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Preconditioned multiwavelet Galerkin boundary element solution of Laplace's equation

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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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
Uncontrolled Keywords: Multiwavelets, matrix compression, boundary element equations, laplace's equation
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: 01 Dec 2015 00:00

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