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Author ID: tuminaro.ray-s Recent zbMATH articles by "Tuminaro, Ray S."
Published as: Tuminaro, Ray S.; Tuminaro, Ray; Tuminaro, R. S.

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 717 times in 579 Documents Cited by Year
An overview of the Trilinos project. Zbl 1136.65354
Heroux, Michael A.; Bartlett, Roscoe A.; Howle, Vicki E.; Hoekstra, Robert J.; Hu, Jonathan J.; Kolda, Tamara G.; Lehoucq, Richard B.; Long, Kevin R.; Pawlowski, Roger P.; Phipps, Eric T.; Salinger, Andrew G.; Thornquist, Heidi; Tuminaro, Ray S.; Willenbring, James M.; Williams, Alan; Stanley, Kendall S.
252
2005
Block preconditioners based on approximate commutators. Zbl 1100.65042
Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray
76
2006
A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023
Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray
68
2008
Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. Zbl 1320.65193
Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul
54
2015
Parallel multigrid smoothing: Polynomial versus Gauss–Seidel. Zbl 1022.65030
Adams, Mark; Brezina, Marian; Hu, Jonathan; Tuminaro, Ray
50
2003
Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. Zbl 1425.76312
Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S.
44
2010
Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. Zbl 1423.76275
Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D.
31
2016
An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066
Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F.
27
1997
Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods. Zbl 1242.74094
Berger-Vergiat, Luc; Waisman, Haim; Hiriyur, Badri; Tuminaro, Ray; Keyes, David
26
2012
Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport. Zbl 1110.76315
Lin, Paul T.; Sala, Marzio; Shadid, John N.; Tuminaro, Ray S.
25
2006
Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations. Zbl 1087.76069
Shadid, J. N.; Tuminaro, R. S.; Devine, K. D.; Hennigan, G. L.; Lin, P. T.
25
2005
Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539
Elman, Howard C.; Tuminaro, Ray S.
24
2009
Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326
Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray
24
2007
A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058
Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S.
18
2003
On a multilevel preconditioning module for unstructured mesh Krylov solvers: Two-level Schwarz. Zbl 0999.65101
Tuminaro, R. S.; Tong, C. H.; Shadid, J. N.; Devine, K. D.; Day, D. M.
18
2002
A quasi-algebraic multigrid approach to fracture problems based on extended finite elements. Zbl 1390.74181
Hiriyur, B.; Tuminaro, R. S.; Waisman, H.; Boman, E. G.; Keyes, D. E.
17
2012
Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems. Zbl 1178.76240
Shadid, J. N.; Salinger, A. G.; Pawlowski, R. P.; Lin, P. T.; Hennigan, G. L.; Tuminaro, R. S.; Lehoucq, R. B.
16
2006
Krylov-subspace recycling via the POD-augmented conjugate-gradient method. Zbl 1348.15005
Carlberg, Kevin; Forstall, Virginia; Tuminaro, Ray
13
2016
A multigrid preconditioner for the semiconductor equations. Zbl 0845.35122
Meza, Juan C.; Tuminaro, Ray S.
9
1996
A comparison of preconditioned nonsymmetric Krylov methods on a large- scale MIMD machine. Zbl 0798.65047
Shadid, John N.; Tuminaro, Ray S.
9
1994
Monolithic multigrid methods for magnetohydrodynamics. Zbl 1490.76133
Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S.
7
2021
Auxiliary space preconditioners for mixed finite element methods. Zbl 1183.65151
Tuminaro, Ray S.; Xu, Jinchao; Zhu, Yunrong
6
2009
An improved convergence bound for aggregation-based domain decomposition preconditioners. Zbl 1105.65116
Sala, Marzio; Shadid, John N.; Tuminaro, Ray S.
6
2005
Performance of a Petrov – Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations. Zbl 1202.82003
Lin, Paul T.; Shadid, John N.; Tuminaro, Ray S.; Sala, Marzio
5
2010
Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Zbl 1071.65556
Giraud, L.; Guevara Vasquez, F.; Tuminaro, R. S.
4
2003
A highly parallel multigrid-like method for the solution of the Euler equations. Zbl 0742.76068
Tuminaro, Ray S.
4
1992
Augmented AMG-shifted Laplacian preconditioners for indefinite Helmholtz problems. Zbl 1374.65039
Tsuji, P.; Tuminaro, R.
4
2015
Parallel sparse matric vector multiply software for matrices with data locality. Zbl 0906.68045
Tuminaro, Ray S.; Shadid, John N.; Hutchinson, Scott A.
3
1998
Schur complement preconditioners for anisotropic problems. Zbl 0923.65085
Giraud, Luc; Tuminaro, Ray S.
3
1999
A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling. Zbl 1351.65095
Tuminaro, R.; Perego, M.; Tezaur, I.; Salinger, A.; Price, S.
3
2016
Noninvasive multigrid for semistructured grids. Zbl 1507.65278
Mayr, Matthias; Berger-Vergiat, Luc; Ohm, Peter; Tuminaro, Ray S.
3
2022
Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies. Zbl 1164.65519
Douglas, C. C.; Hu, J.; Ray, J.; Thorne, D. T.; Tuminaro, R. S.
2
2004
Design and implementation of parallel multigrid algorithms. Zbl 0652.65076
Chan, Tony F.; Tuminaro, Ray S.
1
1988
Noninvasive multigrid for semistructured grids. Zbl 1507.65278
Mayr, Matthias; Berger-Vergiat, Luc; Ohm, Peter; Tuminaro, Ray S.
3
2022
Monolithic multigrid methods for magnetohydrodynamics. Zbl 1490.76133
Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S.
7
2021
Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. Zbl 1423.76275
Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D.
31
2016
Krylov-subspace recycling via the POD-augmented conjugate-gradient method. Zbl 1348.15005
Carlberg, Kevin; Forstall, Virginia; Tuminaro, Ray
13
2016
A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling. Zbl 1351.65095
Tuminaro, R.; Perego, M.; Tezaur, I.; Salinger, A.; Price, S.
3
2016
Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. Zbl 1320.65193
Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul
54
2015
Augmented AMG-shifted Laplacian preconditioners for indefinite Helmholtz problems. Zbl 1374.65039
Tsuji, P.; Tuminaro, R.
4
2015
Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods. Zbl 1242.74094
Berger-Vergiat, Luc; Waisman, Haim; Hiriyur, Badri; Tuminaro, Ray; Keyes, David
26
2012
A quasi-algebraic multigrid approach to fracture problems based on extended finite elements. Zbl 1390.74181
Hiriyur, B.; Tuminaro, R. S.; Waisman, H.; Boman, E. G.; Keyes, D. E.
17
2012
Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. Zbl 1425.76312
Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S.
44
2010
Performance of a Petrov – Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations. Zbl 1202.82003
Lin, Paul T.; Shadid, John N.; Tuminaro, Ray S.; Sala, Marzio
5
2010
Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539
Elman, Howard C.; Tuminaro, Ray S.
24
2009
Auxiliary space preconditioners for mixed finite element methods. Zbl 1183.65151
Tuminaro, Ray S.; Xu, Jinchao; Zhu, Yunrong
6
2009
A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023
Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray
68
2008
Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326
Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray
24
2007
Block preconditioners based on approximate commutators. Zbl 1100.65042
Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray
76
2006
Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport. Zbl 1110.76315
Lin, Paul T.; Sala, Marzio; Shadid, John N.; Tuminaro, Ray S.
25
2006
Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems. Zbl 1178.76240
Shadid, J. N.; Salinger, A. G.; Pawlowski, R. P.; Lin, P. T.; Hennigan, G. L.; Tuminaro, R. S.; Lehoucq, R. B.
16
2006
An overview of the Trilinos project. Zbl 1136.65354
Heroux, Michael A.; Bartlett, Roscoe A.; Howle, Vicki E.; Hoekstra, Robert J.; Hu, Jonathan J.; Kolda, Tamara G.; Lehoucq, Richard B.; Long, Kevin R.; Pawlowski, Roger P.; Phipps, Eric T.; Salinger, Andrew G.; Thornquist, Heidi; Tuminaro, Ray S.; Willenbring, James M.; Williams, Alan; Stanley, Kendall S.
252
2005
Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations. Zbl 1087.76069
Shadid, J. N.; Tuminaro, R. S.; Devine, K. D.; Hennigan, G. L.; Lin, P. T.
25
2005
An improved convergence bound for aggregation-based domain decomposition preconditioners. Zbl 1105.65116
Sala, Marzio; Shadid, John N.; Tuminaro, Ray S.
6
2005
Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies. Zbl 1164.65519
Douglas, C. C.; Hu, J.; Ray, J.; Thorne, D. T.; Tuminaro, R. S.
2
2004
Parallel multigrid smoothing: Polynomial versus Gauss–Seidel. Zbl 1022.65030
Adams, Mark; Brezina, Marian; Hu, Jonathan; Tuminaro, Ray
50
2003
A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058
Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S.
18
2003
Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Zbl 1071.65556
Giraud, L.; Guevara Vasquez, F.; Tuminaro, R. S.
4
2003
On a multilevel preconditioning module for unstructured mesh Krylov solvers: Two-level Schwarz. Zbl 0999.65101
Tuminaro, R. S.; Tong, C. H.; Shadid, J. N.; Devine, K. D.; Day, D. M.
18
2002
Schur complement preconditioners for anisotropic problems. Zbl 0923.65085
Giraud, Luc; Tuminaro, Ray S.
3
1999
Parallel sparse matric vector multiply software for matrices with data locality. Zbl 0906.68045
Tuminaro, Ray S.; Shadid, John N.; Hutchinson, Scott A.
3
1998
An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066
Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F.
27
1997
A multigrid preconditioner for the semiconductor equations. Zbl 0845.35122
Meza, Juan C.; Tuminaro, Ray S.
9
1996
A comparison of preconditioned nonsymmetric Krylov methods on a large- scale MIMD machine. Zbl 0798.65047
Shadid, John N.; Tuminaro, Ray S.
9
1994
A highly parallel multigrid-like method for the solution of the Euler equations. Zbl 0742.76068
Tuminaro, Ray S.
4
1992
Design and implementation of parallel multigrid algorithms. Zbl 0652.65076
Chan, Tony F.; Tuminaro, Ray S.
1
1988
all top 5

Cited by 1,202 Authors

22 Shadid, John N.
20 Kronbichler, Martin
13 Heltai, Luca
12 Wall, Wolfgang A.
11 Badia, Santiago
11 Heister, Timo
11 Pelteret, Jean-Paul
11 Tuminaro, Raymond S.
10 Bangerth, Wolfgang
10 Carlberg, Kevin T.
10 Cyr, Eric C.
10 Pawlowski, Roger P.
10 Shang, Yueqiang
10 Vuik, Cornelis
9 Lin, Paul T.
9 MacLachlan, Scott P.
9 Maier, Matthias Sebastian
9 Manzoni, Andrea
9 Quarteroni, Alfio M.
9 Turcksin, Bruno
8 Arndt, Daniel
7 Davydov, Denis
7 Heinlein, Alexander
7 Klawonn, Axel
7 Phipps, Eric T.
6 Benzi, Michele
6 Coutinho, Alvaro L. G. A.
6 Deparis, Simone
6 Gravemeier, Volker
6 Hesthaven, Jan S.
6 Hu, Jonathan Joseph
6 Martín, Alberto F.
6 Notay, Yvan
6 Phillips, Edward G.
6 Tuminaro, Ray S.
6 Verdugo, Francesc
6 Wheeler, Mary Fanett
6 Wick, Thomas
5 Adler, James H.
5 Cai, Xiao-Chuan
5 Elman, Howard C.
5 Fehling, Marc
5 Ferronato, Massimiliano
5 Hu, Xiaozhe
5 John, Volker
5 Karasözen, Bülent
5 Kirby, Robert C.
5 Knoll, Dana A.
5 Munch, Peter
5 Rheinbach, Oliver
5 Rivière, Beatrice M.
5 Roberts, Nathan V.
5 Uzunca, Murat
4 Arbenz, Peter
4 Barbieri, Luca
4 Brunton, Steven L.
4 Castelletto, Nicola
4 Dal Santo, Niccolò
4 Evans, Thomas M.
4 Farrell, Patrick Emmet
4 Gee, Michael W.
4 Hennigan, Gary L.
4 Howle, Victoria E.
4 Jolivet, Pierre
4 Keyes, David Elliot
4 Klaij, Christiaan M.
4 Malgesini, Roberto
4 Mitchell, Lawrence
4 Olshanskii, Maxim A.
4 Pagliantini, Cecilia
4 Perego, Mauro
4 Ruiz-Baier, Ricardo
4 Steinmann, Paul
4 Tezaur, Irina
4 Thiele, Christopher
4 Villa, Andrea
4 Waisman, Haim
4 White, Joshua A.
3 Afkham, Babak Maboudi
3 Aulisa, Eugenio
3 Babuška, Ivo
3 Ballard, Grey M.
3 Banerjee, Uday
3 Barone, Matthew F.
3 Berger-Vergiat, Luc
3 Bochev, Pavel B.
3 Bordas, Stéphane Pierre Alain
3 Camata, Jose J.
3 Chacón, Luis
3 Constantine, Paul G.
3 D’Ambra, Pasqua
3 de Prenter, Frits
3 D’Elia, Marta
3 Demkowicz, Leszek F.
3 di Serafino, Daniela
3 Fabien, Maurice S.
3 Feder, Marco
3 Filippone, Salvatore
3 Franceschini, Andrea
3 Garikipati, Krishna
...and 1,102 more Authors
all top 5

Cited in 91 Serials

97 Journal of Computational Physics
85 Computer Methods in Applied Mechanics and Engineering
72 SIAM Journal on Scientific Computing
22 Computers & Mathematics with Applications
17 Computers and Fluids
17 International Journal for Numerical Methods in Engineering
14 Journal of Computational and Applied Mathematics
13 Computational Mechanics
12 Applied Mathematics and Computation
10 International Journal for Numerical Methods in Fluids
10 Applied Numerical Mathematics
9 Journal of Scientific Computing
9 Journal of Numerical Mathematics
8 BIT
8 Numerical Linear Algebra with Applications
7 Computer Physics Communications
7 Journal of Fluid Mechanics
7 Numerische Mathematik
7 Computational Geosciences
7 Archives of Computational Methods in Engineering
6 Numerical Algorithms
6 Communications in Computational Physics
5 ACM Transactions on Mathematical Software
4 Computing and Visualization in Science
3 Mathematics of Computation
3 Bulletin of Mathematical Biology
3 Mathematics and Computers in Simulation
3 Numerical Methods for Partial Differential Equations
3 SIAM Journal on Matrix Analysis and Applications
3 Advances in Computational Mathematics
3 GAMM-Mitteilungen
2 Journal of Engineering Mathematics
2 Theoretical and Computational Fluid Dynamics
2 Computing
2 SIAM Journal on Numerical Analysis
2 Applications of Mathematics
2 International Journal of Computer Mathematics
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 ETNA. Electronic Transactions on Numerical Analysis
2 Mathematical Problems in Engineering
2 International Journal of Computational Fluid Dynamics
2 European Journal of Mechanics. A. Solids
2 Engineering Computations
2 Computational Methods in Applied Mathematics
2 Multiscale Modeling & Simulation
2 Acta Numerica
2 International Journal of Parallel, Emergent and Distributed Systems
2 SMAI Journal of Computational Mathematics
1 International Journal of Heat and Mass Transfer
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Applied Mathematics and Optimization
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Applied Mathematics Letters
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 Applicable Algebra in Engineering, Communication and Computing
1 Computational Optimization and Applications
1 Communications in Numerical Methods in Engineering
1 Journal of Inverse and Ill-Posed Problems
1 Journal of Computational Neuroscience
1 Engineering Analysis with Boundary Elements
1 Mathematics and Mechanics of Solids
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Chaos
1 Journal of Mathematical Fluid Mechanics
1 International Journal of Applied Mathematics and Computer Science
1 Combustion Theory and Modelling
1 Journal of Turbulence
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Inverse Problems in Science and Engineering
1 Communications in Applied Mathematics and Computational Science
1 Networks and Heterogeneous Media
1 Advances in Applied Mathematics and Mechanics
1 International Journal for Numerical Methods in Biomedical Engineering
1 GEM - International Journal on Geomathematics
1 The Journal of Mathematical Neuroscience
1 Journal of Mathematics in Industry
1 Communications in Applied and Industrial Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 ISRN Applied Mathematics
1 Journal of Computational Dynamics
1 East Asian Journal on Applied Mathematics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Mathematics in Engineering
1 Journal of Computational and Theoretical Transport
1 Journal of Computational Physics: X

Citations by Year