., Olson, Luke N., Freund, Jonathan B., A spectral boundary integral method for flowing blood cells, Journal of Computational Physics, 229 (2010), 3726-3744.
BibTeX PDF DOI: 10.1016/j.jcp.2010.01.024


@article{2010_ZhIsOlFr_blood,
          author = {Zhao, Hong and Isfahani, Amir H. G. and Olson, Luke N. and
                    Freund, Jonathan B.},
           title = {A spectral boundary integral method for flowing blood
                    cells},
         journal = {Journal of Computational Physics},
            year = {2010},
          volume = {229},
          number = {10},
           pages = {3726--3744},
}

Olson, Luke N., Schroder, Jacob B., Smoothed aggregation for Helmholtz problems, Numerical Linear Algebra with Applications, 17 (2010), 361-386.
BibTeX PDF DOI: 10.1002/nla.686


@article{2010_OlSc_helmsa,
          author = {Olson, Luke N. and Schroder, Jacob B.},
           title = {Smoothed aggregation for {H}elmholtz problems},
         journal = {Numerical Linear Algebra with Applications},
            year = {2010},
          volume = {17},
          number = {2--3},
           pages = {361--386},
       publisher = {John Wiley \& Sons, Ltd.},
}

Alber, D.M., Olson, L.N., Coarsening Invariance and Bucket-Sorted Independent Sets for Algebraic Multigrid, Electronic Transactions on Numerical Analysis, 37 (2010), 367-385.
BibTeX PDF URL


@article{2010_AlOl_bsis,
          author = {Alber, D.M. and Olson, L.N.},
           title = {Coarsening Invariance and Bucket-Sorted Independent Sets for
                    Algebraic Multigrid},
         journal = {Electronic Transactions on Numerical Analysis},
            year = {2010},
          volume = {37},
           pages = {367--385},
}

Bond, Stephen D., Chaudhry, Jehanzeb Hameed, Cyr, Eric C., Olson, Luke N., A First-Order Systems Least-Squares Finite Element Method for the Poisson-Boltzmann Equation, Journal of Computational Chemistry, 31 (2010), 1625-1635.
BibTeX PDF DOI: 10.1002/jcc.21446


@article{2010_BoChCyOl_lspbe,
          author = {Bond, Stephen D. and Chaudhry, Jehanzeb Hameed and Cyr, Eric
                    C. and Olson, Luke N.},
           title = {A First-Order Systems Least-Squares Finite Element Method
                    for the {P}oisson-{B}oltzmann Equation},
         journal = {Journal of Computational Chemistry},
            year = {2010},
          volume = {31},
          number = {8},
           pages = {1625--1635},
       publisher = {Wiley Subscription Services, Inc., A Wiley Company},
}

Olson, Luke N., Schroder, Jacob, Tuminaro, Raymond S., A new perspective on strength measures in algebraic multigrid, Numerical Linear Algebra with Applications, 17 (2010), 713-733.
BibTeX PDF DOI: 10.1002/nla.669


@article{2010_OlScTu_evosoc,
          author = {Olson, Luke N. and Schroder, Jacob and Tuminaro, Raymond
                    S.},
           title = {A new perspective on strength measures in algebraic
                    multigrid},
         journal = {Numerical Linear Algebra with Applications},
            year = {2010},
          volume = {17},
          number = {4},
           pages = {713--733},
       publisher = {John Wiley \& Sons, Ltd.},
}

Schroder, J., Tuminaro, R., Olson, L., Generalized Strength of Connection in Algebraic Multigrid, CSRI Summer Proceedings 2007, Sandia National Laboratory, 2007.
BibTeX PDF


@inproceedings{2007_ScTuOl_socproceedings,
          author = {Schroder, J. and Tuminaro, R. and Olson, L.},
           title = {Generalized Strength of Connection in Algebraic Multigrid},
            year = {2007},
       booktitle = {CSRI Summer Proceedings 2007, Sandia National Laboratory},
           month = {12},
}

Bell, Nathan, Olson, Luke N., Algebraic multigrid for k-form Laplacians, Numerical Linear Algebra with Applications, 15 (2008), 165-185.
BibTeX PDF DOI: 10.1002/nla.577


@article{2008_BeOl_xsa,
          author = {Bell, Nathan and Olson, Luke N.},
           title = {Algebraic multigrid for $k$-form {L}aplacians},
         journal = {Numerical Linear Algebra with Applications},
            year = {2008},
          volume = {15},
          number = {2--3},
           pages = {165--185},
}

Lin, Xi, Olson, Luke, Jin, Jianming, An interpolatory spectral element method using curl-conforming vector basis functions on tetrahedra, Antennas and Propagation Society International Symposium, 2007 IEEE, 2007.
BibTeX PDF DOI: 10.1109/APS.2007.4396692


@inproceedings{2007_LiOlJi_spectralcurl,
          author = {Lin, Xi and Olson, Luke and Jin, Jianming},
           title = {An interpolatory spectral element method using curl-
                    conforming vector basis functions on tetrahedra},
            year = {2007},
       booktitle = {Antennas and Propagation Society International Symposium,
                    2007 IEEE},
           month = {6},
           pages = {5095--5098},
}

Alber, David M., Olson, Luke N., Parallel coarse-grid selection, Numerical Linear Algebra with Applications, 14 (2007), 611-643.
BibTeX PDF DOI: 10.1002/nla.541


@article{2007_AlOl_pcgselect,
          author = {Alber, David M. and Olson, Luke N.},
           title = {Parallel coarse-grid selection},
         journal = {Numerical Linear Algebra with Applications},
            year = {2007},
          volume = {14},
          number = {8},
           pages = {611--643},
}

Olson, Luke, Algebraic multigrid preconditioning of high-order spectral elements for elliptic problems on a simplicial mesh, SIAM J. Sci. Comput., 29 (2007), 2189-2209.
BibTeX PDF DOI: 10.1137/060663465


@article{2007_Olson_hoamgtri,
          author = {Olson, Luke},
           title = {Algebraic multigrid preconditioning of high-order spectral
                    elements for elliptic problems on a simplicial mesh},
         journal = {SIAM J. Sci. Comput.},
            year = {2007},
          volume = {29},
          number = {5},
           pages = {2189--2209},
}

Hesthaven, J. S., Olson, L. N., Wilcox, L. C, Developments in Overlapping Schwarz Preconditioning of High-Order Nodal Discontinuous Galerkin Discretizations, Domain Decomposition Methods in Science and Engineering XVI, Springer Berlin Heidelberg, 55 (2007).
BibTeX PDF DOI: 10.1007/978-3-540-34469-8\_39


@inproceedings{2007_HeOlWi_asmhelm,
          author = {Hesthaven, J. S. and Olson, L. N. and Wilcox, L. C},
           title = {Developments in Overlapping {S}chwarz Preconditioning of
                    High-Order Nodal Discontinuous {G}alerkin Discretizations},
            year = {2007},
       booktitle = {Domain Decomposition Methods in Science and Engineering
                    XVI},
          volume = {55},
           pages = {325--332},
       publisher = {Springer Berlin Heidelberg},
          series = {Lecture Notes in Computational Science and Engineering},
}

Heys, J. J., Manteuffel, T. A., McCormick, S. F., Olson, L. N., Algebraic multigrid for higher-order finite elements, J. Comput. Phys., 204 (2005), 520-532.
BibTeX PDF DOI: 10.1016/j.jcp.2004.10.021


@article{2005_HeMaMcOl_hoamg,
          author = {Heys, J. J. and Manteuffel, T. A. and McCormick, S. F. and
                    Olson, L. N.},
           title = {Algebraic multigrid for higher-order finite elements},
         journal = {J. Comput. Phys.},
            year = {2005},
          volume = {204},
          number = {2},
           pages = {520--532},
}

de Sterck, H., Manteuffel, Thomas A., McCormick, Stephen F., Olson, Luke, Numerical conservation properties of H(\rm div)-conforming least-squares finite element methods for the Burgers equation, SIAM J. Sci. Comput., 26 (2005), 1573-1597.
BibTeX PDF DOI: 10.1137/S1064827503430758


@article{2005_dSMaMcOl_divls,
          author = {{d}e Sterck, H. and Manteuffel, Thomas A. and McCormick,
                    Stephen F. and Olson, Luke},
           title = {Numerical conservation properties of {$H({\rm
                    div})$}-conforming least-squares finite element methods for
                    the {B}urgers equation},
         journal = {SIAM J. Sci. Comput.},
            year = {2005},
          volume = {26},
          number = {5},
           pages = {1573--1597},
}

de Sterck, H., Manteuffel, Thomas A., McCormick, Stephen F., Olson, Luke, Least-squares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs, SIAM J. Sci. Comput., 26 (2004), 31-54.
BibTeX PDF DOI: 10.1137/S106482750240858X


@article{2004_dSMaMcOl_hypls,
          author = {{d}e Sterck, H. and Manteuffel, Thomas A. and McCormick,
                    Stephen F. and Olson, Luke},
           title = {Least-squares finite element methods and algebraic multigrid
                    solvers for linear hyperbolic {PDE}s},
         journal = {SIAM J. Sci. Comput.},
            year = {2004},
          volume = {26},
          number = {1},
           pages = {31--54},
}

Olson, L. N., A Dual Least-Squares Finite Element Method for Hyperbolic PDEs, Eleventh Copper Mountain Conference On Multigrid Methods, 2003, (Best student paper).
BibTeX PDF


@inproceedings{2003_Olson_dualls,
          author = {Olson, L. N.},
           title = {A Dual Least-Squares Finite Element Method for Hyperbolic
                    PDEs},
            year = {2003},
       booktitle = {Eleventh Copper Mountain Conference On Multigrid Methods},
            note = {(Best student paper)},
}

Olson, L. N., Multilevel Least-Squares Finite Element Methods for Hyperbolic PDEs, University of Colorado at Boulder, Department of Applied Mathematics, 2003.
BibTeX PDF


@phdthesis{2003_Olson_thesis,
          author = {Olson, L. N.},
           title = {Multilevel Least-Squares Finite Element Methods for
                    Hyperbolic {PDEs}},
            year = {2003},
         address = {Department of Applied Mathematics},
          school = {University of Colorado at Boulder},
}

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