M. Sala. An Object-Oriented Framework for the Development of Scalable Parallel Multilevel Preconditioners. ACM Transactions on Mathematical Software, 32 (3), 2006. (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. (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. (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. (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. (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. (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. (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. (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. (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.
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. (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, 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.
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. (link)
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. (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.
R. Tuminaro and C. Tong. Parallel smoothed aggregation multigrid: Aggregation strategies on massively parallel machines. In J. Donnelley, editor, SuperComputing 2000 Proceedings, 2000. (link)
C. Tong and R. S. Tuminaro. ML 2.0 smoothed aggregation user’s guide. Technical Report SAND2001-8028, Sandia National Laboratories, December 2000.
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.