Constrained mountain pass algorithm for the numerical solution of semilinear elliptic problems (Q1882393)
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scientific article; zbMATH DE number 2104792
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constrained mountain pass algorithm for the numerical solution of semilinear elliptic problems |
scientific article; zbMATH DE number 2104792 |
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Constrained mountain pass algorithm for the numerical solution of semilinear elliptic problems (English)
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1 October 2004
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The author presents a numerical algorithm for solving semilinear elliptic problems based on finding a variational formulation and critical points of a \(C^1\) functional subject to a constraint given by a level set of another \(C^1\) functional. He uses the constrained steepest descent method to find local minima and then uses the constrained mountain pass algorithm to locate a critical point of the mountain pass type.
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semilinear elliptic problems
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constrained mountain pass algorithm
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steepest descent method
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