Flo52 on Hypercubes: Performance and Modelling of a Multigrid Euler Code. - Eric Barszcz; Tony F. Chan; Dennis C. Jespersen; Raymond S. Tuminaro (Int. J. High Speed Comput., 1989)

Iterative Methods for Nonsymmetric Systems on MIMD Machines. - John N. Shadid; Ray S. Tuminaro (PP, 1991)

Sparse iterative algorithm software for large-scale MIMD machines: An initial discussion and implementation. - John N. Shadid; Ray S. Tuminaro (Concurr. Pract. Exp., 1992)

A Highly Parallel Multigrid-Like Method for the Solution of the Euler Equations. - Ray S. Tuminaro (SIAM J. Sci. Comput., 1992)

Domain Decomposition Algorithms for the Drift-Diffusion Equations. - Luc Giraud; Ray S. Tuminaro (PPSC, 1993)

Analysis of the Multigrid FMV Cycle on Large-Scale Parallel Machines. - Ray S. Tuminaro; David E. Womble (SIAM J. Sci. Comput., 1993)

A Comparison of Preconditioned Nonsymmetric Krylov Methods on a Large-Scale MIMD Machine. - John N. Shadid; Ray S. Tuminaro (SIAM J. Sci. Comput., 1994)

A Multigrid Preconditioner for the Semiconductor Equations. - Juan C. Meza; Ray S. Tuminaro (SIAM J. Sci. Comput., 1996)

High Performance MP Unstructured Finite Element Simulation of Chemically Reacting Flows. - Karen D. Devine; Gary L. Hennigan; Scott A. Hutchinson; Andrew G. Salinger; John N. Shadid; Ray S. Tuminaro (SC, 1997)

Parallel sparse matrix vector multiply software for matrices with data locality. - Ray S. Tuminaro; John N. Shadid; Scott A. Hutchinson (Concurr. Pract. Exp., 1998)

Parallel Smoothed Aggregation Multigrid: Aggregation Strategies on Massively Parallel Machines. - Ray S. Tuminaro; Charles Tong (SC, 2000)

Fast, Adaptively Refined Computational Elements in 3D. - Craig C. Douglas; Jonathan J. Hu; Jaideep Ray; Danny Thorne; Ray S. Tuminaro (International Conference on Computational Science (3), 2002)

Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. - Luc Giraud; Fernando Guevara Vasquez; Ray S. Tuminaro (Numer. Linear Algebra Appl., 2003)

An Improved Algebraic Multigrid Method for Solving Maxwell's Equations. - Pavel B. Bochev; Christopher J. Garasi; Jonathan J. Hu; Allen C. Robinson; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2003)

Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies. - Craig C. Douglas; Jonathan J. Hu; Jaideep Ray; Danny Thorne; Ray S. Tuminaro (Numer. Linear Algebra Appl., 2004)

An Improved Convergence Bound for Aggregation-Based Domain Decomposition Preconditioners. - Marzio Sala; John N. Shadid; Ray S. Tuminaro (SIAM J. Matrix Anal. Appl., 2005)

An overview of the Trilinos project. - Michael A. Heroux; Roscoe A. Bartlett; Vicki E. Howle; Robert J. Hoekstra; Jonathan J. Hu; Tamara G. Kolda; Richard B. Lehoucq; Kevin R. Long; Roger P. Pawlowski; Eric T. Phipps; Andrew G. Salinger; Heidi Thornquist; et al. (ACM Trans. Math. Softw., 2005)

A Survey of Parallelization Techniques for Multigrid Solvers. - Edmond Chow; Robert D. Falgout; Jonathan J. Hu; Raymond S. Tuminaro; Ulrike Meier Yang (Parallel Processing for Scientific Computing, 2006)

Block Preconditioners Based on Approximate Commutators. - Howard C. Elman; Victoria E. Howle; John N. Shadid; Robert Shuttleworth; Ray S. Tuminaro (SIAM J. Sci. Comput., 2006)

Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations. - Jonathan J. Hu; Ray S. Tuminaro; Pavel B. Bochev; Christopher J. Garasi; Allen C. Robinson (SIAM J. Sci. Comput., 2006)

Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations. - Howard C. Elman; Victoria E. Howle; John N. Shadid; David J. Silvester; Ray S. Tuminaro (SIAM J. Sci. Comput., 2007)

A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. - Howard C. Elman; Victoria E. Howle; John N. Shadid; Robert Shuttleworth; Ray Tuminaro (J. Comput. Phys., 2008)

An Algebraic Multigrid Approach Based on a Compatible Gauge Reformulation of Maxwell's Equations. - Pavel B. Bochev; Jonathan J. Hu; Christopher M. Siefert; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2008)

A New Petrov–Galerkin Smoothed Aggregation Preconditioner for Nonsymmetric Linear Systems. - Marzio Sala; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2008)

Performance of a parallel algebraic multilevel preconditioner for stabilized finite element semiconductor device modeling. - Paul T. Lin; John N. Shadid; Marzio Sala; Raymond S. Tuminaro; Gary L. Hennigan; Robert J. Hoekstra (J. Comput. Phys., 2009)

A new smoothed aggregation multigrid method for anisotropic problems. - Michael W. Gee; Jonathan J. Hu; Raymond S. Tuminaro (Numer. Linear Algebra Appl., 2009)

Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. - John N. Shadid; Roger P. Pawlowski; Jeffrey W. Banks; Luis Chacón; Paul T. Lin; Raymond S. Tuminaro (J. Comput. Phys., 2010)

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

Special Issue: 2008 Copper Mountain Conference. - Ray S. Tuminaro (SIAM J. Sci. Comput., 2010)

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

Special Section: 2010 Copper Mountain Conference. - Ray Tuminaro; Michele Benzi; Xiao-Chuan Cai; Iain Duff; Howard C. Elman; Roland Freund; Kirk E. Jordan; Tim Kelley; David E. Keyes; Misha Elena Kilmer; Sven Leyffer; Tom Manteuffel; et al. (SIAM J. Sci. Comput., 2011)

Algebraic Multigrid. - Marian Brezina; Jonathan J. Hu; Ray S. Tuminaro (Encyclopedia of Parallel Computing, 2011)

Stabilization and scalable block preconditioning for the Navier-Stokes equations. - Eric C. Cyr; John N. Shadid; Raymond S. Tuminaro (J. Comput. Phys., 2012)

A Quasi-algebraic Multigrid Approach to Fracture Problems Based on Extended Finite Elements. - Badri Hiriyur; Ray S. Tuminaro; Haim Waisman; Erik G. Boman; David E. Keyes (SIAM J. Sci. Comput., 2012)

Design considerations for a flexible multigrid preconditioning library. - Jérémie Gaidamour; Jonathan J. Hu; Christopher M. Siefert; Ray S. Tuminaro (Sci. Program., 2012)

Research Spotlights. - Ray Tuminaro (SIAM Rev., 2013)

A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD. - Eric C. Cyr; John N. Shadid; Raymond S. Tuminaro; Roger P. Pawlowski; Luis Chacón (SIAM J. Sci. Comput., 2013)

Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections. - Tobias A. Wiesner; Raymond S. Tuminaro; Wolfgang A. Wall; Michael W. Gee (Numer. Linear Algebra Appl., 2014)

On the Scalability of the Albany/FELIX first-order Stokes Approximation ice Sheet Solver for Large-Scale Simulations of the Greenland and Antarctic ice Sheets. - Irina K. Tezaur; Raymond S. Tuminaro; Mauro Perego; Andrew G. Salinger; Stephen F. Price (ICCS, 2015)

Augmented AMG-shifted Laplacian preconditioners for indefinite Helmholtz problems. - P. Tsuji; Ray Tuminaro (Numer. Linear Algebra Appl., 2015)

Preserving Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics. - Kevin Carlberg; Ray S. Tuminaro; Paul T. Boggs (SIAM J. Sci. Comput., 2015)

Krylov-Subspace Recycling via the POD-Augmented Conjugate-Gradient Method. - Kevin Carlberg; Virginia Forstall; Ray Tuminaro (SIAM J. Matrix Anal. Appl., 2016)

Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics. - James H. Adler; Thomas R. Benson; Eric C. Cyr; Scott P. MacLachlan; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2016)

Teko: A Block Preconditioning Capability with Concrete Example Applications in Navier-Stokes and MHD. - Eric C. Cyr; John N. Shadid; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2016)

A Matrix Dependent/Algebraic Multigrid Approach for Extruded Meshes with Applications to Ice Sheet Modeling. - Ray S. Tuminaro; Mauro Perego; Irina K. Tezaur; Andrew G. Salinger; Stephen F. Price (SIAM J. Sci. Comput., 2016)

An algebraic multigrid method for Q2-Q1 mixed discretizations of the Navier-Stokes equations. - Andrey Prokopenko; Raymond S. Tuminaro (Numer. Linear Algebra Appl., 2017)

High resolution viscous fingering simulation in miscible displacement using a p-adaptive discontinuous Galerkin method with algebraic multigrid preconditioner. - G. Becker; Christopher M. Siefert; Ray S. Tuminaro; H. Sun; D. M. Valiveti; A. Mohan; Jichao Yin; Hao Huang (J. Comput. Phys., 2018)

A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling. - Chao Chen 008; Léopold Cambier; Erik G. Boman; Sivasankaran Rajamanickam; Raymond S. Tuminaro; Eric Darve (J. Comput. Phys., 2019)

Monolithic Multigrid for Magnetohydrodynamics. - J. H. Adler; Thomas R. Benson; Eric C. Cyr; Patrick E. Farrell; Scott P. MacLachlan; Ray S. Tuminaro (CoRR, 2020)

An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations. - Léopold Cambier; Chao Chen 008; Erik G. Boman; Sivasankaran Rajamanickam; Raymond S. Tuminaro; Eric Darve (SIAM J. Matrix Anal. Appl., 2020)

A Monolithic Algebraic Multigrid Framework for Multiphysics Applications with Examples from Resistive MHD. - Peter Ohm; Tobias A. Wiesner; Eric C. Cyr; Jonathan J. Hu; John N. Shadid; Raymond S. Tuminaro (CoRR, 2021)

Smooth Aggregation for Difficult Stretched Mesh and Coefficient Variation Problems. - Jonathan J. Hu; Christopher M. Siefert; Raymond S. Tuminaro (CoRR, 2021)

Non-invasive multigrid for semi-structured grids. - Matthias Mayr; Luc Berger-Vergiat; Peter Ohm; Raymond S. Tuminaro (CoRR, 2021)

Monolithic Multigrid Methods for Magnetohydrodynamics. - James H. Adler; Thomas R. Benson; Eric C. Cyr; Patrick E. Farrell; Scott P. MacLachlan; Ray S. Tuminaro (SIAM J. Sci. Comput., 2021)

KKT Preconditioners for PDE-Constrained Optimization with the Helmholtz Equation. - Drew P. Kouri; Denis Ridzal; Ray Tuminaro (SIAM J. Sci. Comput., 2021)

Smoothed aggregation for difficult stretched mesh and coefficient variation problems. - Jonathan J. Hu; Christopher M. Siefert; Raymond S. Tuminaro (Numer. Linear Algebra Appl., 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)

NonInvasive Multigrid For SemiStructured Grids. - Matthias Mayr; Luc Berger-Vergiat; Peter Ohm; Ray S. Tuminaro (SIAM J. Sci. Comput., 2022)

Compression and Reduced Representation Techniques for Patch-Based Relaxation. - Graham Harper; Ray Tuminaro (CoRR, 2023)

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)

An implicit barotropic mode solver for MPAS-ocean using a modern Fortran solver interface. - Hyun-Gyu Kang; Raymond S. Tuminaro; Andrey Prokopenko; Seth R. Johnson; Andrew G. Salinger; Katherine J. Evans (Int. J. High Perform. Comput. Appl., 2024)

Scalable Multiphysics Block Preconditioning for Low Mach Number Compressible Resistive MHD with Application to Magnetic Confinement Fusion. - Peter Ohm; Jesús Bonilla; Edward G. Phillips; John N. Shadid; Michael M. Crockatt; Ray S. Tuminaro; Jonathan J. Hu; Xian-Zhu Tang (SIAM J. Sci. Comput., 2024)

Graph Neural Networks and Applied Linear Algebra. - Nicholas S. Moore; Eric C. Cyr; Peter Ohm; Christopher M. Siefert; Raymond S. Tuminaro (SIAM Rev., 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)

Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale. - Matthias Mayr; Alexander Heinlein; Christian A. Glusa; Siva Rajamanickam; Maarten Arnst; Roscoe A. Bartlett; Luc Berger-Vergiat; Erik G. Boman; Karen D. Devine; Graham Harper; Michael A. Heroux; Mark Hoemmen; et al. (CoRR, 2025)

A structure preserving H-curl algebraic multigrid method for the eddy current equations. - Raymond S. Tuminaro; Christian A. Glusa (CoRR, 2025)