On the finite element method for a singular problem

DOI10.1016/0096-3003(92)90027-XzbMath0757.65113OpenAlexW1982005891MaRDI QIDQ1194412

A. R. M. El-Namoury

Publication date: 27 September 1992

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(92)90027-x

zbMATH Keywords

numerical examplefinite element methodLaplace equationlinear convergencesingular problemsingular functionsslotted domain

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Singularities and treatments of elliptic boundary value problems.

Cites Work

• Direct and inverse error estimates for finite elements with mesh refinements
• The use of infinite grid refinements at singularities in the solution of Laplace's equation
• Corner singularities in elliptic problems by finite element methods
• Singular Isoparametric Finite Elements
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