For the inf-sup condition on mesh-dependent norms on a nonconvex polygon

DOI10.1002/num.20316zbMath1154.65087OpenAlexW2034472917MaRDI QIDQ3522819

Jae Ryong Kweon, Sung Kyu Choi

Publication date: 4 September 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20316

zbMATH Keywords

corner singularityerror estimateLaplace equationinf-sup conditionPoisson equationnonconvex polygonBabuska-Brezzi conditionmesh-dependent norms

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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)

Cites Work

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• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• On the finite element approximation of functions with noninteger derivatives
• Coefficients of the Singularities for Elliptic Boundary Value Problems on Domains with Conical Points. III: Finite Element Methods on Polygonal Domains
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms

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