On the robustness of the BPX-preconditioner with respect to jumps in the coefficients
Open Access
- 1 April 1999
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 68 (226) , 633-651
- https://doi.org/10.1090/s0025-5718-99-01041-8
Abstract
We determine the worst case behavior of the standard BPX-preconditioner for elliptic problems with arbitrary coefficient jumps along the boundaries of the coarsest partition. The counterexamples are also useful for other problems.Keywords
This publication has 12 references indexed in Scilit:
- Multigrid methodsPublished by Taylor & Francis ,2019
- Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensionsNumerische Mathematik, 1996
- New convergence estimates for multilevel algorithms for finite-element approximationsJournal of Computational and Applied Mathematics, 1994
- Multilevel Finite Element ApproximationPublished by Springer Nature ,1994
- Multilevel methods for elliptic problems with discontinuous coefficients in three dimensionsContemporary Mathematics, 1994
- Iterative Methods by Space Decomposition and Subspace CorrectionSIAM Review, 1992
- Counterexamples Concerning A Weighted L 2 ProjectionMathematics of Computation, 1991
- Convergence Estimates for Product Iterative Methods with Applications to Domain DecompositionMathematics of Computation, 1991
- Some Estimates for a Weighted L 2 ProjectionMathematics of Computation, 1991
- Parallel Multilevel PreconditionersMathematics of Computation, 1990