Quak TriangularWavelet Natural Boundary Element Method
Neumann boundary value problem of the Laplace equation in interior circular domain can be equivalently converted to a strongly singular natural boundary integral equation by Natural boundary element method, then we discrete the equation using polynomial to get the calculating formula of the stiffness matrix successfully. But these coefficients are shown by convergence series. We have to do some truncation or summarize by several approximation formulas in practical computation, thus, the stiffness matrix obtained by this method is not precise enough. In this paper, we discrete the natural boundary integral equation by connecting Quak triangular Wavelet method with Galerkin method. The stiffness matrix we obtained isnt expressed by series any more, but expressed by one or two terms, and this makes the calculation more convenient and accurate. The given example proves that the algorithm is effective and feasible.
Boundary naturalization Stiffness matriz Galerkin-wavelet method Quak Triangular Wavelet
CHEN Yi-ming LI Jun-xian SHEN Guang-xian ZHAO Wan-shuai WU Yong-bing
College of Sciences,Yanshan University,Qinhuangdao,Hebei 066004,China
国际会议
南京
英文
1
2009-10-18(万方平台首次上网日期,不代表论文的发表时间)