Boundary-type quadrature and boundary element method

Authors:
T.-X. He;R. Zhang;Y. S. Zhou
Affiliations:
Department of Mathematics and Computer Science, Illinois Wesleyan University, Bloomington, IL;Department of Mathematics, Jilin University, Changchun, Jilin, People's Republic of China;Department of Mathematics, Jilin University, Changchun, Jilin, People's Republic of China
Venue:
Journal of Computational and Applied Mathematics - Special issue: Approximation theory, wavelets, and numerical analysis
Year:
2003

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Abstract

In this paper, we apply a boundary-type quadrature technique to derive a type of boundary element scheme, which is used to solve the boundary-value problems of partial differential equations. Numerical examples for solving the exterior boundary-value problem of Helmholtz equation by using the spline approximation and the spline wavelet approximation are given.