Convergent adaptive finite elements for the nonlinear Laplacian (Q1864415)
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scientific article; zbMATH DE number 1883921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergent adaptive finite elements for the nonlinear Laplacian |
scientific article; zbMATH DE number 1883921 |
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Convergent adaptive finite elements for the nonlinear Laplacian (English)
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18 March 2003
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The author writes down an adaptive algorithm with continuous piecewise affine finite elements in order to solve the homogeneous Dirichlet problem for the \(p\)-Laplacian, with \(p\) larger than unity. At each iteration step the algorithm consist of the following four steps: solve, estimate, mark and refine. He also proves the convergence of the respective algorithm.
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p-Laplacian
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homogeneous Dirichlet problem
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adaptive algorithms
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continuous piecewise affine finite elements
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convergence
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0.9483052
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0.9448412
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0.94406486
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0.9424945
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0.9400012
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0.9389161
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0.9374267
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0.93710786
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0.9358096
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0.9353178
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