\(\Gamma\)-convergence of external approximations in boundary value problems involving the bi-Laplacian (Q1602774)
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scientific article; zbMATH DE number 1758426
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\Gamma\)-convergence of external approximations in boundary value problems involving the bi-Laplacian |
scientific article; zbMATH DE number 1758426 |
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\(\Gamma\)-convergence of external approximations in boundary value problems involving the bi-Laplacian (English)
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24 June 2002
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This author gives an analysis of a finite element method for the biharmonic equation on convex planar domains. The basis functions are piecewise linear. He defines a generalized Laplacian for the finite-element approximants, and he shows the \(\Gamma\)-convergence of a functional based on the square of this generalized Laplacian.
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biharmonic equation
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nonconforming finite elements
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\(\Gamma\)-convergence
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finite element method
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