Two-time level ADI finite volume method for a class of second-order hyperbolic problems (Q846419)
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scientific article; zbMATH DE number 5667969
| Language | Label | Description | Also known as |
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| English | Two-time level ADI finite volume method for a class of second-order hyperbolic problems |
scientific article; zbMATH DE number 5667969 |
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Two-time level ADI finite volume method for a class of second-order hyperbolic problems (English)
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9 February 2010
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This paper is concerned with a two-time level alternating direction implicit (ADI) method for approximation of solutions of some hyperbolic problems in a planar rectangle. The author uses the finite volume method, the biquadratic finite element space as the solution space and the Crank-Nicholson approach for the time stepping. The main result of the paper presents optimal estimates of the second-order accuracy in the \(H^1\) norm. Some numerical computations are also performed to illustrate the achievements of the method.
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alternating direction implicit method
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finite volume method
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hyperbolic problem
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error estimates
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numerical examples
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finite volume
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Crank-Nicholson approach
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0.9230923
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0.89109296
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0.8885709
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0.8864755
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0.87828815
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0.8765974
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0.87614083
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