Explicit iterations with monotonicity for finite element approximations applied to a system of nonlinear elliptic equations (Q1080635)
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scientific article; zbMATH DE number 3967849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit iterations with monotonicity for finite element approximations applied to a system of nonlinear elliptic equations |
scientific article; zbMATH DE number 3967849 |
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Explicit iterations with monotonicity for finite element approximations applied to a system of nonlinear elliptic equations (English)
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1985
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For a nonlinear elliptic Dirichlet problem explicit Gauss-Seidel type iteration schemes for triangular finite element approximations are presented. Starting from known bounds on the solution, sequences are constructed, which bracket the finite element solution and converge monotonically to it. Numerical examples are given.
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monotone convergence
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Gauss-Seidel
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finite element
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Numerical examples
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0.9601264
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0.9419242
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0.93055385
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0.92702836
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0.9267911
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0.92216206
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0.92181474
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