Convergence of relaxation schemes to the equations of elastodynamics (Q2701551)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of relaxation schemes to the equations of elastodynamics |
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Convergence of relaxation schemes to the equations of elastodynamics (English)
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19 February 2001
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compensated compactness
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one-dimensional elastodynamics
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We study the effect of approximation matrices to semi-discrete relaxation schemes for the equations of one-dimensional elastodynamics. We consider a semi-discrete relaxation scheme and establish convergence using the \(L^p\) theory of compensated compactness. Then we study the convergence of an associated relaxation-diffusion system, inspired by the scheme. Numerical comparisons of fully-discrete schemes are carried out.
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