High accuracy analysis of elliptic eigenvalue problem for the Wilson nonconforming finite element

DOI10.1007/BF02669573zbMath0988.65099OpenAlexW2331139050MaRDI QIDQ5942763

Dong Sheng Wu

Publication date: 22 July 2002

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02669573

zbMATH Keywords

convergenceerror boundsvariational methodseigenfunctionselliptic eigenvalue problemsRitz-Galerkin projectionsWilson nonconformal finite element

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

• Finite element methods (Part 1)
• Nonconforming finite element methods for eigenvalue problems in linear plate theory
• Superconvergence analysis and error expansion for the Wilson nonconforming finite element
• A new superconvergence property of Wilson nonconforming finite element
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