Summary
Research Focus:
 Multigrid methods
 Sparse matrix computations
 Finite element methods
 High performance computing
 Scalable solvers on GPUs, largescale systems
Jump to:
Students
Natalie Beams
Nbody methods, finite elements, multigridAmanda Bienz
reducing communication in sparse solvers, HPC, multigridJon Calhoun
fault detection and recovery in numerical algorithms, multigridScott High
particleincell methods, scalable algorithmsPete Sentz
finite elements, reduced order modelingAndrew Reisner
structured solvers, electric field computationsFormer Students

Steven Dalton,
PhD, 2014
 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
Publications

Manteuffel, Thomas A., Olson, Luke N., Schroder, Jacob B., Southworth, Ben S., A RootNode Based Algebraic Multigrid Method, SIAM Journal on Scientific Computing, 2016, in review.
BibTeX@article{2016_MaOlScSo_rootnode, author = {Manteuffel, Thomas A. and Olson, Luke N. and Schroder, Jacob B. and Southworth, Ben S.}, title = {A RootNode Based Algebraic Multigrid Method}, journal = {SIAM Journal on Scientific Computing}, year = {2016}, note = {in review}, }

Dalton, Steven, Olson, Luke N., Merrill, Duane, Garland, Michael, Graph Partitioning on the GPU, PARCO15, IOS Press, 2015, in review.
BibTeX@inproceedings{2015_DaOlMiGa_partition, author = {Dalton, Steven and Olson, Luke N. and Merrill, Duane and Garland, Michael}, title = {Graph Partitioning on the GPU}, year = {2015}, booktitle = {{PARCO}15}, note = {in review}, publisher = {{IOS} Press}, }

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., Encyclopedia of Applied and Computational Mathematics, Algebraic Multigrid Methods, Springer Berlin Heidelberg, 2015.
BibTeX PDF DOI: 10.1007/9783540705291@inbook{2015_Ol_encamg, author = {Olson, Luke N.}, title = {Encyclopedia of Applied and Computational Mathematics}, year = {2015}, chapter = {Algebraic Multigrid Methods}, editor = {Bj\"orn Engquist}, pages = {977981}, publisher = {Springer Berlin Heidelberg}, }

Olson, Luke N., Encyclopedia of Applied and Computational Mathematics, Geometric Multigrid Methods, Springer Berlin Heidelberg, 2015.
BibTeX PDF DOI: 10.1007/9783540705291@inbook{2015_Ol_encmg, author = {Olson, Luke N.}, title = {Encyclopedia of Applied and Computational Mathematics}, year = {2015}, chapter = {Geometric Multigrid Methods}, 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 = {Sept}, 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@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 = {May}, 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 = {January}, }

Dalton, Steven, Olson, Luke, Bell, Nathan, Optimizing Sparse MatrixMatrix Multiplication for the GPU, ACM Transactions on Mathematical Software, 41 (2015).
BibTeX PDF@article{2015_BeDaOl_SPMM, author = {Dalton, Steven and Olson, Luke and Bell, Nathan}, title = {Optimizing Sparse MatrixMatrix Multiplication for the {GPU}}, journal = {{ACM} Transactions on Mathematical Software}, year = {2015}, volume = {41}, number = {4}, }

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 = {May}, 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@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 = {01}, 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, June, 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 = {June}, 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 = {July 1014}, }

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 = {June}, 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 = {December}, }

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 = {December}, }

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 = {June}, 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}, }