Amini, S and Nixon, SP 2006, 'Preconditioned multiwavelet Galerkin boundary element solution of Laplace's equation' , Engineering Analysis with Boundary Elements, 30 (7) , pp. 523-530.
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Official URL: http://dx.doi.org/10.1016/j.enganabound.2006.02.00...
Abstract
In this paper, we study the boundary element solution of Laplace's equation using a Galerkin method with multiwavelet basis functions. This leads to significant matrix compression, requiring computation of only θ(n log n). We also develop a block diagonal preconditioner for the discrete single layer potential which reduces the condition number of the matrix from θ(n) to θ(log2n). We provide numerical results supporting our theory.
Item Type: | Article |
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Themes: | Subjects / Themes > Q Science > QC Physics Subjects outside of the University Themes |
Schools: | Schools > School of Computing, Science and Engineering |
Journal or Publication Title: | Engineering Analysis with Boundary Elements |
Publisher: | Elsevier |
Refereed: | Yes |
ISSN: | 09557997 |
Depositing User: | H Kenna |
Date Deposited: | 22 Aug 2007 13:21 |
Last Modified: | 27 Aug 2021 21:59 |
URI: | http://usir.salford.ac.uk/id/eprint/309 |
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