Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs. - Hans De Sterck; Thomas A. Manteuffel; Stephen F. McCormick; Luke N. Olson (SIAM J. Sci. Comput., 2004)

Numerical Conservation Properties of H(div)-Conforming Least-Squares Finite Element Methods for the Burgers Equation. - Hans De Sterck; Thomas A. Manteuffel; Stephen F. McCormick; Luke N. Olson (SIAM J. Sci. Comput., 2005)

Parallel coarse-grid selection. - David M. Alber; Luke N. Olson (Numer. Linear Algebra Appl., 2007)

Algebraic Multigrid Preconditioning of High-Order Spectral Elements for Elliptic Problems on a Simplicial Mesh. - Luke N. Olson (SIAM J. Sci. Comput., 2007)

Algebraic multigrid for k-form Laplacians. - Nathan Bell; Luke N. Olson (Numer. Linear Algebra Appl., 2008)

A first-order system least-squares finite element method for the Poisson-Boltzmann equation. - Stephen D. Bond; Jehanzeb Hameed Chaudhry; Eric C. Cyr; Luke N. Olson (J. Comput. Chem., 2010)

A spectral boundary integral method for flowing blood cells. - Hong Zhao; Amir H. G. Isfahani; Luke N. Olson; Jonathan B. Freund (J. Comput. Phys., 2010)

Smoothed aggregation for Helmholtz problems. - Luke N. Olson; Jacob B. Schroder (Numer. Linear Algebra Appl., 2010)

A new perspective on strength measures in algebraic multigrid. - Luke N. Olson; Jacob B. Schroder; Raymond S. Tuminaro (Numer. Linear Algebra Appl., 2010)

Smoothed aggregation multigrid solvers for high-order discontinuous Galerkin methods for elliptic problems. - Luke N. Olson; Jacob B. Schroder (J. Comput. Phys., 2011)

Finite Element Approximation to a Finite-Size Modified Poisson-Boltzmann Equation. - Jehanzeb Hameed Chaudhry; Stephen D. Bond; Luke N. Olson (J. Sci. Comput., 2011)

Algebraic Multigrid for High-Order Hierarchical H(curl) Finite Elements. - James H. Lai; Luke N. Olson (SIAM J. Sci. Comput., 2011)

A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization. - Luke N. Olson; Jacob B. Schroder; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2011)

A weighted adaptive least-squares finite element method for the Poisson-Boltzmann equation. - Jehanzeb Hameed Chaudhry; Stephen D. Bond; Luke N. Olson (Appl. Math. Comput., 2012)

Exposing Fine-Grained Parallelism in Algebraic Multigrid Methods. - Nathan Bell; Steven Dalton; Luke N. Olson (SIAM J. Sci. Comput., 2012)

Efficient GPU-based Optimization of Volume Meshes. - Eric Shaffer; Zuofu Cheng; Raine Yeh; George Zagaris; Luke N. Olson (PARCO, 2013)

FlipIt: An LLVM Based Fault Injector for HPC. - Jon Calhoun 001; Luke N. Olson; Marc Snir (Euro-Par Workshops (1), 2014)

Theoretical bounds for algebraic multigrid performance: review and analysis. - Scott P. MacLachlan; Luke N. Olson (Numer. Linear Algebra Appl., 2014)

Enhancing Least-Squares Finite Element Methods Through a Quantity-of-Interest. - Jehanzeb Hameed Chaudhry; Eric C. Cyr; Kuo Liu; Thomas A. Manteuffel; Luke N. Olson; Lei Tang (SIAM J. Numer. Anal., 2014)

Understanding the Propagation of Error Due to a Silent Data Corruption in a Sparse Matrix Vector Multiply. - Jon Calhoun 001; Marc Snir; Luke N. Olson; María Jesús Garzarán (CLUSTER, 2015)

Optimizing Sparse Matrix Operations on GPUs Using Merge Path. - Steven Dalton; Sean Baxter; Duane Merrill; Luke N. Olson; Michael Garland (IPDPS, 2015)

Towards a more fault resilient multigrid solver. - Jon Calhoun 001; Luke N. Olson; Marc Snir; William D. Gropp (SpringSim (HPS), 2015)

A Finite Element Based P3M Method for N-body Problems. - Natalie N. Beams; Luke N. Olson; Jonathan B. Freund (CoRR, 2015)

Optimizing Sparse Matrix - Matrix Multiplication for the GPU. - Steven Dalton; Luke N. Olson; Nathan Bell (ACM Trans. Math. Softw., 2015)

IPAS: intelligent protection against silent output corruption in scientific applications. - Ignacio Laguna; Martin Schulz 001; David F. Richards; Jon Calhoun 001; Luke N. Olson (CGO, 2016)

Modeling MPI Communication Performance on SMP Nodes: Is it Time to Retire the Ping Pong Test. - William Gropp; Luke N. Olson; Philipp Samfass (EuroMPI, 2016)

TAPSpMV: Topology-Aware Parallel Sparse Matrix Vector Multiplication. - Amanda Bienz; William D. Gropp; Luke N. Olson (CoRR, 2016)

A hybrid format for better performance of sparse matrix-vector multiplication on a GPU. - Dahai Guo; William Gropp; Luke N. Olson (Int. J. High Perform. Comput. Appl., 2016)

A Finite Element Based P3M Method for N-Body Problems. - Natalie N. Beams; Luke N. Olson; Jonathan B. Freund (SIAM J. Sci. Comput., 2016)

Reducing Parallel Communication in Algebraic Multigrid through Sparsification. - Amanda Bienz; Robert D. Falgout; William Gropp; Luke N. Olson; Jacob B. Schroder (SIAM J. Sci. Comput., 2016)

Towards a More Complete Understanding of SDC Propagation. - Jon Calhoun 001; Marc Snir; Luke N. Olson; William D. Gropp (HPDC, 2017)

Efficient parallel optimization of volume meshes on heterogeneous computing systems. - Zuofu Cheng; Eric Shaffer; Raine Yeh; George Zagaris; Luke N. Olson (Eng. Comput., 2017)

A Root-Node-Based Algebraic Multigrid Method. - Thomas A. Manteuffel; Luke N. Olson; Jacob B. Schroder; Ben S. Southworth (SIAM J. Sci. Comput., 2017)

Improving Performance Models for Irregular Point-to-Point Communication. - Amanda Bienz; William D. Gropp; Luke N. Olson (EuroMPI, 2018)

High-order finite element-integral equation coupling on embedded meshes. - Natalie N. Beams; Andreas Klöckner; Luke N. Olson (J. Comput. Phys., 2018)

Scaling Structured Multigrid to 500K+ Cores Through Coarse-Grid Redistribution. - Andrew Reisner; Luke N. Olson; J. David Moulton (SIAM J. Sci. Comput., 2018)

Learning with Analytical Models. - Huda Ibeid; Siping Meng; Oliver Dobon; Luke N. Olson; William Gropp (IPDPS Workshops, 2019)

FaultSight: A Fault Analysis Tool for HPC Researchers. - Einar Horn; Dakota Fulp; Jon Calhoun 001; Luke N. Olson (FTXS@SC, 2019)

Node-Aware Improvements to Allreduce. - Amanda Bienz; Luke N. Olson; William D. Gropp (CoRR, 2019)

Exploring the feasibility of lossy compression for PDE simulations. - Jon C. Calhoun; Franck Cappello; Luke N. Olson; Marc Snir; William D. Gropp (Int. J. High Perform. Comput. Appl., 2019)

A massively scalable distributed multigrid framework for nonlinear marine hydrodynamics. - Stefan Lemvig Glimberg; Allan Peter Engsig-Karup; Luke N. Olson (Int. J. High Perform. Comput. Appl., 2019)

Node aware sparse matrix-vector multiplication. - Amanda Bienz; William D. Gropp; Luke N. Olson (J. Parallel Distributed Comput., 2019)

Reducing communication in algebraic multigrid with multi-step node aware communication. - Amanda Bienz; William D. Gropp; Luke N. Olson (Int. J. High Perform. Comput. Appl., 2020)

FFT, FMM, and multigrid on the road to exascale: Performance challenges and opportunities. - Huda Ibeid; Luke N. Olson; William Gropp (J. Parallel Distributed Comput., 2020)

Scalable line and plane relaxation in a parallel structured multigrid solver. - Andrew Reisner; Markus Berndt; J. David Moulton; Luke N. Olson (Parallel Comput., 2020)

Modeling Data Movement Performance on Heterogeneous Architectures. - Amanda Bienz; Luke N. Olson; William D. Gropp; Shelby Lockhart (HPEC, 2021)

Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning. - Ali Taghibakhshi; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (NeurIPS, 2021)

Reduced Basis Approximations of Parameterized Dynamical Partial Differential Equations via Neural Networks. - Peter Sentz; Kristian Beckwith; Eric C. Cyr; Luke N. Olson; Ravi G. Patel (CoRR, 2021)

A Least-Squares Finite Element Reduced Basis Method. - Jehanzeb H. Chaudhry; Luke N. Olson; Peter Sentz (SIAM J. Sci. Comput., 2021)

Learning Interface Conditions in Domain Decomposition Solvers. - Ali Taghibakhshi; Nicolas Nytko; Tareq Uz Zaman; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (NeurIPS, 2022)

Performance of Low Synchronization Orthogonalization Methods in Anderson Accelerated Fixed Point Solvers. - Shelby Lockhart; David J. Gardner; Carol S. Woodward; Stephen Thomas; Luke N. Olson (PP, 2022)

On Computing Coercivity Constants in Linear Variational Problems Through Eigenvalue Analysis. - Peter Sentz; Jehanzeb Hameed Chaudhry; Luke N. Olson (CoRR, 2022)

Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation. - Nicolas Nytko; Ali Taghibakhshi; Tareq-Uz-Zaman; Scott P. MacLachlan; Luke N. Olson; Matt West 001 (CoRR, 2022)

PyAMG: Algebraic Multigrid Solvers in Python. - Nathan Bell; Luke N. Olson; Jacob B. Schroder (J. Open Source Softw., 2022)

Low-order preconditioning of the Stokes equations. - Alexey Voronin; Yunhui He; Scott P. MacLachlan; Luke N. Olson; Raymond S. Tuminaro (Numer. Linear Algebra Appl., 2022)

Tausch: A halo exchange library for large heterogeneous computing systems using MPI, OpenCL, and CUDA. - Lukas Spies; Amanda Bienz; J. David Moulton; Luke N. Olson; Andrew Reisner (Parallel Comput., 2022)

MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods. - Ali Taghibakhshi; Nicolas Nytko; Tareq Uz Zaman; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (ICML, 2023)

Coarse-grid selection using simulated annealing. - Tareq Uz Zaman; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (J. Comput. Appl. Math., 2023)

PyAMG: Algebraic Multigrid Solvers in Python. - Nathan Bell; Luke N. Olson; Jacob B. Schroder; Ben S. Southworth (J. Open Source Softw., 2023)

Characterizing the performance of node-aware strategies for irregular point-to-point communication on heterogeneous architectures. - Shelby Lockhart; Amanda Bienz; William D. Gropp; Luke N. Olson (Parallel Comput., 2023)

Performance Analysis and Optimal Node-aware Communication for Enlarged Conjugate Gradient Methods. - Shelby Lockhart; Amanda Bienz; William Gropp; Luke N. Olson (ACM Trans. Parallel Comput., 2023)

Parallel Energy-Minimization Prolongation for Algebraic Multigrid. - Carlo Janna; Andrea Franceschini; Jacob B. Schroder; Luke N. Olson (SIAM J. Sci. Comput., 2023)

Learning from Integral Losses in Physics Informed Neural Networks. - Ehsan Saleh; Saba Ghaffari; Timothy Bretl; Luke N. Olson; Matthew West 001 (ICML, 2024)

Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations. - Alexey Voronin; Graham Harper; Scott P. MacLachlan; Luke N. Olson; Raymond S. Tuminaro (CoRR, 2024)

Generalizing Lloyd's Algorithm for Graph Clustering. - Tareq Uz Zaman; Nicolas Nytko; Ali Taghibakhshi; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (SIAM J. Sci. Comput., 2024)

Generalizing reduction-based algebraic multigrid. - Tareq Uz Zaman; Nicolas Nytko; Ali Taghibakhshi; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (Numer. Linear Algebra Appl., 2024)

Exploiting mesh structure to improve multigrid performance for saddle-point problems. - Lukas Spies; Luke N. Olson; Scott P. MacLachlan (Int. J. High Perform. Comput. Appl., 2025)

A TVD neural network closure and application to turbulent combustion. - Seung Won Suh; Jonathan F. MacArt; Luke N. Olson; Jonathan B. Freund (J. Comput. Phys., 2025)

Corrigendum to "A TVD neural network closure and application to turbulent combustion" [Journal of Computational Physics 523 (2025)/113638]. - Seung Won Suh; Jonathan F. MacArt; Luke N. Olson; Jonathan B. Freund (J. Comput. Phys., 2025)

Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations. - Alexey Voronin; Scott P. MacLachlan; Luke N. Olson; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2025)

Teaching An Old Dog New Tricks: Porting Legacy Code to Heterogeneous Compute Architectures With Automated Code Translation. - Nicolas Nytko; Andrew Reisner; J. David Moulton; Luke N. Olson; Matthew West 001 (CoRR, 2025)