The treatment of nonhomogeneous Dirichlet boundary conditions by the p- version of the finite element method

DOI10.1007/BF01395874zbMath0673.65066OpenAlexW2039902273MaRDI QIDQ1120969

Manil Suri, Ivo M. Babuška

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01395874

zbMATH Keywords

finite elementoptimal error estimatesnonhomogeneous Dirichlet boundary conditionsp-version

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

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• Mesh design for the p-version of the finite element method
• The h-p version of the finite element method. I. The basic approximation results
• The h, p and h-p versions of the finite element method in 1 dimension. I. The error analysis of the p-version
• The $h-p$ version of the finite element method with quasiuniform meshes
• The Optimal Convergence Rate of the p-Version of the Finite Element Method
• The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries