The tolerant qualocation method for variable-coefficient elliptic equations on curves (Q5939773)
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scientific article; zbMATH DE number 1626709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The tolerant qualocation method for variable-coefficient elliptic equations on curves |
scientific article; zbMATH DE number 1626709 |
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The tolerant qualocation method for variable-coefficient elliptic equations on curves (English)
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30 July 2001
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numerical examples
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qualocation method
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variable-coefficient elliptic equations
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convergence
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numerical quadrature
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The paper deals with a modification of the qualocation method for variable-coefficient elliptic equations on curves. The modification achieves the same high-order convergence as the standard spline qualocation but with meaker assumptions on the exact solution.NEWLINENEWLINENEWLINEThe presented modification replaces the numerical quadrature for the right-hand side of the elliptic equation by an exact computation. In several lemmas and theorem the order of convergence is proved.NEWLINENEWLINENEWLINETwo examples of the singular integral equation numerically confirm the presented theoretical resultsvery well such that the paper extends the types of problems where the qualocation method can be used.
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