scientific article

zbMath0456.65062MaRDI QIDQ3906351

Mohamed Djaoua, Philippe Destuynder

Publication date: 1980

Full work available at URL: https://eudml.org/doc/193360

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zbMATH Keywords

rate of convergencefinite element methodserror estimatedomains with cornerspiecewise linear elementssingular second order problems

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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A finite element method using singular functions for Poisson equations: Mixed boundary conditions ⋮ Calcul des singularités par la méthode des éléments finis ⋮ Singular solutions of the Poisson equation at edges of three‐dimensional domains and their treatment with a predictor–corrector finite element method ⋮ On finite element methods for elliptic equations on domains with corners ⋮ A Postprocessing Finite Element Strategy for Poisson’s Equation in Polygonal Domains: Computing the Stress Intensity Factors ⋮ Predictor-corrector \(p\)- and \(h p\)-versions of the finite element method for Poisson's equation in polygonal domains ⋮ Finite element method for elliptic problems with edge singularities ⋮ The error estimates for the infinite element method for eigenvalue problems ⋮ Sur une Interprétation Mathématique de l'Intégrale de Rice en Théorie de la Rupture Fragile ⋮ Regularity of an elliptic problem with mixed Dirichlet-Robin boundary conditions in a polygonal domain

Cites Work

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• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 1

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