On the numerical treatment of boundary singularities in elliptic problems (Q1822473)
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scientific article; zbMATH DE number 4003424
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the numerical treatment of boundary singularities in elliptic problems |
scientific article; zbMATH DE number 4003424 |
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On the numerical treatment of boundary singularities in elliptic problems (English)
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1986
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This paper addresses the numerical treatment of boundary singularities using the finite difference technique. Two different procedures are tested and compared for the title problem: the first consists of a coordinate transformation which produces a mesh refinement in the real problem domain in the vicinity of the singularity and the second involves a transformation of the problem to one which is free from singularities. In both cases the dynamic ADI method is applied to solve the discretized problem.
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solid state electronics
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corner singularities
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convergence acceleration
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Newton's method
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boundary singularities
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finite difference
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coordinate transformation
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mesh refinement
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dynamic ADI method
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