Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary elements methods. Part I. The two-dimensional case

DOI10.1093/imanum/20.2.203zbMath0959.65136OpenAlexW2050871234MaRDI QIDQ4484853

Birgit Faermann

Publication date: 4 June 2000

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/20.2.203

zbMATH Keywords

Galerkin methodSobolev spacenumerical examplesboundary element methoda posteriori error estimateadaptive grid refinement

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Error bounds for boundary value problems involving PDEs (65N15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

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