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

  • Tuminaro, R., Crockatt, M., Robinson, A., & Robinson, A. (2022). Composing preconditioners for multiphysics PDE systems with applications to Generalized MHD. https://doi.org/10.2172/1886757 Publication ID: 80163
  • Voronin, A., He, Y., MacLachlan, S., Olson, L.N., Tuminaro, R., & Tuminaro, R. (2022). Low-order preconditioning of the Stokes equations. Numerical Linear Algebra with Applications, 29(3). https://doi.org/10.1002/nla.2426 Publication ID: 76769
  • Tuminaro, R., Voronin, A., Machlan, S., Olson, L., & Olson, L. (2021). Algebraic Multigrid for mixed finite element discretizations of the Stokes Equations [Presentation]. https://www.osti.gov/biblio/1890591 Publication ID: 75988
  • Ohm, P., Tuminaro, R., Hu, J., Shadid, J.N., Cyr, E., Wiesner, T., & Wiesner, T. (2021). An Algebraic Monolithic Method for Volume-coupled Multiphysics Problems [Conference Presenation]. https://doi.org/10.2172/1872519 Publication ID: 78786
  • Siefert, C., Tuminaro, R., Glusa, C., Kaushagen, J., & Kaushagen, J. (2021). Multilevel Methods for Maxwell’s Equations [Conference Presenation]. https://doi.org/10.2172/1869378 Publication ID: 78523
  • Ohm, P., Tuminaro, R., Shadid, J.N., Hu, J., Wiesner, T., & Wiesner, T. (2021). An Algebraic Monolithic Method for Volume-coupled Multiphysics Problems [Conference Presenation]. https://doi.org/10.2172/1854312 Publication ID: 77446
  • Ohm, P., Tuminaro, R., Shadid, J.N., Hu, J., Wiesner, T., Cyr, E., & Cyr, E. (2021). A Monolithic Algebraic Multigrid Approach for Coupled Multiphysics Problems using the MueLu Framework [Conference Presenation]. https://doi.org/10.2172/1861027 Publication ID: 77864
  • Berger-Vergiat, L., Hu, J., Tuminaro, R., Siefert, C., Glusa, C., & Glusa, C. (2020). MueLu’s Algorithmic Performance on GPU [Conference Poster]. https://www.osti.gov/biblio/1766725 Publication ID: 72589
  • Cambier, L., Chen, C., Boman, E., Rajamanickam, S., Tuminaro, R., Darve, E., & Darve, E. (2020). An algebraic sparsified nested dissection algorithm using low-rank approximations. SIAM Journal on Matrix Analysis and Applications, 41(2), pp. 715-746. https://doi.org/10.1137/19m123806x Publication ID: 64295
  • Tezaur, I., Watkins, J., Tuminaro, R., & Tuminaro, R. (2020). Trilinos/Kokkos-based strategy towards achieving a performance portable land-ice model [Conference Poster]. https://www.osti.gov/biblio/1760994 Publication ID: 70663
  • Kouri, D.P., Ridzal, D., Tuminaro, R., & Tuminaro, R. (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
  • Cyr, E., Shadid, J.N., Tuminaro, R., Chacon, L., Pawlowski, R., Phillips, E., Miller, S., & Miller, S. (2019). Techniques for Simulating Multiple Timescales with Application to Plasmas [Presentation]. https://www.osti.gov/biblio/1646409 Publication ID: 66594
  • Tuminaro, R., Berger-Vergiat, L., Siefert, C., Brazell, M., Mavriplis, D., & Mavriplis, D. (2019). Algebraic Multigrid for Highly Convective Flow Simulations [Conference Poster]. https://www.osti.gov/biblio/1643436 Publication ID: 66779
  • Boman, E., Darve, E., Lehoucq, R., Rajamanickam, S., Tuminaro, R., Yamazaki, I., & Yamazaki, I. (2019). LDRD Final Report: Fast and Robust Linear Solvers based on Hierarchical Matrices. https://doi.org/10.2172/1574609 Publication ID: 66330
  • Chen, C., Cambier, L., Boman, E., Rajamanickam, S., Tuminaro, R., Darve, E., & Darve, E. (2019). A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling. Journal of Computational Physics, 396, pp. 819-836. https://doi.org/10.1016/j.jcp.2019.07.024 Publication ID: 70450
  • Tuminaro, R., Shadid, J.N., Cyr, E., Lin, P., Pawlowski, R., Phillips, E., Wiesner, T., Adler, J., Benson, T., Chacon, L., Farrell, P., Rappaport, A., MacLachlan, S., Hu, J., Berger-Vergiat, L., Glusa, C., Siefert, C., & Siefert, C. (2019). Scalable Preconditioners to Improve Time to Solution for Magnetohydrodynamics Applications [Presentation]. https://www.osti.gov/biblio/1645823 Publication ID: 70609
  • Tuminaro, R., Berger-Vergiat, L., Fisher, T., Howard, M., Siefert, C., Brazil, M., Mavriplis, D., & Mavriplis, D. (2019). Algebraic Multigrid for Hypersonic Simulations [Conference Poster]. https://www.osti.gov/biblio/1640941 Publication ID: 69369
  • Tuminaro, R., Berger-Vergiat, L., Fisher, T., Davis, M., Brazell, M., Mavriplis, D., & Mavriplis, D. (2019). Algebraic Multigrid for Hypersonic Simulations [Presentation]. https://www.osti.gov/biblio/1648848 Publication ID: 69488
  • Cambier, L., Chen, C., Boman, E., Rajamanickam, S., Tuminaro, R., Darve, E., & Darve, E. (2019). SpaND: An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations [Conference Poster]. https://www.osti.gov/biblio/1641027 Publication ID: 69531
  • Boman, E., Cambier, L., Chen, C., Darve, E., Rajamanickam, S., Tuminaro, R., & Tuminaro, R. (2019). SpaND: An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations [Conference Poster]. https://www.osti.gov/biblio/1639964 Publication ID: 68433
  • Berger-Vergiat, L., Tuminaro, R., Ohm, P., & Ohm, P. (2019). Structured grid approach to accelerate multigrid on NGP [Conference Poster]. https://www.osti.gov/biblio/1639566 Publication ID: 67748
  • Rappaport, A., Shadid, J.N., Berger-Vergiat, L., Tuminaro, R., Chaudhry, J., & Chaudhry, J. (2019). Black Box Multigrid for MHD [Conference Poster]. https://www.osti.gov/biblio/1601930 Publication ID: 67068
  • Berger-Vergiat, L., Tuminaro, R., Hu, J., Siefert, C., & Siefert, C. (2019). A multigrid approach to solve hypersonic flow problems [Conference Poster]. https://www.osti.gov/biblio/1602113 Publication ID: 67099
  • Berger-Vergiat, L., Glusa, C., Hu, J., Siefert, C., Tuminaro, R., Matthias, M., Andrey, P., Tobias, W., & Tobias, W. (2019). MueLu User’s Guide. https://doi.org/10.2172/1491860 Publication ID: 64392
  • Tuminaro, R., Hu, J., Siefert, C., Berger-Vergiat, L., Mayr, M., & Mayr, M. (2019). Non-invasive Semi-Structured Multigrid on Advanced Architectures [Conference Poster]. https://www.osti.gov/biblio/1595907 Publication ID: 64466
  • Tuminaro, R., Berger-Vergiat, L., Hu, J., Siefert, C., Mayr, M., & Mayr, M. (2019). Non-invasive Semi-Structured Multigrid on Advanced Architectures [Conference Poster]. https://www.osti.gov/biblio/1595908 Publication ID: 64467
  • Becker, G., Siefert, C.M., Tuminaro, R., Sun, H., Valiveti, D.M., Mohan, A., Yin, J., Huang, H., & Huang, H. (2018). High resolution viscous fingering simulation in miscible displacement using a p-adaptive discontinuous Galerkin method with algebraic multigrid preconditioner. Journal of Computational Physics, 374, pp. 495-514. https://doi.org/10.1016/j.jcp.2018.07.003 Publication ID: 64074
  • Cambier, L., Chen, C., Darve, E., Boman, E., Rajamanickam, S., Tuminaro, R., & Tuminaro, R. (2018). An Algebraic Sparsified Nested Dissection Algorithm using Low-Rank Approximations [Conference Poster]. https://www.osti.gov/biblio/1574602 Publication ID: 60149
  • Tuminaro, R., Wiesner, T., Cyr, E., Shadid, J.N., & Shadid, J.N. (2018). Monolithic Multigrid for Multiphysics Applications Arising from Resistive MHD [Conference Poster]. https://www.osti.gov/biblio/1574277 Publication ID: 63482
  • Noble, D., Tuminaro, R., & Tuminaro, R. (2018). Applying Algebraic Multigrid Methods to Dynamic Enriched Conformal Decomposition Finite Element Methods for Multi-material Transport [Conference Poster]. https://www.osti.gov/biblio/1525943 Publication ID: 62449
  • Berger-Vergiat, L., Tuminaro, R., Ohm, P., & Ohm, P. (2018). Structured grid algorithms in MueLu [Conference Poster]. https://www.osti.gov/biblio/1506566 Publication ID: 61440
  • Hu, J., Berger-Vergiat, L., Tuminaro, R., & Tuminaro, R. (2018). Solvers for Hypersonic Flow Applications [Conference Poster]. https://www.osti.gov/biblio/1806942 Publication ID: 61558
  • Boman, E., Chen, C., Darve, E., Rajamanickam, S., Tuminaro, R., & Tuminaro, R. (2018). A Hierarchical Low-Rank Solver for Sparse Linear Systems and Its Variations [Conference Poster]. https://www.osti.gov/biblio/1498648 Publication ID: 60959
  • Mayr, M., Pasini, M., Berger-Vergiat, L., Tuminaro, R., & Tuminaro, R. (2018). A non-invasive matrix-based multigrid scheme for partially structured grids [Conference Poster]. https://www.osti.gov/biblio/1505279 Publication ID: 61374
  • Tuminaro, R., Berger-Vergiat, L., Mayr, M., Shadid, J.N., Cyr, E., Lupo Pasini, M., Ohm, P., & Ohm, P. (2018). Leveraging Application Structure Within Next Generation Multigrid Solvers [Conference Poster]. https://www.osti.gov/biblio/1497566 Publication ID: 60830
  • Tuminaro, R., Hu, J., Siefert, C., Berger-Vergiat, L., Mayr, M., & Mayr, M. (2018). Leveraging Problem Structure within Multilevel Solvers to Improve Robustness & Performance on Advanced Architectures [Presentation]. https://www.osti.gov/biblio/1497567 Publication ID: 60831
  • Prokopenko, A., Tuminaro, R., & Tuminaro, R. (2017). An algebraic multigrid method for Q2−Q1 mixed discretizations of the Navier–Stokes equations. Numerical Linear Algebra with Applications, 24(6). https://doi.org/10.1002/nla.2109 Publication ID: 50978
  • Carlberg, K.T., Guzzetti, S., Tuminaro, R., & Tuminaro, R. (2017). Multigrid Methods for Uncertainty Propagation in (large-scale) Networks via Domain Decomposition [Presentation]. https://www.osti.gov/biblio/1509633 Publication ID: 53310
  • Boman, E., Chen, C., Darve, E., Rajamanickam, S., Tuminaro, R., & Tuminaro, R. (2017). A Parallel Hierarchical Low-Rank Solver for General Sparse Matrices [Conference Poster]. https://www.osti.gov/biblio/1471958 Publication ID: 58520
  • Boman, E., Chen, C., Darve, E., Rajamanickam, S., Tuminaro, R., & Tuminaro, R. (2017). A Hierarchical Low-Rank Solver for Large Sparse Linear Systems [Conference Poster]. https://www.osti.gov/biblio/1471959 Publication ID: 58521
  • Tezaur, I., Watkins, J., Tuminaro, R., Demeshko, I., & Demeshko, I. (2017). Performance & Performance Portability of the Albany/FELIX Finite Element Land-Ice Solver [Conference Poster]. https://www.osti.gov/biblio/1469061 Publication ID: 58306
  • Tuminaro, R., Perego, M., Tezaur, I., Salinger, A., Price, S., & Price, S. (2017). Algebraic multigrid solvers for thin-domain problems: application to ice sheet modeling [Conference Poster]. https://www.osti.gov/biblio/1462652 Publication ID: 57648
  • Tuminaro, R., Noble, D., & Noble, D. (2017). An Algebraic Multigrid Approach to PDE Systems with Variable Degrees-of-Freedom Per Node [Conference Poster]. https://www.osti.gov/biblio/1427437 Publication ID: 55201
  • Tuminaro, R., Perego, M., Tezaur, I., Salinger, A., Price, S., & Price, S. (2017). An algebraic multigrid linear solver for extruded meshes: application to ice sheet simulation [Conference Poster]. https://www.osti.gov/biblio/1456365 Publication ID: 55543
  • Wiesner, T., Shadid, J.N., Cyr, E., Hu, J., Tuminaro, R., & Tuminaro, R. (2017). MueLu – a multigrid framework for multiphysics preconditioners [Conference Poster]. https://www.osti.gov/biblio/1456404 Publication ID: 55598
  • Wiesner, T., Tuminaro, R., Cyr, E., Shadid, J.N., Hu, J., & Hu, J. (2017). Multiphysics Preconditioning with the MueLu Multigrid Library [Conference Poster]. https://www.osti.gov/biblio/1458245 Publication ID: 54996
  • Boman, E., Chen, C., Darve, E., Rajamanickam, S., Tuminaro, R., & Tuminaro, R. (2017). Hierarchical Matrices and Low-Rank Methods for Extreme-Scale Solvers [Conference Poster]. https://www.osti.gov/biblio/1424840 Publication ID: 55059
  • Tezaur, I., Salinger, A., Perego, M., Tuminaro, R., Jakeman, J., Eldred, M., Watkins, J., Price, S., Demeshko, I., & Demeshko, I. (2017). The Albany/FELIX Land-Ice Dynamical Core [Presentation]. https://www.osti.gov/biblio/1416697 Publication ID: 52719
  • Tuminaro, R., Cyr, E., Shadid, J.N., Noble, D., Berger-Vergiat, L., Hu, J., Prokopenko, A., Siefert, C., Wiesner, T., Perego, M., Salinger, A., Tezaur, I., Price, S., & Price, S. (2016). Toward Robust Scalable Algebraic Multigrid Solvers [Presentation]. https://www.osti.gov/biblio/1406967 Publication ID: 47500
  • Tezaur, I., Salinger, A., Perego, M., Tuminaro, R., Price, S., Watkins, J., Hansen, G., & Hansen, G. (2016). The Albany/FELIX First-Order Stokes Finite Element Ice Sheet Dynamical Core Built Using Trilinos Software Components: Performance Next-Generation Capabilities and Validation [Conference Poster]. https://www.osti.gov/biblio/1392754 Publication ID: 52193
  • Carlberg, K.T., Forstall, V., Tuminaro, R., & Tuminaro, R. (2016). Krylov-Subspace Recycling via the POD-Augmented Conjugate Gradient Method [Conference Poster]. https://doi.org/10.1137/16M1057693 Publication ID: 51151
  • Phillips, E., Cyr, E., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2016). Block Preconditioners for Mixed Discretization MHD and Continuum Plasma Simulations Enabled by Teko [Conference Poster]. https://www.osti.gov/biblio/1373178 Publication ID: 51342
  • Shadid, J.N., Pawlowski, R., Cyr, E.C., Tuminaro, R., Chacón, L., Weber, P., & Weber, P. (2016). Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. Computer Methods in Applied Mechanics and Engineering, 304, pp. 1-25. https://doi.org/10.1016/j.cma.2016.01.019 Publication ID: 39906
  • Tuminaro, R., Perego, M., Tezaur, I., Salinger, A., & Salinger, A. (2016). A Scalable Solver Algorithm to Enable Sea-Level Rise Prediction using Agile Components [Presentation]. https://www.osti.gov/biblio/1368894 Publication ID: 50321
  • Wiesner, T., Shadid, J.N., Cyr, E., Tuminaro, R., Hu, J., & Hu, J. (2016). Multigrid framework for multiphysics problems [Conference Poster]. https://www.osti.gov/biblio/1368650 Publication ID: 50605
  • Tuminaro, R., Noble, D., Prokopenko, A., & Prokopenko, A. (2016). A Quasi-Algebraic Multigrid Approach to PDE systems with Variable Degrees-of-Freedom Per Node [Conference Poster]. https://www.osti.gov/biblio/1422052 Publication ID: 48964
  • Carlberg, K.T., Forstall, V., Tuminaro, R., & Tuminaro, R. (2016). Applying model reduction to Krylov subspace recycling [Conference Poster]. https://www.osti.gov/biblio/1364864 Publication ID: 49073
  • Adler, J.H., Benson, T.R., Cyr, E., Maclachlan, S.P., Tuminaro, R., & Tuminaro, R. (2016). Monolithic multigrid methods for two-dimensional resistive magnetohydrodynamics. SIAM Journal on Scientific Computing, 38(1), pp. B1-B24. https://doi.org/10.1137/151006135 Publication ID: 46200
  • Cyr, E., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2016). Teko: A block preconditioning capability with concrete example applications in Navier-Stokes and MHD. SIAM Journal on Scientific Computing, 38(5), pp. S307-S331. https://doi.org/10.1137/15M1017946 Publication ID: 46661
  • Tezaur, I., Salinger, A., Perego, M., Tuminaro, R., & Tuminaro, R. (2016). Component-based application code development, part 2: [Conference Poster]. https://www.osti.gov/biblio/1422149 Publication ID: 46706
  • Benson, T., Adler, J., Cyr, E., MacLachlan, S., Tuminaro, R., & Tuminaro, R. (2016). Monolithic Multigrid for a B-field Incompressible Resistive Magnetohydrodynamics Model [Conference Poster]. https://www.osti.gov/biblio/1341371 Publication ID: 46833
  • Carlberg, K.T., Forstall, V., Tuminaro, R., & Tuminaro, R. (2016). Krylov-subspace recycling via the POD-augmented conjugate-gradient method. SIAM Journal on Matrix Analysis and Applications, 37(3), pp. 1304-1336. https://doi.org/10.1137/16M1057693 Publication ID: 46919
  • Salinger, A., Bradley, A., Demeshko, I., Hansen, G., Perego, M., Phipps, E., Tezaur, I., Tuminaro, R., Granzow, B., Ibanez, D., Shephard, M., & Shephard, M. (2015). Albany: Integrating Algorithmic Components to Build Advanced Applications [Conference Poster]. https://www.osti.gov/biblio/1333895 Publication ID: 41716
  • Tezaur, I., Salinger, A., Perego, M., Tuminaro, R., & Tuminaro, R. (2015). Component-Based Application Code Development Part 2: Demonstration on a Land-Ice Model and Proposed Extension to Other Climate Components [Conference Poster]. https://www.osti.gov/biblio/1333792 Publication ID: 41729
  • Tezaur, I., Salinger, A., Perego, M., Jakeman, J., Eldred, M., Demeshko, I., Tuminaro, R., Price, S., & Price, S. (2015). Albany/FELIX: A Robust & Scalable Trilinos-Based Finite-Element Ice Flow Dycore Built for Advanced Architectures & Analysis [Conference Poster]. https://www.osti.gov/biblio/1301963 Publication ID: 44874
  • Tezaur, I., Perego, M., Tuminaro, R., Salinger, A., Jakeman, J., Eldred, M., Ju, L., Zhang, T., Gunzburger, M., Price, S., & Price, S. (2015). Progress on the PISCEES FELIX Ice Sheet Dynamical Cores [Presentation]. https://www.osti.gov/biblio/1576124 Publication ID: 44422
  • Siefert, C., Tuminaro, R., Becker, G., Sun, H., Yin, J., Huang, H., & Huang, H. (2015). Linear solver strategy for coupled and implicit discontinuous Galerkin method to model miscible displacement with adverse mobility ratio [Conference Poster]. https://www.osti.gov/biblio/1513572 Publication ID: 44588
  • Tuminaro, R., Prokopenko, A., & Prokopenko, A. (2015). Algebraic Multigrid Preconditioners for Q2-Q1 discretizations of the incompressi ble Navier-Stokes equations [Conference Poster]. https://www.osti.gov/biblio/1339228 Publication ID: 44666
  • Tezaur, I., Tuminaro, R., Perego, M., Salinger, A., Price, S., & Price, S. (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 [Conference Poster]. https://www.osti.gov/biblio/1258248 Publication ID: 43487
  • Tezaur, I., Salinger, A., Perego, M., Tuminaro, R., & Tuminaro, R. (2015). On the Development & Performance of a First Order Stokes Finite Element Ice Sheet Dycore Built Using Trilinos Software Components [Conference Poster]. https://www.osti.gov/biblio/1241279 Publication ID: 42386
  • Tuminaro, R., Tezaur, I., Perego, M., Salinger, A., Price, S., & Price, S. (2015). A Hybrid Operator Dependent MG / AMG Approach: Application to Ice Sheet Modeling [Conference Poster]. https://www.osti.gov/biblio/1331648 Publication ID: 42701
  • Carlberg, K., Tuminaro, R., Boggs, P., & Boggs, P. (2015). Preserving lagrangian structure in nonlinear model reduction with application to structural dynamics. SIAM Journal on Scientific Computing, 37(2), pp. B153-B184. https://doi.org/10.1137/140959602 Publication ID: 37096
  • Tezaur, I., Tuminaro, R., Perego, M., Salinger, A., Price, S.F., & Price, S.F. (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 [Conference Poster]. Procedia Computer Science. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84939183924&origin=inward Publication ID: 41199
  • Tezaur, I., Perego, M., Salinger, A., Tuminaro, R., Price, S., & Price, S. (2015). Update on the Albany/FELIX First Order Stokes Solver and the CISM-Albany and MPAS-Albany Dycores [Conference Poster]. https://www.osti.gov/biblio/1504179 Publication ID: 41372
  • Cyr, E., Shadid, J.N., Phillips, E., Tuminaro, R., Pawlowski, R., Lin, P., Chacon, L., & Chacon, L. (2014). Block Preconditioning for Multi-physics: From Jacobi to Schur Complements [Presentation]. https://www.osti.gov/biblio/1367654 Publication ID: 39432
  • Hu, J., Prokopenko, A., Wiesner, T., Siefert, C., Tuminaro, R., & Tuminaro, R. (2014). MueLu User’s Guid for Trilinos Version 11.12. https://doi.org/10.2172/1160320 Publication ID: 39120
  • Drohmann, M., Tuminaro, R., Boggs, P., Ray, J., van Bloemen Waanders, B., Carlberg, K.T., & Carlberg, K.T. (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
  • Tezaur, I., Salinger, A., Perego, M., Tuminaro, R., Price, S., & Price, S. (2014). An Update on the Albany/FELIX First- Order Stokes Finite Element Solver & Its Coupling to Land Ice Dycores [Presentation]. https://www.osti.gov/biblio/1497517 Publication ID: 37350
  • Tezaur, I., Salinger, A., Perego, M., Tuminaro, R., Jakeman, J., & Jakeman, J. (2014). FELIX: The Albany Ice Sheet Modeling Code [Conference]. https://www.osti.gov/biblio/1140457 Publication ID: 36741
  • Salinger, A., Perego, M., Tuminaro, R., & Tuminaro, R. (2014). The Albany/FELIX First Order Stokes Dycore [Conference]. https://www.osti.gov/biblio/1140556 Publication ID: 36966
  • Tuminaro, R., Hu, J., Prokopenko, A., Siefert, C., Tsuji, P., Boman, E., Cyr, E., Lin, P., Shadid, J.N., & Shadid, J.N. (2013). Amoritzing AMG Components Across Problem Sequences [Conference]. https://www.osti.gov/biblio/1106439 Publication ID: 35034
  • Prokopenko, A., Hu, J., Tuminaro, R., & Tuminaro, R. (2013). On Parallelization of Energy Minimizing Multigrid [Conference]. https://www.osti.gov/biblio/1113067 Publication ID: 34355
  • Shadid, J.N., Tuminaro, R., Pawlowski, R., & Pawlowski, R. (2013). Approximate Block Factorization Preconditioners for 2D and 3D Incompressible MHD [Conference]. https://www.osti.gov/biblio/1082629 Publication ID: 33926
  • Prokopenko, A., Hu, J., Tuminaro, R., & Tuminaro, R. (2013). Algebric Multigrid using Energy-Minimization in Parallel Setting [Conference]. https://www.osti.gov/biblio/1083709 Publication ID: 34065
  • Tuminaro, R., Boman, E., Hu, J., Prokopenko, A., Siefert, C., Tsuji, P., & Tsuji, P. (2013). Toward Flexible Scalable Algebraic Multigrid Solvers [Conference]. https://www.osti.gov/biblio/1083708 Publication ID: 34096
  • Salinger, A., Tezaur, I., Perego, M., Tuminaro, R., Eldred, M., Jakeman, J., & Jakeman, J. (2013). Rapid Development of an Ice Sheet Climate Application using the Components-Based Approach [Presentation]. https://www.osti.gov/biblio/1661056 Publication ID: 33356
  • Pawlowski, R., Cyr, E., Shadid, J.N., Tuminaro, R., Lin, P., & Lin, P. (2013). Performance of Efficient AMG Based Preconditioners for Implicit Resistive MHD [Conference]. https://www.osti.gov/biblio/1067808 Publication ID: 32385
  • Prokopenko, A., Hu, J., Tuminaro, R., & Tuminaro, R. (2013). Energy Minimization in Parallel Setting [Conference]. https://www.osti.gov/biblio/1145360 Publication ID: 32593
  • Salinger, A., Tuminaro, R., & Tuminaro, R. (2013). A New Unstructured Variable-Resolution Finite Element Ice Sheet Stress-Velocity Solver within the MPAS/Trilinos FELIX Dycore of PISCEES [Conference]. https://www.osti.gov/biblio/1145231 Publication ID: 32124
  • Tuminaro, R., Cyr, E., & Cyr, E. (2013). An Investigation of Multigrid Smoothers for Fully Implicit 2D Incompressible Resistive MHD [Conference]. https://www.osti.gov/biblio/1064306 Publication ID: 32215
  • Tuminaro, R., Boggs, P., & Boggs, P. (2013). Efficient structure-preserving model reduction for nonlinear mechanical systems with application to structural dynamics [Conference]. https://www.osti.gov/biblio/1145296 Publication ID: 32220
  • Tuminaro, R., Cyr, E., & Cyr, E. (2013). MULTIGRID SMOOTHERS FOR MAGNETOHYDRODYNAMICS [Conference]. https://www.osti.gov/biblio/1063505 Publication ID: 31470
  • Shadid, J.N., Tuminaro, R., Pawlowski, R., Lin, P., & Lin, P. (2012). Block Preconditioning for Multi-physics: From Jacobi to Schur Complements [Conference]. https://www.osti.gov/biblio/1072495 Publication ID: 30870
  • Shadid, J.N., Tuminaro, R., Pawlowski, R., & Pawlowski, R. (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
  • Lin, P., Shadid, J.N., Tuminaro, R., Hu, J., & Hu, J. (2012). Towards Scalable Algebraic Multigrid Preconditioners for Parallel Drift-Diffusion and Magnetohydrodynamic Simulations [Conference]. https://www.osti.gov/biblio/1116587 Publication ID: 29327
  • Gaidamour, J., Siefert, C., Tuminaro, R., & Tuminaro, R. (2012). MueLu – A Flexible Parallel Multigrid Framework [Conference]. https://www.osti.gov/biblio/1117538 Publication ID: 27573
  • Carlberg, K.T., Tuminaro, R., Boggs, P., & Boggs, P. (2012). Efficient structure-preserving model reduction for nonlinear mechanical systems with application to structural dynamics: presentation [Conference]. https://www.osti.gov/biblio/1067811 Publication ID: 27768
  • Tuminaro, R., Hu, J., & Hu, J. (2012). Energy Minimizing AMG for Problem Sequences: Adaptation to Applications and Advanced Architectures [Conference]. https://www.osti.gov/biblio/1068433 Publication ID: 27302
  • Tuminaro, R., Boggs, P., & Boggs, P. (2012). Efficient structure-preserving model reduction for nonlinear mechanical systems with application to structural dynamics [Conference]. https://www.osti.gov/biblio/1078622 Publication ID: 27371
  • Gerstenberger, A., Tuminaro, R., & Tuminaro, R. (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
  • Cyr, E.C., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2012). Stabilization and scalable block preconditioning for the Navier-Stokes equations. Journal of Computational Physics, 231(2), pp. 345-363. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=81455131488&origin=inward Publication ID: 24325
  • Gaidamour, J., Siefert, C., Tuminaro, R., Gerstenberger, A., & Gerstenberger, A. (2011). MueLu: A Framework for Developing Scalable Multigrid Preconditioners [Conference]. https://www.osti.gov/biblio/1111588 Publication ID: 25418
  • Lin, P., Shadid, J.N., Tuminaro, R., Hu, J., & Hu, J. (2011). HIgh Fidelity Semiconductor Device Simulations on Massively Parallel Platforms [Conference]. https://www.osti.gov/biblio/1118478 Publication ID: 25448
  • Gerstenberger, A., Tuminaro, R., & Tuminaro, R. (2011). Algebraic Multigrid Techniques for the eXtended Finite Element Method [Conference]. https://www.osti.gov/biblio/1107002 Publication ID: 24923
  • Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2011). Teko: A package for block preconditioning [Conference]. https://www.osti.gov/biblio/1118543 Publication ID: 25175
  • Hu, J., Gaidamour, J., Siefert, C., Tuminaro, R., & Tuminaro, R. (2011). Algebraic Multigrid for Systems of PDEs Based on Energy Minimization Principles [Conference]. https://www.osti.gov/biblio/1140298 Publication ID: 23525
  • Gaidamour, J., Hu, J., Tuminaro, R., Siefert, C., & Siefert, C. (2011). MueMat: a MATLAB Toolbox to Experiment with New Multigrid Preconditioners [Conference]. https://www.osti.gov/biblio/1140699 Publication ID: 23531
  • Lin, P., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2011). Performance of an AMG-Based Preconditioning Technique for Fully-Coupled Solution of Large-Scale Multiphysics Systems [Conference]. https://www.osti.gov/biblio/1140618 Publication ID: 23615
  • Gerstenberger, A., Tuminaro, R., & Tuminaro, R. (2011). Algebraic Multigrid Techniques for the eXtended Finite Element Method [Conference]. https://www.osti.gov/biblio/1106261 Publication ID: 23639
  • Gaidamour, J., Siefert, C., Tuminaro, R., & Tuminaro, R. (2011). Algebraic Multigrid using Energy-Minimization: a general framework to develop intergrid transfer operator [Conference]. https://www.osti.gov/biblio/1106994 Publication ID: 22682
  • Tuminaro, R., Gaidamour, J., Gerstenberger, A., Hu, J., Siefert, C., & Siefert, C. (2011). Leveraging flexibility in energy minimization algebraic multigrid [Conference]. https://www.osti.gov/biblio/1288862 Publication ID: 21858
  • Shadid, J.N., Pawlowski, R., Tuminaro, R., & Tuminaro, R. (2011). Approximate Block Factorization Preconditioners for Primitive Variable Incompressible Resistive MHD [Conference]. https://www.osti.gov/biblio/1108774 Publication ID: 21954
  • Gerstenberger, A., Tuminaro, R., & Tuminaro, R. (2011). Algebraic multigrid techniques for the extended finite element method [Conference]. https://www.osti.gov/biblio/1120570 Publication ID: 22015
  • Gaidamour, J., Hu, J., Siefert, C., Tuminaro, R., & Tuminaro, R. (2011). Designing an extensible framework for multigrid algorithm research [Conference]. https://www.osti.gov/biblio/1120626 Publication ID: 22122
  • Gaidamour, J., Tuminaro, R., Siefert, C., & Siefert, C. (2011). A General AMG Strategy for Addressing the Near Null-space Based on Energy Minimization [Conference]. https://www.osti.gov/biblio/1120893 Publication ID: 21557
  • Tuminaro, R., Phipps, E., & Phipps, E. (2011). ASSESSMENT OF COLLOCATION AND GALERKIN APPROACHES TO PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM DATA. International Journal of Uncertainty Quantification, 1(1). https://doi.org/10.1615/Int.J.UncertaintyQuantification.v1.i1.20 Publication ID: 21639
  • Tuminaro, R., Gaidamour, J., Gerstenberger, A., Siefert, C., & Siefert, C. (2011). Krylov Methods and Energy Minimization Algebraic Multigrid [Conference]. https://www.osti.gov/biblio/1109204 Publication ID: 21773
  • Tuminaro, R., Boman, E., & Boman, E. (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
  • Boman, E., Gerstenberger, A., Tuminaro, R., & Tuminaro, R. (2011). Progress on Ice Mechanics Modeling and Scalable Algorithms for Ice Fracture [Conference]. https://www.osti.gov/biblio/1140504 Publication ID: 21195
  • Tuminaro, R., Hu, J., Gaidamour, J., Siefert, C., Gerstenberger, A., & Gerstenberger, A. (2010). A flexible AMG framework centered on energy minimization [Conference]. https://www.osti.gov/biblio/1035650 Publication ID: 20938
  • Thornquist, H., Mei, T., Tuminaro, R., & Tuminaro, R. (2010). Solution methods for very highly integrated circuits. https://doi.org/10.2172/1011611 Publication ID: 21132
  • Tuminaro, R., Siefert, C., Hu, J., Gaidamour, J., & Gaidamour, J. (2010). Toward robust scalable algebraic multigrid solvers [Conference]. https://www.osti.gov/biblio/1028459 Publication ID: 20342
  • Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2010). Developing block preconditioners for multiphysics applications using the Trilinos package Teko [Conference]. https://www.osti.gov/biblio/1013781 Publication ID: 18312
  • Shadid, J.N., Tuminaro, R., Pawlowski, R., & Pawlowski, R. (2010). Approximate block factorization and physics-based preconditioning : application to CFD and MHD [Conference]. https://www.osti.gov/biblio/1003974 Publication ID: 17924
  • Tuminaro, R., Boman, E., & Boman, E. (2010). Modeling the fracture of ice sheets on parallel computers [Conference]. https://www.osti.gov/biblio/984088 Publication ID: 17359
  • Cyr, E., Shadid, J.N., Pawlowski, R., Tuminaro, R., & Tuminaro, R. (2010). Block Preconditioners for Fluid Flow and MHD [Conference]. https://www.osti.gov/biblio/1142042 Publication ID: 17647
  • Lin, P.T., Shadid, J.N., Sala, M., Tuminaro, R., Hennigan, G., Hoekstra, R., & Hoekstra, R. (2009). Performance of a parallel algebraic multilevel preconditioner for stabilized finite element semiconductor device modeling. Journal of Computational Physics, 228(17), pp. 6250-6267. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=67650355495&origin=inward Publication ID: 14438
  • Siefert, C., Tuminaro, R., Domino, S., Robinson, A., & Robinson, A. (2009). Highly scalable linear solvers on thousands of processors. https://doi.org/10.2172/993900 Publication ID: 16793
  • Tuminaro, R., Hu, J., Cyr, E., & Cyr, E. (2009). Energy Minimizing Algebraic Multigrid for Systems of Partial Differential Equations [Presentation]. https://www.osti.gov/biblio/1696844 Publication ID: 15859
  • Tuminaro, R., Hu, J., Siefert, C., & Siefert, C. (2009). Multilevel Project [Presentation]. https://www.osti.gov/biblio/1698386 Publication ID: 15592
  • Tuminaro, R., Shadid, J.N., & Shadid, J.N. (2008). Saddle-Point Preconditioners Based on Commutators [Conference]. https://www.osti.gov/biblio/1142508 Publication ID: 15299
  • Siefert, C., Hu, J., Tuminaro, R., Boman, E., Devine, K., & Devine, K. (2008). Partitioning for Multigrid Solvers [Conference]. https://www.osti.gov/biblio/1143232 Publication ID: 13916
  • Siefert, C., Tuminaro, R., Bochev, P., Boman, E., Devine, K., & Devine, K. (2008). Recent Algorithmic (and Practical) Developments in ML [Conference]. https://www.osti.gov/biblio/1145786 Publication ID: 13188
  • Tuminaro, R. (2008). Preconditioners Boundary Conditions for the Navier-Stokes Equations Based on Commutators [Conference]. https://www.osti.gov/biblio/1146185 Publication ID: 13202
  • Elman, H., Howle, V.E., Shadid, J.N., Shuttleworth, R., Tuminaro, R., & Tuminaro, R. (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
  • Siefert, C., Bochev, P., Hu, J., Tuminaro, R., & Tuminaro, R. (2008). Performance and Scalability in Computational Electromagnetics at Sandia [Presentation]. https://www.osti.gov/biblio/1713030 Publication ID: 12554
  • Siefert, C., Hu, J., Tuminaro, R., & Tuminaro, R. (2007). What’s New in ML? New Features in Trilinos 8.0 [Conference]. https://www.osti.gov/biblio/1147372 Publication ID: 11914
  • Siefert, C., Bochev, P., Tuminaro, R., Hu, J., & Hu, J. (2007). Algebraic Multigrid and a Compatible Gauge Reformulation of Maxwell’s Equations [Conference]. https://www.osti.gov/biblio/1146660 Publication ID: 12209
  • Tuminaro, R., Hu, J., & Hu, J. (2007). A New Smoothed Aggregation Multigrid Method for Anisotropic Problems. Journal of Computational Physics. https://www.osti.gov/biblio/1147337 Publication ID: 10901
  • Tuminaro, R., Schroder, J., & Schroder, J. (2007). Generalized Strength of Connection in Algebraic Multigrid [Presentation]. https://www.osti.gov/biblio/1721415 Publication ID: 10933
  • Tuminaro, R., Siefert, C., Bochev, P., & Bochev, P. (2007). Compatible Gauge Approaches for H(div) Equations [Presentation]. https://www.osti.gov/biblio/1721468 Publication ID: 11050
  • Domino, S., Tuminaro, R., Robinson, A., Hu, J., & Hu, J. (2007). High performance parallel multigrid for large-scale electromagnetics simulations [Conference]. https://www.osti.gov/biblio/1267112 Publication ID: 9073
  • Bochev, P., Tuminaro, R., Hu, J., & Hu, J. (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
  • Siefert, C., Bochev, P., Hu, J., Tuminaro, R., & Tuminaro, R. (2007). Algebraic Multigrid and Algebraic Reformulations of the Eddy Current Equations [Conference]. https://www.osti.gov/biblio/1143320 Publication ID: 8957
  • Sala, M., Lin, P., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2007). Algebraic multilevel preconditioners for nonsymmetric PDEs on stretched grids [Conference]. Lecture Notes in Computational Science and Engineering. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84880391099&origin=inward Publication ID: 5335
  • Siefert, C., Tuminaro, R., Hu, J., & Hu, J. (2006). What’s new in ML?: new features in Trilinos 7.0 [Conference]. https://www.osti.gov/biblio/899085 Publication ID: 8328
  • Howle, V.E., Shuttleworth, R., Tuminaro, R., & Tuminaro, R. (2006). Meros [Conference]. https://www.osti.gov/biblio/1264547 Publication ID: 8340
  • Tuminaro, R., Bochev, P., Hu, J., & Hu, J. (2006). AMG and a Discrete Reformulation for Maxwell’s Equations [Presentation]. https://www.osti.gov/biblio/1724653 Publication ID: 8225
  • Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2006). Performance of AMG-type preconditioners for fully-coupled solution of FE Transport/Reaction Simulations [Conference]. https://www.osti.gov/biblio/1264651 Publication ID: 8244
  • Tuminaro, R., Hu, J., Siefert, C., & Siefert, C. (2006). Generalizing Smoothed Aggregation on Algebraic Multigrid [Presentation]. https://www.osti.gov/biblio/1725736 Publication ID: 7853
  • Tuminaro, R., Shadid, J.N., Hoekstra, R., Hennigan, G., & Hennigan, G. (2006). A multilevel preconditioner for FEM modeling of semiconductor devices [Conference]. https://www.osti.gov/biblio/893159 Publication ID: 7502
  • Howle, V.E., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (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
  • Gee, M., Tuminaro, R., & Tuminaro, R. (2006). Nonlinear algebraic multigrid for constrained solid mechanics problems using Trilinos. https://doi.org/10.2172/883128 Publication ID: 7015
  • Arbenz, P., Hetmaniuk, U., Lehoucq, R., Tuminaro, R., & Tuminaro, R. (2005). A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods. International Journal for Numerical Methods in Engineering, 64(2), pp. 204-236. https://doi.org/10.1002/nme.1365 Publication ID: 4329
  • Sala, M., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (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
  • Gee, M., Tuminaro, R., Pierson, K.H., & Pierson, K.H. (2005). Nonlinear nearly matrix-free algebraic multigrid for solid mechanics [Conference]. https://www.osti.gov/biblio/1021121 Publication ID: 5179
  • Shadid, J.N., Salinger, A., Pawlowski, R., Lin, P., Hennigan, G., Tuminaro, R., Lehoucq, R., & Lehoucq, R. (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
  • Sala, M., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2005). Performance of multilevel preconditioners for stabilized finite element discretizations of transport/reaction systems [Conference]. https://www.osti.gov/biblio/946958 Publication ID: 4643
  • Sala, M., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2005). Performance of multilevel domain decomposition preconditioners for finite element transport/reaction systems [Conference]. https://www.osti.gov/biblio/945898 Publication ID: 4292
  • Shadid, J.N., Salinger, A., Pawlowski, R., Lin, P., Hennigan, G., Tuminaro, R., Lehoucq, R., & Lehoucq, R. (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
  • Sala, M., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (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
  • Sala, M., Tuminaro, R., Hu, J., & Hu, J. (2004). ML 3.1 smoothed aggregation user’s guide. https://doi.org/10.2172/974895 Publication ID: 3697
  • Shadid, J.N., Tuminaro, R., Sala, M., & Sala, M. (2004). A smoother aggregation preconditioner for the solution of non-symmetric linear systems [Conference]. https://www.osti.gov/biblio/972890 Publication ID: 3699
  • Lin, P., Sala, M., Shadid, J.N., Tuminaro, R., & Tuminaro, R. (2004). Performance of multilevel preconditioners for incompressible flow with transport [Conference]. https://www.osti.gov/biblio/957685 Publication ID: 3504
  • Tuminaro, R., Shadid, J.N., & Shadid, J.N. (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
  • Sala, M., Hu, J., Tuminaro, R., & Tuminaro, R. (2004). ML 3.0 smoothed aggregation user’s guide. https://doi.org/10.2172/919154 Publication ID: 2954
  • Tuminaro, R., Shadid, J.N., & Shadid, J.N. (2004). The generalized global basis (GGB) method. Proposed for publication in IJNME.. https://www.osti.gov/biblio/876254 Publication ID: 2993
  • Sala, M., Hu, J., Tuminaro, R., & Tuminaro, R. (2004). ML 3.1 developer’s guide. https://doi.org/10.2172/974885 Publication ID: 3698
  • Shadid, J.N., Tuminaro, R., Devine, K., Hennigan, G., Lin, P., & Lin, P. (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
  • Heroux, M., Kolda, T., Long, K., Hoekstra, R., Pawlowski, R., Phipps, E., Salinger, A., Williams, A., Heroux, M., Hu, J., Lehoucq, R., Thornquist, H., Tuminaro, R., Willenbring, J.M., Bartlett, R., Howle, V.E., & Howle, V.E. (2003). An overview of Trilinos. https://doi.org/10.2172/918383 Publication ID: 2497
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