On the finite element method for the biharmonic Dirichlet problem in polygonal domains; quasi-optimal rate of convergence

DOI10.1007/BF03167475zbMath1069.65115MaRDI QIDQ1774291

Akira Mizutani

Publication date: 29 April 2005

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite element methodinterpolation theorypolygonal domainoptimal rate of convergencebiharmonic Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) 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)

Related Items (2)

On the compactness of a nonlinear operator related to stream function-vorticity formulation for the Navier-Stokes equations ⋮ Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D

Cites Work

• Conform and mixed finite element schemes for the Dirichlet problem for the Bilaplacian in plane domains with corners
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