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- W4287995046 abstract "Functional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work proposes a first functional error estimate for the boundary element method (BEM). One key feature is that the derived error estimates are independent of the BEM discretization and provide guaranteed lower and upper bounds for the unknown error. In particular, our analysis covers Galerkin BEM and the collocation method, what makes the approach of particular interest for scientific computations and engineering applications. Numerical experiments for the Laplace problem confirm the theoretical results." @default.
- W4287995046 created "2022-07-26" @default.
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- W4287995046 date "2019-12-12" @default.
- W4287995046 modified "2023-09-28" @default.
- W4287995046 title "Functional a posteriori error estimates for boundary element methods" @default.
- W4287995046 doi "https://doi.org/10.48550/arxiv.1912.05789" @default.
- W4287995046 hasPublicationYear "2019" @default.
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