Center for Computing Research (CCR)

Center for Computing Research

Raymond S. Tuminaro

Raymond S. Tuminaro
Computational Mathematics
Email: rstumin@sandia.gov
Phone: 925/294-2564
Fax: 925/294-2234

Mailing address:
Sandia National Laboratories
PO Box 969, MS 9159
Livermore, CA
94551-0969

I'm interested in parallel iterative methods for linear systems, numerical linear algebra, eigenvalue problems, and parallel numerical software. Special interests in algebraic multigrid (e.g. smoothed aggregation), numerical solution of Maxwell's equations, incompressible Navier-Stokes, and block preconditioning. I have developed the Aztec iterative library as well as the ML multilevel preconditioning package. I am also part of the MueLu development team.

Education/Background

  • Ph.D. Computer Science, Stanford University, Dec. 1989.

               Thesis: Multigrid Algorithms for Parallel Processors. (Advisers: G. Golub & T. Chan)

  • B.S. Computer Science, Cornell University, 1984. 
  • 2017 Gene Golub Summer School Committee
  • 2010, 2012,2014,2016 & 2018 Co-Chair Copper Mountain Conferences on Iterative
  • 2008-2018 (even years) Guest Editor of SIAM Journal on Scientific Computing
  • 2015-2017 Program Committees: Workshop on Avancing X-cutting Ideas for Comp. climate Science, Workshop on Integrated Simulations for Magnetic Fusion Energy, two Preconditioning Conferences
  • 2010 & 2012 Editor-in-Chief of two SIAM Journal on Scientifc Computing special issues
  • 2012-2014 Section Chief of Expository Research Section in SIAM Review
  • 2005-2011 Associated Editor of SIAM Journal on Scientific Computing
  • 2011,2015 Technical Paper Committee for Super Computing 2011  

 

 

 

 

Selected Publications & Presentations

2017
  • Prokopenko, Andrey, Raymond S. Tuminaro, "An algebraic multigrid preconditioner for Q2-Q1 mixed discretizations ," Journal Article, Numer. Linear Algebra Appl., Accepted/Published August 2017.
2016
  • Adler, James, Tom Benson, Eric Christopher Cyr, Scott MacLachlan, Raymond S. Tuminaro, "Monolithic Multigrid Methods for Two- Dimensional Resistive Magnetohydrodynamics ," Journal Article, SIAM SISC, Vol. 38, No. 1, pp. B1–B24, Accepted/Published January 2016.
  • Carlberg, Kevin Thomas, Virginia Forstall, Raymond S. Tuminaro, "Krylov-subspace recycling via the POD- augmented conjugate-gradient method," Journal Article, SIAM Journal on Matrix Analysis, Vol. 37, No. 3, pp. 1304–1336, Accepted/Published January 2016.
  • Eric C, Cyr, C., John N. Shadid, Raymond S. Tuminaro, "Teko: A Block Preconditioning Capability with Concrete Example Applications in Navier-Stokes and MHD," Journal Article, SIAM Journal on Scientific Computing, Accepted/Published December 2016.
  • Price, S, M Hoffman, J Bonin, I. Howat, T. Neumann, J. Saba, Irina Kalashnikova Tezaur, J. Guerber, D. Chambers, K. Evans, Raymond S. Tuminaro, J. Kennedy, W. Lipscomb, Mauro Perego, Andrew G. Salinger, M. van den Broeke, S. Nowicki, "An ice sheet model validation framework for the Greenland ice sheet ," Journal Article, Geo. Mod. Devel. Disc., pp. 1–29, Accepted/Published January 2016.
  • Shadid, John N., Roger P. Pawlowski, Eric Christopher Cyr, Raymond S. Tuminaro, Luis Chacon, Paula D. Weber, "Scalable Implicit Incompressible Resistive MHD with Stabilized FE and Fully-coupled Newton-Krylov-AMG," Journal Article, Comp. Meth. Applied Mech. Eng., Vol. 304, pp. 1–25, Accepted/Published July 2016.
  • Tuminaro, Raymond, Mauro Perego, Irina Tezaur, Andrew Salinger, Stephen Price, "A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling," Journal Article, SIAM J. Sci. Comput., Vol. 38, No. 5, pp. C504–C532, Accepted/Published October 2016.
  • Tuminaro, Raymond S., Paul H. Tsuji, "Augmented AMG-Shifted Laplacian Preconditioners for Indefinite Helmholtz Problems," Journal Article, Numerical Linear Algebra with Applications, Vol. 22, No. 6, pp. 1077–1101, Accepted/Published January 2016.
2015
  • Carlberg, Kevin Thomas, Raymond S. Tuminaro, Paul Boggs, "“Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics” ," Journal Article, SIAM Journal on Scientific Computing, Vol. 37, No. 2, pp. B153–B184, Accepted/Published March 2015.
  • Tezaur, Irina K, Raymond Tuminaro, Mauro Perego, Andrew Salinger, Stephen Price, "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," Journal Article, Procedia Computer Science, Vol. 51, pp. 2026–2035, Accepted/Published June 2015.
  • Tezaur, Irina Kalashnikova, Mauro Perego, Raymond S. Tuminaro, Andrew G. Salinger, S. Price, ""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"," Conference Paper, Numerical and Computational Developments to Advance Multiscale Earth System Models (MSESM)/International Conference on Computational Science (ICCS15), Reykjavik, Iceland , January 2015.
2014
  • Prokopenko, Andrey, Jonathan J. Hu, Tobias A. Wiesner, Christopher Siefert, Raymond S. Tuminaro, "MueLu User’s Guide 1.0 (Trilinos version 11.12) ," SAND Report, October 2014.
  • Siefert, Chris, Raymond S. Tuminaro, Axel Gerstenberger, Guglielmo Scovazzi, Samuel Scott Collis, "Algebraic Multigrid techniques for Discontinuous Galerkin Methods with varying polynomial order," Journal Article, Computational Geosciences, Accepted/Published August 2014.
  • Tezaur, Irina Kalashnikova, Mauro Perego, Andrew G. Salinger, Raymond S. Tuminaro, ""Albany/FELIX: A Parallel, Scalable and Robust Finite Element Higher-Order Stokes Ice Sheet Solver Built for Advanced Analysis"," Journal Article, Geosci. Model Develop. Discuss, Vol. 7, pp. 8079–8149, Accepted/Published November 2014.
  • Wiesner, Tobias A, Raymond S. Tuminaro, Wolfgang A. Wall, Michael W. Gee, "Multigrid Transfers for Nonsymmetric Systems Based on Schur Complements and Galerkin Projections," Journal Article, Numerical Linear Algebra with Applications, Vol. 21, No. 3, pp. 415–438, Accepted/Published May 2014.
2013
  • Cyr, Eric Christopher, John N. Shadid, Raymond S. Tuminaro, Roger P. Pawlowski, Luis Chacon, "A New Approximate Block Factorization Preconditioner for 2D Incompressible (Reduced) Resistive MHD," Journal Article, SIAM J. Sci. Comput., Accepted/Published August 2013.
2012
2011
  • Berger-Vergiat, Luc, Haim Waisman, Badri Hiriyur, Raymond S. Tuminaro, David Keyes, "Inexact Schwarz-AMG Preconditioners for Crack Problems Modeled by XFEM," Journal Article, International J. Numerical Methods Engineering, Accepted/Published December 2011.
  • Brezina, Marian, Jonathan Hu, Raymond S. Tuminaro, "Parallel Algebraic Multigrid," Journal Article, Encyclopedia of Parallel Computing, Vol. to appear, Accepted/Published December 2011.
  • Elman, Howard C., Chris W. Miller, Eric T. Phipps, Raymond S. Tuminaro, "ASSESSMENT OF COLLOCATION AND GALERKIN APPROACHES TO PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM DATA," Journal Article, International Journal of Uncertainty Quantification, Vol. 1, pp. 19–33, Accepted/Published January 2011.
  • Olson, Luke, Jacob Schroder, Raymond S. Tuminaro, "A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization," Journal Article, SIAM J. of Sci. Comput., Vol. to appear, Accepted/Published February 2011.
2010
2009
  • Elman, Howard E., Raymond Stephen Tuminaro, "Boundary Conditions in Approximate Commutator Preconditioners for the Navier-Stokes Equations," Journal Article, Electronic Transacation on Numerical Analysis, Vol. 35, pp. 257–280, Accepted/Published March 2009.
  • Lin, Paul T, John N. Shadid, Marzio G. Sala, Raymond S. Tuminaro, Gary L. Hennigan, Robert J. Hoekstra, "Performance of a Parallel Algebraic Multilevel Preconditioner for Stabilized Finite Element Semiconductor Device Modeling ," Journal Article, Journal of Computational Physics, Vol. 228, No. 17, pp. 6250–6267, Accepted/Published September 2009.
  • Olson, Luke, Jacob Schroder, Raymond S. Tuminaro, "A new perspective on strength measures in algebraic multigrid," Journal Article, Numerical Linear Algebra with Applications, Accepted/Published November 2009.
  • Tuminaro, Raymond S., Yunrong Zhu, Jinchao Xu, "Auxiliary space preconditioners for mixed finite element methods," Conference Paper, Domain Decomposition Conference, August 2009.
  • Tuminaro, Raymond S., Howard Elman, "Boundary Conditions in Approximate Commutator Preconditioners for the Navier-Stokes Equations," Journal Article, Electronic Transacation on Numerical Analysis, Vol. 35, pp. 257–280, Accepted/Published December 2009.
2008
  • Bochev, Pavel B, Jonathan J Hu, Christopher M Siefert, Raymond S Tuminaro, "An Algebraic Multigrid Approach Based on a Compatible Gauge Reformulation of Maxwell's Equations," Journal Article, SIAM Journal on Scientific Computing, Vol. 31, No. 1, pp. 557–583, Accepted/Published October 2008.
  • Elman, Howard, Victoria E. Howle, John N. Shadid, Robert R. Shuttleworth, Raymond S. Tuminaro, "A Taxonomy and Comparison of Parallel Block Multi-Level Preconditioners for the Incompressible Navier-Stokes Equations," Journal Article, Journal of Comp. Physics, Vol. 227, pp. 1790–1808, Accepted/Published January 2008.
  • Gee, Michael W., Jonathan J. Hu, Raymond S. Tuminaro, "A new smoothed aggregation multigrid method for anisotropic problems," Journal Article, Numerical Linear Algebra with Applications, Accepted/Published February 2008.
2007
  • Elman, Howard, Victoria E. Howle, David J. Silvester, Raymond S. Tuminaro, "Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations," Journal Article, SIAM J. Sci. Stat., Vol. 30, No. 1, pp. 290–311, Accepted/Published November 2007.
  • Giraud, Luc, Raymond S. Tuminaro, "Algebraic Domain Decomposition Preconditioners," Book, Mesh Partitioning Techniques and Domain Decomposition Methods, December 2007.
2006
  • Hu, Jonathan J., Raymond S. Tuminaro, Pavel B. Bochev, Christopher J. Garasi, Allen C. Robinson, "Toward an h-independent algebraic multigrid method for solving Maxwell's equations," Journal Article, SIAM Journal of Scientific Computing, Accepted/Published January 2006.
2003
  • Bochev, Pavel B., Christopher J. Garasi, Jonathan J. Hu, Allen C. Robinson, Raymond S. Tuminaro, "An Improved Algebraic Multigrid Method for Solving Maxwell's Equations," Journal Article, SIAM J. Sci. Comp, Accepted/Published April 2003.