2026 Raymond S. Tuminaro: Engineering and Technology Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Engineering and Technology	36	8610	8302	2386	2213	170	6624

Overview

Raymond S. Tuminaro is affiliated with Sandia National Laboratories in the United States. Their research focuses on areas within computer science and engineering, particularly in computational mechanics, computational theory and mathematics, numerical analysis, and artificial intelligence.

Their work covers a range of topics, including:

Advanced Numerical Methods in Computational Mathematics
Matrix Theory and Algorithms
Numerical methods for differential equations
Parallel Computing and Optimization Techniques
Neural Networks and Applications
Advanced Mathematical Modeling in Engineering
Computational Fluid Dynamics and Aerodynamics

Among their recent publications are:

Smoothed aggregation for difficult stretched mesh and coefficient variation problems, 2022, Numerical Linear Algebra with Applications
A monolithic algebraic multigrid framework for multiphysics applications with examples from resistive MHD, 2022, ETNA - Electronic Transactions on Numerical Analysis
Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations, 2025, SIAM Journal on Scientific Computing
Graph Neural Networks and Applied Linear Algebra, 2025, SIAM Review
An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations, 2020, SIAM Journal on Matrix Analysis and Applications

Frequent coauthors include:

Christopher Siefert
Jonathan Joseph Hu
Scott MacLachlan
Luke N. Olson
Eric C. Cyr

Tuminaro publishes regularly in several venues, with notable contributions in:

arXiv (Cornell University)
SIAM Journal on Scientific Computing
Zenodo (CERN European Organization for Nuclear Research)
Numerical Linear Algebra with Applications
ETNA - Electronic Transactions on Numerical Analysis

Best Publications

An overview of the Trilinos project

Michael A. Heroux;Roscoe A. Bartlett;Vicki E. Howle;Robert J. Hoekstra

1451
Citations
An overview of Trilinos.

Kevin R. Long;Raymond Stephen Tuminaro;Roscoe Ainsworth Bartlett;Robert John Hoekstra

496
Citations
ML 5.0 Smoothed Aggregation User's Guide

Michael W. Gee;Christopher M. Siefert;Jonathan J. Hu;Ray S. Tuminaro

440
Citations
Parallel multigrid smoothing: polynomial versus Gauss--Seidel

Mark Adams;Marian Brezina;Jonathan Hu;Ray Tuminaro

281
Citations
Block Preconditioners Based on Approximate Commutators

Howard Elman;Victoria E. Howle;John Shadid;Robert Shuttleworth

264
Citations
A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations

Howard Elman;V.E. Howle;John Shadid;Robert Shuttleworth

215
Citations
ML 3.1 smoothed aggregation user's guide.

Marzio Sala;Jonathan Joseph Hu;Raymond Stephen Tuminaro

198
Citations
PRESERVING LAGRANGIAN STRUCTURE IN NONLINEAR MODEL REDUCTION WITH APPLICATION TO STRUCTURAL DYNAMICS

Kevin Carlberg;Ray S. Tuminaro;Paul T. Boggs

163
Citations
A Survey of Parallelization Techniques for Multigrid Solvers.

Edmond Chow;Robert D. Falgout;Jonathan J. Hu;Raymond S. Tuminaro

160
Citations
Parallel Smoothed Aggregation Multigrid : Aggregation Strategies on Massively Parallel Machines

R.S. Tuminaro;C. Tong

155
Citations
A comparison of eigensolvers for large‐scale 3D modal analysis using AMG‐preconditioned iterative methods

Peter Arbenz;Ulrich L. Hetmaniuk;Richard B. Lehoucq;Raymond S. Tuminaro

142
Citations
Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods

J. N. Shadid;R. P. Pawlowski;J. W. Banks;L. Chacón

124
Citations
An Improved Algebraic Multigrid Method for Solving Maxwell's Equations

Pavel B. Bochev;Christopher J. Garasi;Jonathan J. Hu;Allen C. Robinson

111
Citations
A New Petrov-Galerkin Smoothed Aggregation Preconditioner for Nonsymmetric Linear Systems

Marzio Sala;Raymond S. Tuminaro

108
Citations
An Inexact Newton Method for Fully Coupled Solution of the Navier-Stokes Equations with Heat and Mass Transport

John N. Shadid;Ray S. Tuminaro;Homer F. Walker

106
Citations
ASSESSMENT OF COLLOCATION AND GALERKIN APPROACHES TO LINEAR DIFFUSION EQUATIONS WITH RANDOM DATA

Howard C. Elman;Christopher W. Miller;Eric T. Phipps;Raymond S. Tuminaro

104
Citations
MPAS-Albany Land Ice (MALI): a variable-resolution ice sheet model for Earth system modeling using Voronoi grids

Matthew J. Hoffman;Mauro Perego;Stephen F. Price;William H. Lipscomb;William H. Lipscomb

103
Citations
Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton–Krylov-AMG

John N. Shadid;John N. Shadid;Roger P. Pawlowski;Eric C Cyr;Raymond S. Tuminaro

88
Citations
Albany/FELIX : a parallel, scalable and robust, finite element, first-order Stokes approximation ice sheet solver built for advanced analysis

I. K. Tezaur;M. Perego;A. G. Salinger;R. S. Tuminaro

86
Citations
A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations

Howard C. Elman;Victoria E. Howle;John N. Shadid;Ray S. Tuminaro

83
Citations
Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations

Howard Elman;Victoria E. Howle;John Shadid;David Silvester

83
Citations