Publications
-
M. Sala.
An Object-Oriented Framework for the Development of Scalable Parallel
Multilevel Preconditioners.
ACM Transactions on Mathematical Software, 32 (3), 2006.
(doi link)
-
Peter Arbenz, Harry van Lenthe, Uche Mennel, Ralph Muller, Marzio Sala.
Multi-level $\mu$-Finite Element Analysis for Human Bone Structures.
Submitted to the Proceeding of the PARA'06 conference, Umea, Sweden June 2006.
- P. Lin, M. Sala, J. Shadid, and R. Tuminaro.
Performance of Fully-Coupled Algebraic Multilevel Domain Decomposition
Preconditioners for Incompressible Flow and Transport.
Int. J. Numer. Meth. Engng, Vol. 67, Issue 2, p. 208-225, 2006.
(doi link)
- J. Hu , R. Tuminaro , P. Bochev , C. Garasi, and
A. Robinson.
Toward an $h$-independent Algebraic Multigrid Method for Maxwell's
Equations.
Siam Journal on Scientific Computing, Vol. 27, Issue 5, p.
1669-1688, 2006. (doi link)
- M. Sala, J. Shadid, and R. Tuminaro.
An Improved Convergence Bound for Aggregation-Based Domain
Decomposition Preconditioners.
SIAM Journal on Matrix Analysis and Applications Vol. 27, Number 3 p.
744-756, 2005.
(doi link)
- M. Sala, P. Lin, R. Tuminaro, and J. Shadid.
Algebraic Multilevel Preconditioners for non-symmetric PDEs on
Stretched Grids.
Proceeding of the 16th Domain Decomposition Conference,
New York, USA, 2005. To appear in Springer Lecture Notes in
Computational Science and Engineering.
-
H. Waisman, J. Fish, R. Tuminaro, and J. Shadid.
Acceleration of the generalized global basis (GGB) method for nonlinear
problems.
Journal of Computational Physics, Vol. 210 (1), p. 274-291
, 2005.
(doi link)
- M. Sala.
Analysis of Two-level Domain Decomposition Preconditioners Based
on Aggregation.
Mathematical Modelling and Numerical Analysis, Vol. 38 (5),
p. 765--780, 2004.
(doi link)
- P. Bochev , C. Garasi, J. Hu ,
A Robinson and R. Tuminaro.
An Improved Algebraic Multigrid Method for Solving Maxwell's Equations.
Siam Journal on Scientific Computing, 25, 623-642, 2003.
(paper,
doi link)
- 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 (2-3), p. 173-187, 2004.
(paper,
doi link)
- H. Waisman, J. Fish, R. Tuminaro,
and J. Shadid.
The Generalized Global Basis (GGB) Method.
Int. J. Numer. Meth. Engng, Vol. 61 (8): 1243-1269, October 2004.
(doi link)
- 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.
(paper)
- 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.
(paper,
journal)
- M. Adams , M. Brezina, J. Hu
and R. Tuminaro.
Parallel Multigrid Smoothing: Polynomial versus Gauss-Seidel.
JCP, Vol. 188 (2), 593-610 , 2003.
(paper,
doi link)
- H. Elman, V. Howle, J. Shadid
and R. Tuminaro.
A Parallel Block Preconditioner for the Three-Dimensional Incompressible
Navier-Stokes Equations.
JCP, Vol. 187 (2), 504-523, 2003.
(paper)
- 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.
(paper)
- R. Tuminaro, H. Walker, and J. Shadid.
On backtracking failure in newton-gmres methods with a demonstration for the
Navier-Stokes equations.
JCP, Vol. 180 (2), p. 549-558, 2002.
(doi link,
paper)
- 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., Vol. 18 (6), p. 363-389, 2002.
(paper,
doi link)
- C. Douglas, J. Hu, J. Ray, D. Thorne and R. Tuminaro.
Fast, Adaptively Refined Computational Elements in 3D
in Computational Science - ICCS 2002, P. M. A. Sllot, C. J. K. Tan, J. J.
Dongarra, and A. G. Hoekstra (eds.), 3 , p. 774-783, 2002.
(paper)
- R. Tuminaro and
C. Tong.
Parallel smoothed aggregation multigrid: Aggregation strategies on massively
parallel machines.
In J. Donnelley, editor, SuperComputing 2000 Proceedings, 2000.
(paper,
doi link)
- C. Tong
and R. S. Tuminaro.
ML 2.0 smoothed aggregation user's guide.
Technical Report SAND2001-8028, Sandia National Laboratories, December 2000.
(paper)
- 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.
(paper)
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