Haar Wavelet for the Natural Boundary Integral Equation

Abstract:

In this paper, we construct Haar wavelet and apply it to investigate the numerical solution of the natural boundary integral equation of the Laplace equation in the concave angle domains. Haar wavelet has better stability and good explicit expression. Moreover, they are mutual orthogonal. We make full use of their mutual orthogonal to cope with the natural boundary integral equation. Taking advantage of Galerkin-wavelet method in discretizing the natural boundary integral equation. Finally, a numerical example is shown and the feasibility and validity of the method are proved.

• Periodical: Applied Mechanics and Materials (Volumes 635-637)
• Pages: 1569-1573
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.635-637.1569
• Online since: September 2014
• Authors: Zhe Wang
• Keywords: Boundary Naturalization, Galerkin-Wavelet Method, Haar Wavelet, Stiffness Matrix

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