Abstract
AbstractUsing wavelet boundary element method to solve Laplace equation, the purpose is to solve the difficulties of singular integrals in natural boundary element method, reduce computation and improve accuracy. The basic idea is that the differential equation is matched by an equivalent variational problem after natural boundary element naturalization, then use wavelet interpolation method to discrete it, and obtain the stiffness matrix which has a unique advantage, so that we can greatly reduce the computation. In this chapter, Shannon wavelet scaling functions are used as basis functions, applied to the natural boundary element method to solve the harmonic equation boundary value problems on the half-plane.KeywordsNatural boundary element methodWaveletLaplace equation
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