A finite element method using singular functions for the Poisson equation: crack singularities

DOI10.1002/nla.303zbMath1071.65152OpenAlexW2120192251MaRDI QIDQ5317857

Seokchan Kim, Gyungsoo Woo, Zhi-qiang Cai

Publication date: 21 September 2005

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.303

zbMATH Keywords

finite element methodstress intensity factorcorner and crack singularities

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) Analyticity in context of PDEs (35A20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

A finite element method using singular functions for Poisson equations: Mixed boundary conditions

Cites Work

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• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions