A fast direct algorithm for the solution of the Laplace equation on regions with fractal boundaries (Q1335594)
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scientific article; zbMATH DE number 651856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fast direct algorithm for the solution of the Laplace equation on regions with fractal boundaries |
scientific article; zbMATH DE number 651856 |
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A fast direct algorithm for the solution of the Laplace equation on regions with fractal boundaries (English)
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17 October 1994
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An \(O(N)\) direct algorithm is constructed for the fast direct solution of the Laplace equation on regions with fractal boundaries: \(N\) is the number of elements in the discretization of the fractal. Numerical examples presented here are shown to indicate that even very large scale problems result in acceptable CPU time requirements.
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scattering matrices
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Cantor sets
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numerical examples
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direct solution
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Laplace equation
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fractal boundaries
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large scale problems
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