A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles (Q1414095)
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scientific article; zbMATH DE number 2005953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles |
scientific article; zbMATH DE number 2005953 |
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A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles (English)
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19 November 2003
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A fast Schur complement algorithm for computing piecewise Hermite bicubic orthogonal spline collocation of the biharmonic Dirichlet problem is presented. On an uniform \(N\times N\) uniform partition, the algorithm which involves the preconditioned conjugate gradient method and fast Fourier transforms, requires \(O(N^2 \log_2 N)\) arithmetic operations.
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biharmonic Dirichlet problem
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orthogonal spline collocation
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preconditioning
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conjugate gradient method
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fast Fourier transforms
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fast Schur complement algorithm
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