High-accuracy discretization algorithms for problems with discontinuous solutions (Q1288658)
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scientific article; zbMATH DE number 1287594
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High-accuracy discretization algorithms for problems with discontinuous solutions |
scientific article; zbMATH DE number 1287594 |
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High-accuracy discretization algorithms for problems with discontinuous solutions (English)
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15 September 1999
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The authors consider boundary value and initial-boundary value problems for quasilinear elliptic, nonlinear parabolic and linear hyperbolic equations with discontinuous solutions, and use the finite element method to construct approximate convergent solutions. The results are applied to a static plane linear elasticity problem with a prescribed pressure on a cut, to a dynamic problem for an orthotropic elastic body of revolution, and to an eigenvalue problem with discontinuous eigenfunctions.
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boundary value problems
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quasilinear elliptic equations
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nonlinear parabolic equations
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prescribed pressure on cut
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initial-boundary value problems
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linear hyperbolic equations
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discontinuous solutions
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finite element method
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approximate convergent solutions
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static plane linear elasticity problem
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orthotropic elastic body of revolution
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discontinuous eigenfunctions
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