A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation (Q369412)
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scientific article; zbMATH DE number 6210976
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation |
scientific article; zbMATH DE number 6210976 |
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A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation (English)
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24 September 2013
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The author studies the a posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation. First, the author defines a weak form of the initial-boundary value problem considered and the corresponding dual problem. He formulates a continuous Galerkin method of degree one and presents a posteriori error representations from which he proves a weighted global a posteriori error estimate. A localized a posteriori error estimate is given.
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continuous Galerkin finite element method
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convolution kernel
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stability
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hyperbolic integro-differential equation
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a posteriori error estimate
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