On the accuracy of least squares methods in the presence of corner singularities

DOI10.1016/0898-1221(84)90077-4zbMath0573.65081OpenAlexW2086713976MaRDI QIDQ1062739

C. L. Cox, George J. Fix

Publication date: 1984

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(84)90077-4

zbMATH Keywords

error estimatesweighted Sobolev spacesfinite element methodscorner singularitiesHelmholtz equationweighted normscrackmembraneoptimal convergenceleast squares methods

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Cites Work

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