Successive overrelaxation method with projection for finite element solutions applied to the Dirichlet problem of the nonlinear elliptic equation \(\Delta u=bu^ 2\) (Q1099597)
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scientific article; zbMATH DE number 4041210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Successive overrelaxation method with projection for finite element solutions applied to the Dirichlet problem of the nonlinear elliptic equation \(\Delta u=bu^ 2\) |
scientific article; zbMATH DE number 4041210 |
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Successive overrelaxation method with projection for finite element solutions applied to the Dirichlet problem of the nonlinear elliptic equation \(\Delta u=bu^ 2\) (English)
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1988
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This study is a continuation of a previous paper by the author [ibid. 38, 117-132 (1987; Zbl 0613.65114)]. In this paper, we consider the successive overrelaxation method with projection for obtaining finite element solutions applied to the Dirichlet problem of the nonlinear elliptic equation \(\Delta u=bu^ 2\) in \(\Omega\), \(u=g(x)\) on \(\Gamma\). Some numerical examples are given to illustrate the effectiveness.
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successive overrelaxation method with projection
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finite element
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Dirichlet problem
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numerical examples
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