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WAVELET METHODS FOR BOUNDARY INTEGRAL EQUATIONS

✍ Scribed by REN, J. G.

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
155 KB
Volume
13
Category
Article
ISSN
1069-8299

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✦ Synopsis

A wavelet boundary element method (WBEM) for boundary integral equations is presented. A discrete approximating integral equation is derived by expanding the function into a wavelet series. Using a circulant matrix method, the coecient matrix is obtained from the values of the kernel functions on the boundary, instead of by numerical integration. Two examples of two-dimensional Laplace equations are shown. The results obtained by the wavelet boundary element are found to be in good agreement with exact results.

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