Raymond Stephen Tuminaro

Computational Mathematics

Author profile picture

Computational Mathematics

rstumin@sandia.gov

(925) 294-2564

Biography

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

  • 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.
  • von Neumann fellowship committee (2016-2021, chair since 2020)
  • 2017-2020 Gene Golub Summer School Committee
  • 2010, 2012,2014,2016 & 2018 Co-Chair Copper Mountain Conferences on Iterative
  • 2008-2022 (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

Publications

Raymond Tuminaro, Michael Crockatt, Allen Robinson, (2022). Composing preconditioners for multiphysics PDE systems with applications to Generalized MHD https://doi.org/10.2172/1886757 Publication ID: 80163

Alexey Voronin, Yunhui He, Scott MacLachlan, Luke Olson, Raymond Tuminaro, (2022). Low-order preconditioning of the Stokes equations Numerical Linear Algebra with Applications https://doi.org/10.1002/nla.2426 Publication ID: 76769

Raymond Tuminaro, Alexey Voronin, Scott Machlan, Luke Olson, (2021). Algebraic Multigrid for mixed finite element discretizations of the Stokes Equations https://www.osti.gov/servlets/purl/1890591 Publication ID: 75988

Peter Ohm, Raymond Tuminaro, Jonathan Hu, John Shadid, Eric Cyr, Tobias Wiesner, (2021). An Algebraic Monolithic Method for Volume-coupled Multiphysics Problems https://doi.org/10.2172/1872519 Publication ID: 78786

Christopher Siefert, Raymond Tuminaro, Christian Glusa, John Kaushagen, (2021). Multilevel Methods for Maxwell’s Equations https://doi.org/10.2172/1869378 Publication ID: 78523

Peter Ohm, Raymond Tuminaro, John Shadid, Jonathan Hu, Tobias Wiesner, Eric Cyr, (2021). A Monolithic Algebraic Multigrid Approach for Coupled Multiphysics Problems using the MueLu Framework https://doi.org/10.2172/1861027 Publication ID: 77864

Peter Ohm, Raymond Tuminaro, John Shadid, Jonathan Hu, Tobias Wiesner, (2021). An Algebraic Monolithic Method for Volume-coupled Multiphysics Problems https://doi.org/10.2172/1854312 Publication ID: 77446

Luc Berger-Vergiat, Jonathan Hu, Raymond Tuminaro, Christopher Siefert, Christian Glusa, (2020). MueLu’s Algorithmic Performance on GPU https://www.osti.gov/servlets/purl/1766725 Publication ID: 72589

Drew Kouri, Denis Ridzal, Raymond Tuminaro, (2020). KKT preconditioners for pde-constrained optimization with the helmholtz equation SIAM Journal on Scientific Computing https://doi.org/10.1137/20m1349199 Publication ID: 73984

Irina Tezaur, Jerry Watkins, Raymond Tuminaro, (2020). Trilinos/Kokkos-based strategy towards achieving a performance portable land-ice model https://www.osti.gov/servlets/purl/1760994 Publication ID: 70663

Leopold Cambier, Chao Chen, Erik Boman, Sivasankaran Rajamanickam, Raymond Tuminaro, Eric Darve, (2020). An algebraic sparsified nested dissection algorithm using low-rank approximations SIAM Journal on Matrix Analysis and Applications https://doi.org/10.1137/19m123806x Publication ID: 64295

Eric Cyr, John Shadid, Raymond Tuminaro, Luis Chacon, Roger Pawlowski, Edward Phillips, Sean Miller, (2019). Techniques for Simulating Multiple Timescales with Application to Plasmas https://www.osti.gov/servlets/purl/1646409 Publication ID: 66594

Raymond Tuminaro, Luc Berger-Vergiat, Christopher Siefert, Mike, Brazell, Dimitri Mavriplis, (2019). Algebraic Multigrid for Highly Convective Flow Simulations https://www.osti.gov/servlets/purl/1643436 Publication ID: 66779

Erik Boman, Eric Darve, Richard Lehoucq, Sivasankaran Rajamanickam, Raymond Tuminaro, Ichitaro Yamazaki, (2019). LDRD Final Report: Fast and Robust Linear Solvers based on Hierarchical Matrices https://doi.org/10.2172/1574609 Publication ID: 66330

Chao Chen, Leopold Cambier, Erik Boman, Sivasankaran Rajamanickam, Raymond Tuminaro, Eric Darve, (2019). A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling Journal of Computational Physics https://doi.org/10.1016/j.jcp.2019.07.024 Publication ID: 70450

Raymond Tuminaro, John Shadid, Eric Cyr, Paul Lin, Roger Pawlowski, Edward Phillips, Tobias Wiesner, James Adler, Tom Benson, Luis Chacon, Patrick Farrell, Ari Rappaport, Scott MacLachlan, Jonathan Hu, Luc Berger-Vergiat, Christian Glusa, Christopher Siefert, (2019). Scalable Preconditioners to Improve Time to Solution for Magnetohydrodynamics Applications https://www.osti.gov/servlets/purl/1645823 Publication ID: 70609

Raymond Tuminaro, Luc Berger-Vergiat, Travis Fisher, Morgan Davis, M. Brazell, D. Mavriplis, (2019). Algebraic Multigrid for Hypersonic Simulations https://www.osti.gov/servlets/purl/1648848 Publication ID: 69488

Leopold Cambier, Chao Chen, Erik Boman, Sivasankaran Rajamanickam, Raymond Tuminaro, Eric Darve, (2019). SpaND: An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations https://www.osti.gov/servlets/purl/1641027 Publication ID: 69531

Raymond Tuminaro, Luc Berger-Vergiat, Travis Fisher, Micah Howard, Christopher Siefert, Mike Brazil, Dimitri Mavriplis, (2019). Algebraic Multigrid for Hypersonic Simulations https://www.osti.gov/servlets/purl/1640941 Publication ID: 69369

Erik Boman, Leopold Cambier, Chao Chen, Eric Darve, Sivasankaran Rajamanickam, Raymond Tuminaro, (2019). SpaND: An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations https://www.osti.gov/servlets/purl/1639964 Publication ID: 68433

Luc Berger-Vergiat, Raymond Tuminaro, Peter Ohm, (2019). Structured grid approach to accelerate multigrid on NGP https://www.osti.gov/servlets/purl/1639566 Publication ID: 67748

Luc Berger-Vergiat, Raymond Tuminaro, Jonathan Hu, Christopher Siefert, (2019). A multigrid approach to solve hypersonic flow problems https://www.osti.gov/servlets/purl/1602113 Publication ID: 67099

Ari Rappaport, John Shadid, Luc Berger-Vergiat, Raymond Tuminaro, Jehanzeb Chaudhry, (2019). Black Box Multigrid for MHD https://www.osti.gov/servlets/purl/1601930 Publication ID: 67068

Luc Berger-Vergiat, Christian Glusa, Jonathan Hu, Christopher Siefert, Raymond Tuminaro, Mayr Matthias, Prokopenko Andrey, Wiesner Tobias, (2019). MueLu User’s Guide https://doi.org/10.2172/1491860 Publication ID: 64392

Raymond Tuminaro, Jonathan Hu, Christopher Siefert, Luc Berger-Vergiat, Mattias Mayr, (2019). Non-invasive Semi-Structured Multigrid on Advanced Architectures https://www.osti.gov/servlets/purl/1595907 Publication ID: 64466

Raymond Tuminaro, Luc Berger-Vergiat, Jonathan Hu, Christopher Siefert, Matthias Mayr, (2019). Non-invasive Semi-Structured Multigrid on Advanced Architectures https://www.osti.gov/servlets/purl/1595908 Publication ID: 64467

G. Becker, C. Siefert, Raymond Tuminaro, H. Sun, D. Valiveti, A. Mohan, J. Yin, H. Huang, (2018). High resolution viscous fingering simulation in miscible displacement using a p-adaptive discontinuous Galerkin method with algebraic multigrid preconditioner Journal of Computational Physics https://doi.org/10.1016/j.jcp.2018.07.003 Publication ID: 64074

Leopold Cambier, Chao Chen, Eric Darve, Erik Boman, Sivasankaran Rajamanickam, Raymond Tuminaro, (2018). An Algebraic Sparsified Nested Dissection Algorithm using Low-Rank Approximations https://www.osti.gov/servlets/purl/1574602 Publication ID: 60149

Raymond Tuminaro, Tobias Wiesner, Eric Cyr, John Shadid, (2018). Monolithic Multigrid for Multiphysics Applications Arising from Resistive MHD https://www.osti.gov/servlets/purl/1574277 Publication ID: 63482

David Noble, Raymond Tuminaro, (2018). Applying Algebraic Multigrid Methods to Dynamic Enriched Conformal Decomposition Finite Element Methods for Multi-material Transport https://www.osti.gov/servlets/purl/1525943 Publication ID: 62449

Luc Berger-Vergiat, Raymond Tuminaro, Peter Ohm, (2018). Structured grid algorithms in MueLu https://www.osti.gov/servlets/purl/1506566 Publication ID: 61440

Jonathan Hu, Luc Berger-Vergiat, Raymond Tuminaro, (2018). Solvers for Hypersonic Flow Applications https://www.osti.gov/servlets/purl/1806942 Publication ID: 61558

Erik Boman, Chao Chen, Eric Darve, Sivasankaran Rajamanickam, Raymond Tuminaro, (2018). A Hierarchical Low-Rank Solver for Sparse Linear Systems and Its Variations https://www.osti.gov/servlets/purl/1498648 Publication ID: 60959

Matthias Mayr, Massimiliano Pasini, Luc Berger-Vergiat, Raymond Tuminaro, (2018). A non-invasive matrix-based multigrid scheme for partially structured grids https://www.osti.gov/servlets/purl/1505279 Publication ID: 61374

Raymond Tuminaro, Luc Berger-Vergiat, Matthias Mayr, John Shadid, Eric Cyr, Massimiliano Lupo Pasini, Peter Ohm, (2018). Leveraging Application Structure Within Next Generation Multigrid Solvers https://www.osti.gov/servlets/purl/1497566 Publication ID: 60830

Raymond Tuminaro, Jonathan Hu, Christopher Siefert, Luc Berger-Vergiat, Matthias Mayr, (2018). Leveraging Problem Structure within Multilevel Solvers to Improve Robustness & Performance on Advanced Architectures https://www.osti.gov/servlets/purl/1497567 Publication ID: 60831

Andrey Prokopenko, Raymond Tuminaro, (2017). An algebraic multigrid method for Q2−Q1 mixed discretizations of the Navier–Stokes equations Numerical Linear Algebra with Applications https://doi.org/10.1002/nla.2109 Publication ID: 50978

Kevin Carlberg, Sofia Guzzetti, Raymond Tuminaro, (2017). Multigrid Methods for Uncertainty Propagation in (large-scale) Networks via Domain Decomposition https://www.osti.gov/servlets/purl/1509633 Publication ID: 53310

Erik Boman, Chao Chen, Eric Darve, Sivasankaran Rajamanickam, Raymond Tuminaro, (2017). A Parallel Hierarchical Low-Rank Solver for General Sparse Matrices https://www.osti.gov/servlets/purl/1471958 Publication ID: 58520

Erik Boman, Chao Chen, Eric Darve, Sivasankaran Rajamanickam, Raymond Tuminaro, (2017). A Hierarchical Low-Rank Solver for Large Sparse Linear Systems https://www.osti.gov/servlets/purl/1471959 Publication ID: 58521

Irina Tezaur, Jerry Watkins, Raymond Tuminaro, Irina Demeshko, (2017). Performance & Performance Portability of the Albany/FELIX Finite Element Land-Ice Solver https://www.osti.gov/servlets/purl/1469061 Publication ID: 58306

Raymond Tuminaro, Mauro Perego, Irina Tezaur, Andrew Salinger, Steven Price, (2017). Algebraic multigrid solvers for thin-domain problems: application to ice sheet modeling https://www.osti.gov/servlets/purl/1462652 Publication ID: 57648

Tobias Wiesner, John Shadid, Eric Cyr, Jonathan Hu, Raymond Tuminaro, (2017). MueLu – a multigrid framework for multiphysics preconditioners https://www.osti.gov/servlets/purl/1456404 Publication ID: 55598

Raymond Tuminaro, David Noble, (2017). An Algebraic Multigrid Approach to PDE Systems with Variable Degrees-of-Freedom Per Node https://www.osti.gov/servlets/purl/1427437 Publication ID: 55201

Raymond Tuminaro, Mauro Perego, Irina Tezaur, Andrew Salinger, Stephen Price, (2017). An algebraic multigrid linear solver for extruded meshes: application to ice sheet simulation https://www.osti.gov/servlets/purl/1456365 Publication ID: 55543

Erik Boman, Chao Chen, Eric Darve, Sivasankaran Rajamanickam, Raymond Tuminaro, (2017). Hierarchical Matrices and Low-Rank Methods for Extreme-Scale Solvers https://www.osti.gov/servlets/purl/1424840 Publication ID: 55059

Tobias Wiesner, Raymond Tuminaro, Eric Cyr, John Shadid, Jonathan Hu, (2017). Multiphysics Preconditioning with the MueLu Multigrid Library https://www.osti.gov/servlets/purl/1458245 Publication ID: 54996

Irina Tezaur, Andrew Salinger, Mauro Perego, Raymond Tuminaro, John Jakeman, Michael Eldred, Jerry Watkins, Stephen Price, Irina Demeshko, (2017). The Albany/FELIX Land-Ice Dynamical Core https://www.osti.gov/servlets/purl/1416697 Publication ID: 52719

Raymond Tuminaro, Eric Cyr, John Shadid, David Noble, Luc Berger-Vergiat, Jonathan Hu, Andrey Prokopenko, Christopher Siefert, Tobias Wiesner, Mauro Perego, Andrew Salinger, Irina Tezaur, Stephen Price, (2016). Toward Robust Scalable Algebraic Multigrid Solvers https://www.osti.gov/servlets/purl/1406967 Publication ID: 47500

Irina Tezaur, Andrew Salinger, Mauro Perego, Raymond Tuminaro, Stephen Price, Jerry Watkins, Glen Hansen, (2016). The Albany/FELIX First-Order Stokes Finite Element Ice Sheet Dynamical Core Built Using Trilinos Software Components: Performance Next-Generation Capabilities and Validation https://www.osti.gov/servlets/purl/1392754 Publication ID: 52193

Edward Phillips, Eric Cyr, John Shadid, Raymond Tuminaro, (2016). Block Preconditioners for Mixed Discretization MHD and Continuum Plasma Simulations Enabled by Teko https://www.osti.gov/servlets/purl/1373178 Publication ID: 51342

Kevin Carlberg, Virginia Forstall, Raymond Tuminaro, (2016). Krylov-Subspace Recycling via the POD-Augmented Conjugate Gradient Method https://doi.org/10.1137/16M1057693 Publication ID: 51151

Raymond Tuminaro, Mauro Perego, Irina Tezaur, Andrew Salinger, (2016). A Scalable Solver Algorithm to Enable Sea-Level Rise Prediction using Agile Components https://www.osti.gov/servlets/purl/1368894 Publication ID: 50321

Tobias Wiesner, John Shadid, Eric Cyr, Raymond Tuminaro, Jonathan Hu, (2016). Multigrid framework for multiphysics problems https://www.osti.gov/servlets/purl/1368650 Publication ID: 50605

John Shadid, Roger Pawlowski, E. Cyr, Raymond Tuminaro, L. Chacón, Paula Weber, (2016). Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG Computer Methods in Applied Mechanics and Engineering https://doi.org/10.1016/j.cma.2016.01.019 Publication ID: 39906

Raymond Tuminaro, David Noble, Andrey Prokopenko, (2016). A Quasi-Algebraic Multigrid Approach to PDE systems with Variable Degrees-of-Freedom Per Node https://www.osti.gov/servlets/purl/1422052 Publication ID: 48964

Kevin Carlberg, Virginia Forstall, Raymond Tuminaro, (2016). Applying model reduction to Krylov subspace recycling https://www.osti.gov/servlets/purl/1364864 Publication ID: 49073

Eric Cyr, John Shadid, Raymond Tuminaro, (2016). Teko: A block preconditioning capability with concrete example applications in Navier-Stokes and MHD SIAM Journal on Scientific Computing https://doi.org/10.1137/15M1017946 Publication ID: 46661

Kevin Carlberg, Virginia Forstall, Raymond Tuminaro, (2016). Krylov-subspace recycling via the POD-augmented conjugate-gradient method SIAM Journal on Matrix Analysis and Applications https://doi.org/10.1137/16M1057693 Publication ID: 46919

Irina Tezaur, Andrew Salinger, Mauro Perego, Raymond Tuminaro, (2016). Component-based application code development, part 2: https://www.osti.gov/servlets/purl/1422149 Publication ID: 46706

James Adler, Thomas Benson, Eric Cyr, Scott Maclachlan, Raymond Tuminaro, (2016). Monolithic multigrid methods for two-dimensional resistive magnetohydrodynamics SIAM Journal on Scientific Computing https://doi.org/10.1137/151006135 Publication ID: 46200

Thomas Benson, James Adler, Eric Cyr, Scott MacLachlan, Raymond Tuminaro, (2016). Monolithic Multigrid for a B-field Incompressible Resistive Magnetohydrodynamics Model https://www.osti.gov/servlets/purl/1341371 Publication ID: 46833

Irina Tezaur, Andrew Salinger, Mauro Perego, Raymond Tuminaro, (2015). Component-Based Application Code Development Part 2: Demonstration on a Land-Ice Model and Proposed Extension to Other Climate Components https://www.osti.gov/servlets/purl/1333792 Publication ID: 41729

Andrew Salinger, Andrew Bradley, Irina Demeshko, Glen Hansen, Mauro Perego, Eric Phipps, Irina Tezaur, Raymond Tuminaro, Brian Granzow, Dan Ibanez, Mark Shephard, (2015). Albany: Integrating Algorithmic Components to Build Advanced Applications https://www.osti.gov/servlets/purl/1333895 Publication ID: 41716

Irina Tezaur, Andrew Salinger, Mauro Perego, John Jakeman, Michael Eldred, Irina Demeshko, Raymond Tuminaro, Stephen Price, (2015). Albany/FELIX: A Robust & Scalable Trilinos-Based Finite-Element Ice Flow Dycore Built for Advanced Architectures & Analysis https://www.osti.gov/servlets/purl/1301963 Publication ID: 44874

Christopher Siefert, Raymond Tuminaro, Gauthier Becker, Huafei Sun, Jichao Yin, Hao Huang, (2015). Linear solver strategy for coupled and implicit discontinuous Galerkin method to model miscible displacement with adverse mobility ratio https://www.osti.gov/servlets/purl/1513572 Publication ID: 44588

Raymond Tuminaro, Andrey Prokopenko, (2015). Algebraic Multigrid Preconditioners for Q2-Q1 discretizations of the incompressi ble Navier-Stokes equations https://www.osti.gov/servlets/purl/1339228 Publication ID: 44666

Irina Tezaur, Mauro Perego, Raymond Tuminaro, Andrew Salinger, John Jakeman, Michael Eldred, Lili Ju, Tong Zhang, Max Gunzburger, Stephen Price, (2015). Progress on the PISCEES FELIX Ice Sheet Dynamical Cores https://www.osti.gov/servlets/purl/1576124 Publication ID: 44422

Irina Tezaur, Raymond Tuminaro, Mauro Perego, Andrew Salinger, Steven Price, (2015). 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 https://www.osti.gov/servlets/purl/1258248 Publication ID: 43487

Irina Tezaur, Andrew Salinger, Mauro Perego, Raymond Tuminaro, (2015). On the Development & Performance of a First Order Stokes Finite Element Ice Sheet Dycore Built Using Trilinos Software Components https://www.osti.gov/servlets/purl/1241279 Publication ID: 42386

Raymond Tuminaro, Irina Tezaur, Mauro Perego, Andrew Salinger, Steve Price, (2015). A Hybrid Operator Dependent MG / AMG Approach: Application to Ice Sheet Modeling https://www.osti.gov/servlets/purl/1331648 Publication ID: 42701

Irina Tezaur, Mauro Perego, Andrew Salinger, Raymond Tuminaro, Stephen Price, (2015). Update on the Albany/FELIX First Order Stokes Solver and the CISM-Albany and MPAS-Albany Dycores https://www.osti.gov/servlets/purl/1504179 Publication ID: 41372

Kevin Carlberg, Raymond Tuminaro, Paul Boggs, (2015). Preserving lagrangian structure in nonlinear model reduction with application to structural dynamics SIAM Journal on Scientific Computing https://doi.org/10.1137/140959602 Publication ID: 37096

Irina Tezaur, Raymond Tuminaro, Mauro Perego, Andrew Salinger, Stephen Price, (2015). 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 Procedia Computer Science https://www.osti.gov/servlets/purl/1244863 Publication ID: 41199

Eric Cyr, John Shadid, Edward Phillips, Raymond Tuminaro, Roger Pawlowski, Paul Lin, Luis Chacon, (2014). Block Preconditioning for Multi-physics: From Jacobi to Schur Complements https://www.osti.gov/servlets/purl/1367654 Publication ID: 39432

M. Drohmann, Raymond Tuminaro, Paul Boggs, Jaideep Ray, Bart van Bloemen Waanders, Kevin Carlberg, (2014). Breaking Computational Barriers: Real-time Analysis and Optimization with Large-scale Nonlinear Models via Model Reduction https://doi.org/10.2172/1323654 Publication ID: 39353

Jonathan Hu, Andrey Prokopenko, Tobias Wiesner, Christopher Siefert, Raymond Tuminaro, (2014). MueLu User’s Guid for Trilinos Version 11.12 https://doi.org/10.2172/1160320 Publication ID: 39120

Irina Tezaur, Andrew Salinger, Mauro Perego, Raymond Tuminaro, Stephen Price, (2014). An Update on the Albany/FELIX First- Order Stokes Finite Element Solver & Its Coupling to Land Ice Dycores https://www.osti.gov/servlets/purl/1497517 Publication ID: 37350

Andrew Salinger, Mauro Perego, Raymond Tuminaro, (2014). The Albany/FELIX First Order Stokes Dycore https://www.osti.gov/servlets/purl/1140556 Publication ID: 36966

Irina Tezaur, Andrew Salinger, Mauro Perego, Raymond Tuminaro, John Jakeman, (2014). FELIX: The Albany Ice Sheet Modeling Code https://www.osti.gov/servlets/purl/1140457 Publication ID: 36741

Raymond Tuminaro, Jonathan Hu, Andrey Prokopenko, Christopher Siefert, Paul Tsuji, Erik Boman, Eric Cyr, Paul Lin, John Shadid, (2013). Amoritzing AMG Components Across Problem Sequences https://www.osti.gov/servlets/purl/1106439 Publication ID: 35034

Andrey Prokopenko, Jonathan Hu, Raymond Tuminaro, (2013). On Parallelization of Energy Minimizing Multigrid https://www.osti.gov/servlets/purl/1113067 Publication ID: 34355

Andrey Prokopenko, Jonathan Hu, Raymond Tuminaro, (2013). Algebric Multigrid using Energy-Minimization in Parallel Setting https://www.osti.gov/servlets/purl/1083709 Publication ID: 34065

Raymond Tuminaro, Erik Boman, Jonathan Hu, Andrey Prokopenko, Christopher Siefert, Paul Tsuji, (2013). Toward Flexible Scalable Algebraic Multigrid Solvers https://www.osti.gov/servlets/purl/1083708 Publication ID: 34096

John Shadid, Raymond Tuminaro, Roger Pawlowski, (2013). Approximate Block Factorization Preconditioners for 2D and 3D Incompressible MHD https://www.osti.gov/servlets/purl/1082629 Publication ID: 33926

Andrew Salinger, Irina Tezaur, Mauro Perego, Raymond Tuminaro, Michael Eldred, John Jakeman, (2013). Rapid Development of an Ice Sheet Climate Application using the Components-Based Approach https://www.osti.gov/servlets/purl/1661056 Publication ID: 33356

Andrey Prokopenko, Jonathan Hu, Raymond Tuminaro, (2013). Energy Minimization in Parallel Setting https://www.osti.gov/servlets/purl/1145360 Publication ID: 32593

Roger Pawlowski, Eric Cyr, John Shadid, Raymond Tuminaro, Paul Lin, (2013). Performance of Efficient AMG Based Preconditioners for Implicit Resistive MHD https://www.osti.gov/biblio/1067808 Publication ID: 32385

Andrew Salinger, Raymond Tuminaro, (2013). A New Unstructured Variable-Resolution Finite Element Ice Sheet Stress-Velocity Solver within the MPAS/Trilinos FELIX Dycore of PISCEES https://www.osti.gov/servlets/purl/1145231 Publication ID: 32124

Raymond Tuminaro, Eric Cyr, (2013). An Investigation of Multigrid Smoothers for Fully Implicit 2D Incompressible Resistive MHD https://www.osti.gov/biblio/1064306 Publication ID: 32215

Raymond Tuminaro, Paul Boggs, (2013). Efficient structure-preserving model reduction for nonlinear mechanical systems with application to structural dynamics https://www.osti.gov/servlets/purl/1145296 Publication ID: 32220

Raymond Tuminaro, Eric Cyr, (2013). MULTIGRID SMOOTHERS FOR MAGNETOHYDRODYNAMICS https://www.osti.gov/biblio/1063505 Publication ID: 31470

John Shadid, Raymond Tuminaro, Roger Pawlowski, Paul Lin, (2012). Block Preconditioning for Multi-physics: From Jacobi to Schur Complements https://www.osti.gov/biblio/1072495 Publication ID: 30870

John Shadid, Raymond Tuminaro, Roger Pawlowski, (2012). A NEW APPROXIMATE BLOCK FACTORIZATION PRECONDITIONER FOR 2D INCOMPRESSIBLE (REDUCED) RESISTIVE MHD Proposed for publication in SIAM Journal on Scientific Computing. https://www.osti.gov/biblio/1073479 Publication ID: 29653

Paul Lin, John Shadid, Raymond Tuminaro, Jonathan Hu, (2012). Towards Scalable Algebraic Multigrid Preconditioners for Parallel Drift-Diffusion and Magnetohydrodynamic Simulations https://www.osti.gov/servlets/purl/1116587 Publication ID: 29327

Kevin Carlberg, Raymond Tuminaro, Paul Boggs, (2012). Efficient structure-preserving model reduction for nonlinear mechanical systems with application to structural dynamics: presentation https://www.osti.gov/biblio/1067811 Publication ID: 27768

Jeremie Gaidamour, Christopher Siefert, Raymond Tuminaro, (2012). MueLu – A Flexible Parallel Multigrid Framework https://www.osti.gov/servlets/purl/1117538 Publication ID: 27573

Raymond Tuminaro, Jonathan Hu, (2012). Energy Minimizing AMG for Problem Sequences: Adaptation to Applications and Advanced Architectures https://www.osti.gov/biblio/1068433 Publication ID: 27302

Raymond Tuminaro, Paul Boggs, (2012). Efficient structure-preserving model reduction for nonlinear mechanical systems with application to structural dynamics https://www.osti.gov/servlets/purl/1078622 Publication ID: 27371

Axel Gerstenberger, Raymond Tuminaro, (2012). An algebraic multigrid approach to solve XFEM based fracture problems Internation Journal for Numerical Methods in Engineering https://www.osti.gov/biblio/1145347 Publication ID: 26143

Eric Cyr, John Shadid, Raymond Tuminaro, (2012). Stabilization and scalable block preconditioning for the Navier-Stokes equations Journal of Computational Physics https://www.osti.gov/biblio/1106174 Publication ID: 24325

Jeremie Gaidamour, Christopher Siefert, Raymond Tuminaro, Axel Gerstenberger, (2011). MueLu: A Framework for Developing Scalable Multigrid Preconditioners https://www.osti.gov/servlets/purl/1111588 Publication ID: 25418

Paul Lin, John Shadid, Raymond Tuminaro, Jonathan Hu, (2011). HIgh Fidelity Semiconductor Device Simulations on Massively Parallel Platforms https://www.osti.gov/servlets/purl/1118478 Publication ID: 25448

John Shadid, Raymond Tuminaro, (2011). Teko: A package for block preconditioning https://www.osti.gov/servlets/purl/1118543 Publication ID: 25175

Axel Gerstenberger, Raymond Tuminaro, (2011). Algebraic Multigrid Techniques for the eXtended Finite Element Method https://www.osti.gov/biblio/1107002 Publication ID: 24923

Paul Lin, John Shadid, Raymond Tuminaro, (2011). Performance of an AMG-Based Preconditioning Technique for Fully-Coupled Solution of Large-Scale Multiphysics Systems https://www.osti.gov/servlets/purl/1140618 Publication ID: 23615

Axel Gerstenberger, Raymond Tuminaro, (2011). Algebraic Multigrid Techniques for the eXtended Finite Element Method https://www.osti.gov/biblio/1106261 Publication ID: 23639

Jonathan Hu, Jeremie Gaidamour, Christopher Siefert, Raymond Tuminaro, (2011). Algebraic Multigrid for Systems of PDEs Based on Energy Minimization Principles https://www.osti.gov/servlets/purl/1140298 Publication ID: 23525

Jeremie Gaidamour, Jonathan Hu, Raymond Tuminaro, Christopher Siefert, (2011). MueMat: a MATLAB Toolbox to Experiment with New Multigrid Preconditioners https://www.osti.gov/servlets/purl/1140699 Publication ID: 23531

Jeremie Gaidamour, Christopher Siefert, Raymond Tuminaro, (2011). Algebraic Multigrid using Energy-Minimization: a general framework to develop intergrid transfer operator https://www.osti.gov/biblio/1106994 Publication ID: 22682

Raymond Tuminaro, Jeremie Gaidamour, Axel Gerstenberger, Jonathan Hu, Christopher Siefert, (2011). Leveraging flexibility in energy minimization algebraic multigrid https://www.osti.gov/servlets/purl/1288862 Publication ID: 21858

Jeremie Gaidamour, Jonathan Hu, Christopher Siefert, Raymond Tuminaro, (2011). Designing an extensible framework for multigrid algorithm research https://www.osti.gov/servlets/purl/1120626 Publication ID: 22122

John Shadid, Roger Pawlowski, Raymond Tuminaro, (2011). Approximate Block Factorization Preconditioners for Primitive Variable Incompressible Resistive MHD https://www.osti.gov/servlets/purl/1108774 Publication ID: 21954

Axel Gerstenberger, Raymond Tuminaro, (2011). Algebraic multigrid techniques for the extended finite element method https://www.osti.gov/servlets/purl/1120570 Publication ID: 22015

Raymond Tuminaro, Jeremie Gaidamour, Axel Gerstenberger, Christopher Siefert, (2011). Krylov Methods and Energy Minimization Algebraic Multigrid https://www.osti.gov/servlets/purl/1109204 Publication ID: 21773

Jeremie Gaidamour, Raymond Tuminaro, Christopher Siefert, (2011). A General AMG Strategy for Addressing the Near Null-space Based on Energy Minimization https://www.osti.gov/biblio/1120893 Publication ID: 21557

Raymond Tuminaro, Eric Phipps, (2011). ASSESSMENT OF COLLOCATION AND GALERKIN APPROACHES TO PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM DATA International Journal of Uncertainty Quantification https://doi.org/10.1615/Int.J.UncertaintyQuantification.v1.i1.20 Publication ID: 21639

Raymond Tuminaro, Erik Boman, (2011). A Quasi-Algebraic Multigrid Approach to Fracture Problems Based on Extended Finite Elements SIAM Journal on Scientific Computing https://www.osti.gov/biblio/1110602 Publication ID: 21188

Erik Boman, Axel Gerstenberger, Raymond Tuminaro, (2011). Progress on Ice Mechanics Modeling and Scalable Algorithms for Ice Fracture https://www.osti.gov/servlets/purl/1140504 Publication ID: 21195

Heidi Thornquist, Ting Mei, Raymond Tuminaro, (2010). Solution methods for very highly integrated circuits https://doi.org/10.2172/1011611 Publication ID: 21132

Raymond Tuminaro, Jonathan Hu, Jeremie Gaidamour, Christopher Siefert, Axel Gerstenberger, (2010). A flexible AMG framework centered on energy minimization https://www.osti.gov/biblio/1035650 Publication ID: 20938

Raymond Tuminaro, Christopher Siefert, Jonathan Hu, Jeremie Gaidamour, (2010). Toward robust scalable algebraic multigrid solvers https://www.osti.gov/biblio/1028459 Publication ID: 20342

John Shadid, Raymond Tuminaro, (2010). Developing block preconditioners for multiphysics applications using the Trilinos package Teko https://www.osti.gov/biblio/1013781 Publication ID: 18312

John Shadid, Raymond Tuminaro, Roger Pawlowski, (2010). Approximate block factorization and physics-based preconditioning : application to CFD and MHD https://www.osti.gov/biblio/1003974 Publication ID: 17924

Raymond Tuminaro, Erik Boman, (2010). Modeling the fracture of ice sheets on parallel computers https://www.osti.gov/biblio/984088 Publication ID: 17359

Eric Cyr, John Shadid, Roger Pawlowski, Raymond Tuminaro, (2010). Block Preconditioners for Fluid Flow and MHD https://www.osti.gov/servlets/purl/1142042 Publication ID: 17647

Paul Lin, John Shadid, Marzio Sala, Raymond Tuminaro, Gary Hennigan, Robert Hoekstra, (2009). Performance of a parallel algebraic multilevel preconditioner for stabilized finite element semiconductor device modeling Journal of Computational Physics https://www.osti.gov/biblio/1142912 Publication ID: 14438

Christopher Siefert, Raymond Tuminaro, Stefan Domino, Allen Robinson, (2009). Highly scalable linear solvers on thousands of processors https://doi.org/10.2172/993900 Publication ID: 16793

Raymond Tuminaro, Jonathan Hu, Eric Cyr, (2009). Energy Minimizing Algebraic Multigrid for Systems of Partial Differential Equations https://www.osti.gov/servlets/purl/1696844 Publication ID: 15859

Raymond Tuminaro, Jonathan Hu, Christopher Siefert, (2009). Multilevel Project https://www.osti.gov/servlets/purl/1698386 Publication ID: 15592

Raymond Tuminaro, John Shadid, (2008). Saddle-Point Preconditioners Based on Commutators https://www.osti.gov/servlets/purl/1142508 Publication ID: 15299

Christopher Siefert, Jonathan Hu, Raymond Tuminaro, Erik Boman, Karen Devine, (2008). Partitioning for Multigrid Solvers https://www.osti.gov/servlets/purl/1143232 Publication ID: 13916

Christopher Siefert, Raymond Tuminaro, Pavel Bochev, Erik Boman, Karen Devine, (2008). Recent Algorithmic (and Practical) Developments in ML https://www.osti.gov/servlets/purl/1145786 Publication ID: 13188

Raymond Tuminaro, (2008). Preconditioners Boundary Conditions for the Navier-Stokes Equations Based on Commutators https://www.osti.gov/servlets/purl/1146185 Publication ID: 13202

Howard Elman, V. Howle, John Shadid, Robert Shuttleworth, Raymond Tuminaro, (2008). A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations Journal of Computational Physics https://doi.org/10.2172/920807 Publication ID: 9714

Christopher Siefert, Pavel Bochev, Jonathan Hu, Raymond Tuminaro, (2008). Performance and Scalability in Computational Electromagnetics at Sandia https://www.osti.gov/servlets/purl/1713030 Publication ID: 12554

Christopher Siefert, Jonathan Hu, Raymond Tuminaro, (2007). What’s New in ML? New Features in Trilinos 8.0 https://www.osti.gov/servlets/purl/1147372 Publication ID: 11914

Christopher Siefert, Pavel Bochev, Raymond Tuminaro, Jonathan Hu, (2007). Algebraic Multigrid and a Compatible Gauge Reformulation of Maxwell’s Equations https://www.osti.gov/servlets/purl/1146660 Publication ID: 12209

Raymond Tuminaro, Christopher Siefert, Pavel Bochev, (2007). Compatible Gauge Approaches for H(div) Equations https://www.osti.gov/servlets/purl/1721468 Publication ID: 11050

Raymond Tuminaro, Jonathan Hu, (2007). A New Smoothed Aggregation Multigrid Method for Anisotropic Problems Journal of Computational Physics https://www.osti.gov/biblio/1147337 Publication ID: 10901

Raymond Tuminaro, Jacob Schroder, (2007). Generalized Strength of Connection in Algebraic Multigrid https://www.osti.gov/servlets/purl/1721415 Publication ID: 10933

Pavel Bochev, Raymond Tuminaro, Jonathan Hu, (2007). An algebraic multigrid approach based on a compatible gauge reformulation of Maxwell’s equations Proposed for publication in SIAM Journal on Scientific Computing. https://www.osti.gov/biblio/908080 Publication ID: 9237

Stefan Domino, Raymond Tuminaro, Allen Robinson, Jonathan Hu, (2007). High performance parallel multigrid for large-scale electromagnetics simulations https://www.osti.gov/servlets/purl/1267112 Publication ID: 9073

Christopher Siefert, Pavel Bochev, Jonathan Hu, Raymond Tuminaro, (2007). Algebraic Multigrid and Algebraic Reformulations of the Eddy Current Equations https://www.osti.gov/servlets/purl/1143320 Publication ID: 8957

Marzio Sala, Paul Lin, John Shadid, Raymond Tuminaro, (2007). Algebraic multilevel preconditioners for nonsymmetric PDEs on stretched grids Lecture Notes in Computational Science and Engineering https://www.osti.gov/biblio/969878 Publication ID: 5335

Christopher Siefert, Raymond Tuminaro, Jonathan Hu, (2006). What’s new in ML?: new features in Trilinos 7.0 https://www.osti.gov/biblio/899085 Publication ID: 8328

V. Howle, Robert Shuttleworth, Raymond Tuminaro, (2006). Meros https://www.osti.gov/servlets/purl/1264547 Publication ID: 8340

Raymond Tuminaro, Pavel Bochev, Jonathan Hu, (2006). AMG and a Discrete Reformulation for Maxwell’s Equations https://www.osti.gov/servlets/purl/1724653 Publication ID: 8225

John Shadid, Raymond Tuminaro, (2006). Performance of AMG-type preconditioners for fully-coupled solution of FE Transport/Reaction Simulations https://www.osti.gov/servlets/purl/1264651 Publication ID: 8244

Raymond Tuminaro, Jonathan Hu, Christopher Siefert, (2006). Generalizing Smoothed Aggregation on Algebraic Multigrid https://www.osti.gov/servlets/purl/1725736 Publication ID: 7853

Raymond Tuminaro, John Shadid, Robert Hoekstra, Gary Hennigan, (2006). A multilevel preconditioner for FEM modeling of semiconductor devices https://www.osti.gov/biblio/893159 Publication ID: 7502

V. Howle, John Shadid, Raymond Tuminaro, (2006). Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations Proposed for publication in the SIAM Journal on Scientific Computing. https://www.osti.gov/biblio/897133 Publication ID: 6998

Michael Gee, Raymond Tuminaro, (2006). Nonlinear algebraic multigrid for constrained solid mechanics problems using Trilinos https://doi.org/10.2172/883128 Publication ID: 7015

Peter Arbenz, Ulrich Hetmaniuk, Richard Lehoucq, Raymond Tuminaro, (2005). A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods International Journal for Numerical Methods in Engineering https://doi.org/10.1002/nme.1365 Publication ID: 4329

Marzio Sala, John Shadid, Raymond Tuminaro, (2005). An improved convergence bound for aggregation-based domain decomposition preconditioners Proposed for publication in the SIAM Journal on Matrix Analysis and Applications. https://www.osti.gov/biblio/972459 Publication ID: 5565

Michael Gee, Raymond Tuminaro, Kendall Pierson, (2005). Nonlinear nearly matrix-free algebraic multigrid for solid mechanics https://www.osti.gov/biblio/1021121 Publication ID: 5179

John Shadid, Andrew Salinger, Roger Pawlowski, Paul Lin, Gary Hennigan, Raymond Tuminaro, Richard Lehoucq, (2005). Large-scale stabilized FE computational analysis of nonlinear steady state transport/reaction systems Proposed for publication in Computer Methods in Applied Mechanics and Engineering. https://www.osti.gov/biblio/971834 Publication ID: 5215

Marzio Sala, John Shadid, Raymond Tuminaro, (2005). Performance of multilevel preconditioners for stabilized finite element discretizations of transport/reaction systems https://www.osti.gov/biblio/946958 Publication ID: 4643

Marzio Sala, John Shadid, Raymond Tuminaro, (2005). Performance of multilevel domain decomposition preconditioners for finite element transport/reaction systems https://www.osti.gov/biblio/945898 Publication ID: 4292

John Shadid, Andrew Salinger, Roger Pawlowski, Paul Lin, Gary Hennigan, Raymond Tuminaro, Richard Lehoucq, (2004). Large-scale stabilized FE computational analysis of nonlinear steady state transport/reaction systems Proposed for publication in Computation Methods in Applied Mechanics and Engineering. https://www.osti.gov/biblio/915168 Publication ID: 4223

Marzio Sala, John Shadid, Raymond Tuminaro, (2004). Performance of fully-coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport Proposed for publication in International Journal for Numerical Methods in Engineering. https://www.osti.gov/biblio/915194 Publication ID: 4224

Marzio Sala, Raymond Tuminaro, Jonathan Hu, (2004). ML 3.1 smoothed aggregation user’s guide https://doi.org/10.2172/974895 Publication ID: 3697

John Shadid, Raymond Tuminaro, Marzio Sala, (2004). A smoother aggregation preconditioner for the solution of non-symmetric linear systems https://www.osti.gov/biblio/972890 Publication ID: 3699

Paul Lin, Marzio Sala, John Shadid, Raymond Tuminaro, (2004). Performance of multilevel preconditioners for incompressible flow with transport https://www.osti.gov/biblio/957685 Publication ID: 3504

Raymond Tuminaro, John Shadid, (2004). Acceleration of the Generialized Global Basis (GGB) method for nonlinear problems Proposed for publication in Journal of Computational Physics. https://www.osti.gov/biblio/964572 Publication ID: 3256

Marzio Sala, Jonathan Hu, Raymond Tuminaro, (2004). ML 3.1 developer’s guide https://doi.org/10.2172/974885 Publication ID: 3698

Marzio Sala, Jonathan Hu, Raymond Tuminaro, (2004). ML 3.0 smoothed aggregation user’s guide https://doi.org/10.2172/919154 Publication ID: 2954

Raymond Tuminaro, John Shadid, (2004). The generalized global basis (GGB) method Proposed for publication in IJNME. https://www.osti.gov/biblio/876254 Publication ID: 2993

John Shadid, Raymond Tuminaro, Karen Devine, Gary Hennigan, Paul Lin, (2004). Performance of fully-coupled domain decomposition preconditioners for finite element transport/reaction simulations Proposed for publication in Journal of Computational Physics. https://www.osti.gov/biblio/876377 Publication ID: 2969

Michael Heroux, Tamara Kolda, Kevin Long, Robert Hoekstra, Roger Pawlowski, Eric Phipps, Andrew Salinger, Alan Williams, Michael Heroux, Jonathan Hu, Richard Lehoucq, Heidi Thornquist, Raymond Tuminaro, James Willenbring, Roscoe Bartlett, V. Howle, (2003). An overview of Trilinos https://doi.org/10.2172/918383 Publication ID: 2497

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