Numerical solution of a two-dimensional hyperbolic transmission problem (Q708275)
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scientific article; zbMATH DE number 5798179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of a two-dimensional hyperbolic transmission problem |
scientific article; zbMATH DE number 5798179 |
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Numerical solution of a two-dimensional hyperbolic transmission problem (English)
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11 October 2010
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An initial boundary value problem for a two-dimensional hyperbolic equation on a domain consisting of two disjoint rectangles is considered. The existence and uniqueness as well as a priori estimates for a weak solution in appropriate Sobolev-like spaces are proved. Various finite difference schemes are proposed and analyzed.
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hyperbolic transmission problem
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disjoint domains
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finite difference scheme
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convergence rate
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error estimates
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initial-boundary value problem
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Sobolev spaces
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weak solution
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