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Wavelet Galerkin Schemes for Boundary Integral Equations---Implementation and Quadrature

✍ Scribed by Harbrecht, Helmut; Schneider, Reinhold

Book ID
118192003
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
847 KB
Volume
27
Category
Article
ISSN
1064-8275

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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

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## Abstract In this paper, we consider a piecewise linear collocation method for the solution of a pseudo‐differential equation of order r=0, βˆ’1 over a closed and smooth boundary manifold. The trial space is the space of all continuous and piecewise linear functions defined over a uniform triangula