Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients (Q731967)
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scientific article; zbMATH DE number 5611794
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients |
scientific article; zbMATH DE number 5611794 |
Statements
Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients (English)
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9 October 2009
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The authors discuss here the multiscale analysis and numerical algorithms for linear wave equations with rapidly oscillating coefficients which depend on spatial and temporal variables. The new contributions of the paper are a determination of the convergence rate under reasonable assumptions [cf. \textit{S. Brahim-Otsmane, G. A. Francfort} and \textit{F. Murat}, J. Math. Pures. Appl., IX. Sér. 71, No.~3, 197--231 (1992; Zbl 0837.35016)] higher-order correctors, and numerical approximations techniques. Some numerical results and unsolved problems are also presented.
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homogenization
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multiscale asymptotic expansion
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wave equation
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rapidly oscillating coefficients
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finite element method
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symplectic geometric scheme
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algorithms
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convergence
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numerical results
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