Summary
Research Focus:
 Multigrid methods
 Sparse matrix computations
 Finite element methods
 High performance computing
 Scalable solvers on GPUs, largescale systems
Jump to:
Group
Shelby Lockhart
scalable Krylov methods, preconditioning, hybrid programmingPete Sentz
finite elements, reduced order modelingLukas Spies
GPUs, structured solversFormer PhD Students

Andrew Reisner,
PhD, 2019
 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: Highorder hybrid methods using Green's functions and finite elements
 Nbody methods, finite elements, multigrid

Jon Calhoun,
PhD, 2017
 Thesis: From detection to optimization: impact of soft errors on highperformance 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, highthroughput 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, leastsquares and discontinuous leastsquares finite element methods, highorder, vector ele ments, Stokes flow

Jehanzeb Hameed Chaudhry,
PhD, 2011
 Thesis: Finite element methods for implicit solvent models
 implicit solvation models, leastsquares finite element methods, PoissonBoltzmann equation, PoissonNerstPlanck , error adaptivity, adjoint estimators

Jacob Schroder,
PhD, 2010
 Thesis: Generalizing smoothed aggregationbased algebraic multigrid
 algebraic multigrid, complex nonsymmetric matrices, highorder 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
Former MS Students
 Philipp Samfass, MS, 2016
 Adam Hug, MS, 2014
 Matt Wrobel, MS, 2012
Publications

Chaudhry, Jehanzeb H., Olson, Luke N., Sentz, Peter, A LeastSquares Finite Element Reduced Basis Method, SIAM Journal on Scientific Computing, 43 (2021), A1081A1107.
BibTeX DOI: 10.1137/20M1323552 URL@article{chaudhry2020leastsquares, author = {Chaudhry, Jehanzeb H. and Olson, Luke N. and Sentz, Peter}, title = {A LeastSquares Finite Element Reduced Basis Method}, journal = {SIAM Journal on Scientific Computing}, year = {2021}, volume = {43}, number = {2}, pages = {A1081A1107}, }

Reisner, Andrew, Bernddt, Marku, Moulton, J. David, Olson, Luke N., Scalable line and plane relaxation in a parallel structured multigrid solver, Parallel Computing, 100 (2020), 102705.
BibTeX DOI: https://doi.org/10.1016/j.parco.2020.102705 URL@article{2020_ReBeMoOl_plane, author = {Reisner, Andrew and Bernddt, Marku 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 multistep node aware communication, The International Journal of High Performance Computing Applications, 34 (2020), 547561.
BibTeX 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 = {547561}, }

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 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 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 = {2130}, }

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 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 = {778786}, }

Bienz, A., Olson, L., Gropp, W., NodeAware Improvements to Allreduce, 2019 IEEE/ACM Workshop on Exascale MPI (ExaMPI), , (2019).
BibTeX DOI: 10.1109/ExaMPI49596.2019.00008@inproceedings{2019_BiOlGr, author = {{Bienz}, A. and {Olson}, L. and {Gropp}, W.}, title = {NodeAware Improvements to Allreduce}, year = {2019}, booktitle = {2019 IEEE/ACM Workshop on Exascale MPI (ExaMPI)}, volume = {}, number = {}, pages = {1928}, }

Glimberg, Stefan Lemvig, EngsigKarup, 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), 855868.
BibTeX DOI: 10.1177/1094342019826662@article{2019_GlEKOl_hydro, author = {Glimberg, Stefan Lemvig and EngsigKarup, 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 = {855868}, }

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 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 PointtoPoint Communication, Proceedings of the 25th European MPI Users' Group Meeting, New York, NY, USA, ACM, 2018.
BibTeX 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 PointtoPoint Communication}, year = {2018}, address = {New York, NY, USA}, booktitle = {Proceedings of the 25th European MPI Users' Group Meeting}, pages = {7:17:8}, 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), 397410.
BibTeX 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 = {397410}, }

Reisner, A., Olson, L., Moulton, J., Scaling Structured Multigrid to 500K+ Cores Through CoarseGrid Redistribution, SIAM Journal on Scientific Computing, 40 (2018), C581C604.
BibTeX 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 = {C581C604}, }

Beams, Natalie N., Kl\"ockner, Andreas, Olson, Luke N., Highorder finite element–integral equation coupling on embedded meshes, Journal of Computational Physics, 375 (2018), 1295  1313.
BibTeX 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 = {Highorder 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 RootNodeBased Algebraic Multigrid Method, SIAM Journal on Scientific Computing, 39 (2017), S723S756.
BibTeX 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 RootNodeBased Algebraic Multigrid Method}, journal = {SIAM Journal on Scientific Computing}, year = {2017}, volume = {39}, number = {5}, pages = {S723S756}, }

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 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 = {4150}, 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), S332S357.
BibTeX 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 = {S332S357}, }

Olson, Luke N., Algebraic Multigrid Methods, Encyclopedia of Applied and Computational Mathematics, Springer Berlin Heidelberg, 2015.
BibTeX PDF DOI: 10.1007/9783540705291@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 = {977981}, publisher = {Springer Berlin Heidelberg}, }

Olson, Luke N., Geometric Multigrid Methods, Encyclopedia of Applied and Computational Mathematics, Springer Berlin Heidelberg, 2015.
BibTeX PDF DOI: 10.1007/9783540705291@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 = {981987}, 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 = {227238}, 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 = {541542}, }

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), A1538A1560.
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 = {A1538A1560}, }

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 GPUs Using Merge Path}, year = {2015}, booktitle = {Parallel and Distributed Processing Symposium (IPDPS), 2015 IEEE International}, month = {5}, pages = {407416}, }

Guo, Dahai, Gropp, William, Olson, Luke N, A Hybrid Format for Better Performance of Sparse MatrixVector 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&Mdash;Matrix Multiplication for the GPU, ACM Transactions on Mathematical Software, 41 (2015), 25:125:20.
BibTeX PDF DOI: 10.1145/2699470 URL@article{2015_BeDaOl_SPMM, author = {Dalton, Steven and Olson, Luke and Bell, Nathan}, title = {Optimizing Sparse Matrix\&Mdash;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 = {25:125:20}, publisher = {ACM}, }

Beckwith, K., Veitzer, S., McCormick, S.F., Ruge, J.W., Olson, L.N., Calhoun, J.C., Fullyimplicit ultrascale physics solvers and application to ion source modelling, Plasma Sciences (ICOPS) held with 2014 IEEE International Conference on HighPower 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 = {Fullyimplicit ultrascale physics solvers and application to ion source modelling}, year = {2014}, booktitle = {Plasma Sciences (ICOPS) held with 2014 IEEE International Conference on HighPower Particle Beams (BEAMS), 2014 IEEE 41st International Conference on}, month = {5}, pages = {18}, }

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, 110.
BibTeX PDF DOI: 10.1007/s0036601403937@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 = {110}, publisher = {Springer London}, }

Calhoun, Jon, Olson, Luke, Snir, Marc, FlipIt: An LLVM Based Fault Injector for HPC, EuroPar 2014: Parallel Processing Workshops, Springer International Publishing, 8805 (2014).
BibTeX PDF DOI: 10.1007/9783319143255_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 = {EuroPar 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 = {547558}, publisher = {Springer International Publishing}, series = {Lecture Notes in Computer Science}, }

Shaffer, Eric, Cheng, Zuofu, Yeh, Raine, Zagaris, George, Olson, Luke, Efficient GPUbased Optimization of Volume Meshes, Accelerating Computational Science and Engineering (CSE), IOS Press, 25 (2014).
BibTeX DOI: 10.3233/9781614993810285@inproceedings{2014_Shetal_gpuvolumemesh, author = {Shaffer, Eric and Cheng, Zuofu and Yeh, Raine and Zagaris, George and Olson, Luke}, title = {Efficient GPUbased 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 = {285294}, publisher = {IOS Press}, series = {Advances in Parallel Computing}, }

Chaudhry, J., Cyr, E., Liu, K., Manteuffel, T., Olson, L., Tang, L., Enhancing LeastSquares Finite Element Methods Through a QuantityofInterest, SIAM Journal on Numerical Analysis, 52 (2014), 30853105.
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 LeastSquares Finite Element Methods Through a QuantityofInterest}, journal = {SIAM Journal on Numerical Analysis}, year = {2014}, volume = {52}, number = {6}, pages = {30853105}, }

MacLachlan, Scott P., Olson, Luke N., Theoretical bounds for algebraic multigrid performance: review and analysis, Numerical Linear Algebra with Applications, 21 (2014), 194220.
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 = {194220}, }

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 WinnerTakeAll 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 WinnerTakeAll 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 PoissonNernstPlanck equations
to determine ion flow though a nanopore, Communications in Computational Physics, 15 (2014), 93125.
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 = {93125}, }

Bochev, Pavel, Lai, James, Olson, Luke, A nonconforming leastsquares finite element method for incompressible fluid flow problems, International Journal for Numerical Methods in Fluids, 2012, 375402.
BibTeX PDF DOI: 10.1002/fld.3748@article{2012_BoLaOl_disclsv, author = {Bochev, Pavel and Lai, James and Olson, Luke}, title = {A nonconforming leastsquares finite element method for incompressible fluid flow problems}, journal = {International Journal for Numerical Methods in Fluids}, year = {2012}, pages = {375402}, publisher = {John Wiley \& Sons, Ltd}, }

Bell, N., Dalton, S., Olson, L., Exposing FineGrained Parallelism in Algebraic Multigrid Methods, SIAM Journal on Scientific Computing, 34 (2012), C123C152.
BibTeX PDF DOI: 10.1137/110838844@article{2012_BeDaOl_amggpu, author = {Bell, N. and Dalton, S. and Olson, L.}, title = {Exposing FineGrained Parallelism in Algebraic Multigrid Methods}, journal = {SIAM Journal on Scientific Computing}, year = {2012}, volume = {34}, number = {4}, pages = {C123C152}, }

Bell, Nathan, Dalton, Steven, Olson, Luke, Exposing FineGrained Parallelism in Algebraic Multigrid Methods, NVR2011002, NVIDIA Corporation, 6, 2011.
BibTeX PDF URL@techreport{2011_BeDaOl_amggpu_tr, author = {Bell, Nathan and Dalton, Steven and Olson, Luke}, title = {Exposing FineGrained Parallelism in Algebraic Multigrid Methods}, year = {2011}, institution = {{NVIDIA} Corporation}, month = {6}, number = {NVR2011002}, }

Chaudhry, Jehanzeb Hameed, Bond, Stephen D., Olson, Luke N., A weighted adaptive leastsquares finite element method for the PoissonBoltzmann equation, Applied Mathematics and Computation, 218 (2012), 48924902.
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 leastsquares finite element method for the PoissonBoltzmann equation}, journal = {Applied Mathematics and Computation}, year = {2012}, volume = {218}, number = {9}, pages = {48924902}, }

Lai, James H., Olson, Luke N., Algebraic Multigrid for HighOrder Hierarchical H(curl) Finite Elements, SIAM Journal on Scientific Computing, 33 (2011), 28882902.
BibTeX PDF DOI: 10.1137/100799095 URL@article{2011_LaOl_hierhocurl, author = {Lai, James H. and Olson, Luke N.}, title = {Algebraic Multigrid for HighOrder Hierarchical $H(curl)$ Finite Elements}, journal = {SIAM Journal on Scientific Computing}, year = {2011}, volume = {33}, number = {5}, pages = {28882902}, 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 highorder discontinuous Galerkin methods for elliptic problems, Journal of Computational Physics, 230 (2011), 69596976.
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 highorder discontinuous Galerkin methods for elliptic problems}, journal = {Journal of Computational Physics}, year = {2011}, volume = {230}, number = {18}, pages = {69596976}, }

Olson, Luke, Langtangen, Hans Petter, Woodward, Carol S., CSE 2011: SIAG/CSE Holds Milestone Meeting in Reno, SIAM News, 44 (2011).
BibTeX 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 Reno}, 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), 966991.
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 = {966991}, publisher = {SIAM}, }

Bochev, Pavel, Lai, James, Olson, Luke, A locally conservative, discontinuous leastsquares 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 leastsquares finite element method for the Stokes 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 Stokes 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 finitesize modified PoissonBoltzmann equation, Journal of Scientific Computing, 47 (2010), 347364.
BibTeX PDF DOI: 10.1007/s1091501094417@article{2010_ChBoOl_mpbe, author = {Chaudhry, Jehanzeb and Bond, Stephen and Olson, Luke}, title = {Finite element approximation to a finitesize modified {P}oisson{B}oltzmann equation}, journal = {Journal of Scientific Computing}, year = {2010}, volume = {47}, pages = {347364}, 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), 37263744.
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 = {37263744}, }

Olson, Luke N., Schroder, Jacob B., Smoothed aggregation for Helmholtz problems, Numerical Linear Algebra with Applications, 17 (2010), 361386.
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 = {23}, pages = {361386}, publisher = {John Wiley \& Sons, Ltd.}, }

Alber, D.M., Olson, L.N., Coarsening Invariance and BucketSorted Independent Sets for Algebraic Multigrid, Electronic Transactions on Numerical Analysis, 37 (2010), 367385.
BibTeX PDF URL@article{2010_AlOl_bsis, author = {Alber, D.M. and Olson, L.N.}, title = {Coarsening Invariance and BucketSorted Independent Sets for Algebraic Multigrid}, journal = {Electronic Transactions on Numerical Analysis}, year = {2010}, volume = {37}, pages = {367385}, }

Bond, Stephen D., Chaudhry, Jehanzeb Hameed, Cyr, Eric C., Olson, Luke N., A FirstOrder Systems LeastSquares Finite Element Method for the PoissonBoltzmann Equation, Journal of Computational Chemistry, 31 (2010), 16251635.
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 FirstOrder Systems LeastSquares Finite Element Method for the {P}oisson{B}oltzmann Equation}, journal = {Journal of Computational Chemistry}, year = {2010}, volume = {31}, number = {8}, pages = {16251635}, 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), 713733.
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 = {713733}, 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 kform Laplacians, Numerical Linear Algebra with Applications, 15 (2008), 165185.
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 = {23}, pages = {165185}, }

Lin, Xi, Olson, Luke, Jin, Jianming, An interpolatory spectral element method using curlconforming 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 = {50955098}, }

Alber, David M., Olson, Luke N., Parallel coarsegrid selection, Numerical Linear Algebra with Applications, 14 (2007), 611643.
BibTeX PDF DOI: 10.1002/nla.541@article{2007_AlOl_pcgselect, author = {Alber, David M. and Olson, Luke N.}, title = {Parallel coarsegrid selection}, journal = {Numerical Linear Algebra with Applications}, year = {2007}, volume = {14}, number = {8}, pages = {611643}, }

Olson, Luke, Algebraic multigrid preconditioning of highorder spectral elements for elliptic problems on a simplicial mesh, SIAM J. Sci. Comput., 29 (2007), 21892209.
BibTeX PDF DOI: 10.1137/060663465@article{2007_Olson_hoamgtri, author = {Olson, Luke}, title = {Algebraic multigrid preconditioning of highorder spectral elements for elliptic problems on a simplicial mesh}, journal = {SIAM J. Sci. Comput.}, year = {2007}, volume = {29}, number = {5}, pages = {21892209}, }

Hesthaven, J. S., Olson, L. N., Wilcox, L. C, Developments in Overlapping Schwarz Preconditioning of HighOrder Nodal Discontinuous Galerkin Discretizations, Domain Decomposition Methods in Science and Engineering XVI, Springer Berlin Heidelberg, 55 (2007).
BibTeX PDF DOI: 10.1007/9783540344698_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 HighOrder Nodal Discontinuous {G}alerkin Discretizations}, year = {2007}, booktitle = {Domain Decomposition Methods in Science and Engineering XVI}, volume = {55}, pages = {325332}, 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 higherorder finite elements, J. Comput. Phys., 204 (2005), 520532.
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 higherorder finite elements}, journal = {J. Comput. Phys.}, year = {2005}, volume = {204}, number = {2}, pages = {520532}, }

de Sterck, H., Manteuffel, Thomas A., McCormick, Stephen F., Olson, Luke, Numerical conservation properties of H(\rm div)conforming leastsquares finite element methods for the Burgers equation, SIAM J. Sci. Comput., 26 (2005), 15731597.
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 leastsquares finite element methods for the {B}urgers equation}, journal = {SIAM J. Sci. Comput.}, year = {2005}, volume = {26}, number = {5}, pages = {15731597}, }

de Sterck, H., Manteuffel, Thomas A., McCormick, Stephen F., Olson, Luke, Leastsquares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs, SIAM J. Sci. Comput., 26 (2004), 3154.
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 = {Leastsquares finite element methods and algebraic multigrid solvers for linear hyperbolic {PDE}s}, journal = {SIAM J. Sci. Comput.}, year = {2004}, volume = {26}, number = {1}, pages = {3154}, }

Olson, L. N., A Dual LeastSquares 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 LeastSquares Finite Element Method for Hyperbolic PDEs}, year = {2003}, booktitle = {Eleventh Copper Mountain Conference On Multigrid Methods}, note = {(Best student paper)}, }

Olson, L. N., Multilevel LeastSquares 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 LeastSquares Finite Element Methods for Hyperbolic {PDEs}}, year = {2003}, address = {Department of Applied Mathematics}, school = {University of Colorado at Boulder}, }