The convergence of fully discrete Galerkin approximations for the Benjamin--Bona--Mahony (BBM) equation (Q849827)
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scientific article; zbMATH DE number 5069177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The convergence of fully discrete Galerkin approximations for the Benjamin--Bona--Mahony (BBM) equation |
scientific article; zbMATH DE number 5069177 |
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The convergence of fully discrete Galerkin approximations for the Benjamin--Bona--Mahony (BBM) equation (English)
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31 October 2006
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The author analyzes a second-order in time fully discrete finite-element method for the BBM equation. The discretization in space is based on the standard Galerkin method, for the time discretization the Crank-Nicolson scheme is used. Convergence of a linearized Galerkin modification scheme is proved.
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finite element method
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Crank-Nicolson scheme
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conservation of energy
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error estimates
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extrapolation
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Galerkin method
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