Some Recent Publications
Ray S. Tuminaro
- J. Hu,
R. Tuminaro,P. Bochev,C. Garasi, and A. Robinson.
Toward an H-Independent Algebraic Multigrid Method for Maxwell's Equations,
to appear in SIAM J. Sci. Comput., 2006.
- H. Elman, V. Howle, J. Shadid and R. Shuttleworth
and R. Tuminaro.
Block Preconditioners Based on Approximate Commutators,
to appear in SIAM J. Sci. Comput., 2006.
- J. Shadid,
A. Salinger, R. Pawlowski, P. Lin, G. Hennigan,
R. Tuminaro, and R. Lehoucq.
Large-Scale Stabilized FE Computational Analysis
of Nonlinear Steady State Transport/Reaction Systems,
to appear in CMAME , 2006.
- E. Chow,
R. Falgout, J. Hu, R. Tuminaro and U. Meier Yang.
A Survey of Parallelization Techniques for Multigrid Solvers,
to appear in Frontiers of Parallel Processing For Scientific Computing, SIAM book series , 2006.
- P. Arbenz, U. Hetmaniuk, R. Lehoucq,
and R. Tuminaro.
A Comparison of Eigensolvers for Large-scale 3D Modal Analysis Using AMG-Preconditioned Iterative Methods,
to appear in Int. J. Numer. Meth. Engng, 2006.
-
M. Sala, J. Shadid, and R. Tuminaro.
An Improved Convergence Bound for Aggregation-Based Domain Decomposition
Preconditioners,
to appear in SIAM J. Matrix Anal., 2006.
- P. Lin, M. Sala,
J. Shadid, and R. Tuminaro.
Performance of Fully-Coupled Algebraic Multilevel Domain Decomposition
Preconditioners for Incompressible Flow and Transport,
to appear in Int. J. Numer. Meth. Engng, 2006.
- J. Shadid, R. Tuminaro,
K. Devine, G. Hennigan, and P. Lin.
Performance of Fully-Coupled Domain Decomposition Preconditioners for Finite
Element Transport/Reaction Simulations,
J. of Comput. Physics, Vol 205, 1, 24-47 , 2005.
- H. Waisman, J. Fish, R. Tuminaro,
and J. Shadid.
Acceleration of the Generalized Global Basis (GGB) Method for Nonlinear Problems,
J. Comput. Physics, Vol. 210, 1, 274-291, 2005.
- P. Lin, M. Sala,
J. Shadid, and R. Tuminaro.
Performance of a Geometric and an Algebraic Multilevel Preconditioner
for Incompressible Flow and Transport,
WCCM6 conference proceedings, 2004.
- C. Douglas, J. Hu, J. Ray, D. Thorne and R. Tuminaro.
Cache Aware Multigrid for Variable Coefficient Elliptic Problems on Adaptive Mesh Refinement Hierarchies ,
Numer. Linear Algebra Appl.,11,173-187 , 2004.
- H. Waisman, J. Fish, R. Tuminaro,
and J. Shadid.
The Generalized Global Basis (GGB) Method,
Int. J. Numer. Meth. Engng, 61 (8), 1243-1269, 2004.
- L. Giraud, F. Guevara
Vasquez, and R. Tuminaro.
Grid transfer operators for highly variable coefficient problems in two-level
non-overlapping domain decomposition methods,
Numer. Linear Algebra Appl., 10, 467-484, 2003.
- P. Bochev , C. Garasi, J. Hu ,
A. Robinson and R. Tuminaro.
An Improved Algebraic Multigrid Method for Solving Maxwell's Equations,
SIAM J. Sci. Computing, 25, 2, 623-642 , 2003.
- P. Bochev, J. Hu, A. Robinson,
and R. Tuminaro.
Towards robust 3D Z-pinch simulations: discretization and fast solvers for
magnetic diffusion in heterogeneous conductors,
Elec. Trans. Numer. Analysis, 15, 2003.
- M. Adams , M. Brezina, J. Hu
and R. Tuminaro.
Parallel Multigrid Smoothing: Polynomial versus Gauss-Seidel,
JCP, 188/2, 593-610 , 2003.
- H. Elman, V. Howle, J. Shadid
and R. Tuminaro.
A Parallel Block Preconditioner for the Three-Dimensional Incompressible
Navier-Stokes Equations,
J. Comput. Physics, Vol. 187, 2, 504-523, 2003.
- M. Heroux, R. Bartlett, V. Howle,
R. Hoekstra, J. Hu, T. Kolda, R.
Lehoucq, K. Long, R. Pawlowski, E. Phipps,
A. Salinger, H. Thornquist, R. Tuminaro, J.
Willenbring and A. Williams.
An Overview of Trilinos,
Technical Report SAND2003-2927, Sandia National Laboratories, August 2003.
- R. Tuminaro, H. Walker, and J. Shadid.
On backtracking failure in newton-gmres methods with a demonstration for the Navier-Stokes equations,
J. Comput. Physics, Vol. 180, 549-558, 2002.
- R. Tuminaro, C. Tong,
J. Shadid, K. Devine, and D. Day.
On a multilevel preconditioning module for unstructured mesh krylov solvers:
Two-level schwarz,
Comm. Num. Meth. Eng., 18, 363-389, 2002.
- C. Douglas, J. Hu, J. Ray, D. Thorne and R. Tuminaro.
Fast, Adaptively Refined Computational Elements in 3D,
in Proc of Int Conf on Sci Comp, Springer-Verlag, 2002.
- R. Tuminaro and
C. Tong.
Parallel smoothed aggregation multigrid: Aggregation strategies on massively
parallel machines,
In J. Donnelley, editor, SuperComputing 2000 Proceedings, 2000.
- M. Sala, J. Hu
and R. S. Tuminaro.
ML 3.1 smoothed aggregation user's guide,
Technical Report SAND2004-4819, Sandia National Laboratories, December 2004.
- L. Giraud and R. S.
Tuminaro.
Schur complement preconditioners for anisotropic problems,
IMA J. Numerical Analysis, 19(1):1-17, 1999.
- R. Tuminaro, M. Heroux,
S. Hutchinson, and J. Shadid.
Official Aztec user's guide: Version 2.1,
Technical Report Sand99-8801J, Sandia National Laboratories, Albuquerque NM,
87185, Nov 1999.