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- W4301517041 abstract "The convergence and optimality theory of adaptive Galerkin methods is almost exclusively based on the Dorfler marking. This entails a fixed parameter and leads to a contraction constant bounded below away from zero. For spectral Galerkin methods this is a severe limitation which affects performance. We present a dynamic marking strategy that allows for a super-linear relation between consecutive discretization errors, and show exponential convergence with linear computational complexity whenever the solution belongs to a Gevrey approximation class." @default.
- W4301517041 created "2022-10-05" @default.
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- W4301517041 date "2015-11-01" @default.
- W4301517041 modified "2023-10-15" @default.
- W4301517041 title "Adaptive Spectral Galerkin Methods with Dynamic Marking" @default.
- W4301517041 doi "https://doi.org/10.48550/arxiv.1511.00233" @default.
- W4301517041 hasPublicationYear "2015" @default.
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