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• W2018971188 abstract "Recently, adaptive wavelet strategies for symmetric, positive definite operators have been introduced that were proven to converge. This paper is devoted to the generalization to saddle point problems which are also symmetric, but indefinite. Firstly, we investigate a posteriori error estimates and generalize the known adaptive wavelet strategy to saddle point problems. The convergence of this strategy for elliptic operators essentially relies on the positive definite character of the operator. As an alternative, we introduce an adaptive variant of Uzawa's algorithm and prove its convergence. Secondly, we derive explicit criteria for adaptively refined wavelet spaces in order to fulfill the Ladyshenskaja-Babuška-Brezzi (LBB) condition and to be fully equilibrated." @default.
• W2018971188 created "2016-06-24" @default.
• W2018971188 creator A5085101872 @default.
• W2018971188 date "2000-09-01" @default.
• W2018971188 modified "2023-10-16" @default.
• W2018971188 title "Adaptive wavelet methods for saddle point problems" @default.
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• W2018971188 doi "https://doi.org/10.1051/m2an:2000113" @default.
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