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Reproducing polynomial particle methods for boundary integral equations

โœ Scribed by Hae-Soo Oh; Christopher Davis; June G. Kim; YongHoon Kwon


Book ID
106158553
Publisher
Springer
Year
2011
Tongue
English
Weight
641 KB
Volume
48
Category
Article
ISSN
0178-7675

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It has been known that reproducing kernel particle (RKP) shape functions with Kronecker delta property are not available in simple forms. Thus, in this paper, we construct highly regular piecewise polynomial reproducing polynomial particle (RPP) shape functions that satisfy the Kronecker delta prope

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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 th