Title of article
A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles
Author/Authors
Bialecki، نويسنده , , Bernard، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
21
From page
601
To page
621
Abstract
A fast Schur complement algorithm is presented for computing the piecewise Hermite bicubic orthogonal spline collocation solution of the biharmonic Dirichlet problem on a rectangular region. On an N×N uniform partition, the algorithm, which involves the preconditioned conjugate gradient method and fast Fourier transforms, requires O(N2log2N) arithmetic operations.
Keywords
Schur Complement , Preconditioned conjugate gradient method , fast Fourier transforms , Biharmonic Dirichlet problem , Orthogonal spline collocation
Journal title
Journal of Computational Physics
Serial Year
2003
Journal title
Journal of Computational Physics
Record number
1477662
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