On the robustness of the BPX-preconditioner with respect to jumps in the coefficients

Oswald, Peter

doi:10.1090/S0025-5718-99-01041-8

On the robustness of the BPX-preconditioner with respect to jumps in the coefficients

Author: Peter Oswald
Journal: Math. Comp. 68 (1999), 633-650
MSC (1991): Primary 65N22, 65N55, 65F10
DOI: https://doi.org/10.1090/S0025-5718-99-01041-8
MathSciNet review: 1620239
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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.

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