Finite difference method and its convergent error analyses for thermistor problem (Q1807857)
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scientific article; zbMATH DE number 1367966
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite difference method and its convergent error analyses for thermistor problem |
scientific article; zbMATH DE number 1367966 |
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Finite difference method and its convergent error analyses for thermistor problem (English)
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24 September 2000
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The author proposes new finite difference scheme on a nonuniform rectangular partition for the thermistor problem. Second-order estimates for the electrical potential in discrete \(L^2\) and \(H^1\) norms, and for the temperature in \(L^2\) norm, are obtained. In order to get these second-order error estimates, the Joule heating source is used in a changed equivalent form.
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finite difference method
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thermistor problem
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error estimates
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0.89194345
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0.8859056
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0.8764998
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0.8763132
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0.87388504
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