\(\Gamma\)-convergence of external approximations in boundary value problems involving the bi-Laplacian

DOI10.1016/S0377-0427(01)00525-8zbMath0998.65111MaRDI QIDQ1602774

Cesare Davini

Publication date: 24 June 2002

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

zbMATH Keywords

finite element methodbiharmonic equation\(\Gamma\)-convergencenonconforming finite elements

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) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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Cites Work

• An introduction to \(\Gamma\)-convergence
• A lumped stress method for plane elastic problems and the discrete-continuum approximation
• Direct Discretization of Planar Div-Curl Problems
• Mixed and Hybrid Finite Element Methods
• A general mixed covolume framework for constructing conservative schemes for elliptic problems
• Relaxed Notions of Curvature and a Lumped Strain Method for Elastic Plates
• An Unconstrained Mixed Method for the Biharmonic Problem
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