Reliable approximation of weight factors entering residual-based error bounds for FE-discretisa\-tions

DOI10.1007/s00607-004-0082-2zbMath1061.65117OpenAlexW2042444107MaRDI QIDQ1764142

Franz-Theo Suttmeier

Publication date: 23 February 2005

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-004-0082-2

zbMATH Keywords

finite element methodvariational inequalitynumerical exampleserror boundsadaptivityvariational equationPoisson equationdual weighted residual methodA posteriori error estimate

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Guaranteed computable bounds on quantities of interest in finite element computations ⋮ Reliable, goal‐oriented postprocessing for FE‐discretizations

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