A posteriori \(L^{\infty }(L^{2})\)-error bounds for finite element approximations to the wave equation (Q2856620)
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scientific article; zbMATH DE number 6220953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A posteriori \(L^{\infty }(L^{2})\)-error bounds for finite element approximations to the wave equation |
scientific article; zbMATH DE number 6220953 |
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30 October 2013
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wave equation
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implicit time stepping
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reconstruction
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linear second-order hyperbolic initial boundary value problem
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a posteriori error bounds
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finite element method
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A posteriori \(L^{\infty }(L^{2})\)-error bounds for finite element approximations to the wave equation (English)
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This paper deals with a linear second-order hyperbolic initial boundary value problem. The theory is developed for both the space-discrete case as well as for the practically relevant case of an implicit fully discrete scheme. The authors derive abstract a posteriori error bounds for the fully discrete implicit finite element method.
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