【摘 要】
：
The particular solutions(PS)and fundamental solutions(FS)in polar coordinates can be found in many textbooks,but with much less coverage in elliptic coordin
【机 构】
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College of Science,Zhejiang University of Technology,Hangzhou,China
【出 处】
：
第7届Trefftz工程计算方法(ICTM2015)暨第3届基本解工程应用方法(MFS)
论文部分内容阅读
The particular solutions(PS)and fundamental solutions(FS)in polar coordinates can be found in many textbooks,but with much less coverage in elliptic coordinates [1].Since the elliptic domains with elliptic holes may be found in some engineering problems,the PS and the FS expansions in elliptic coordinates are essential for numerical computations.For Dirichlet problems of Laplace's equation in elliptic domains,the null field method(NFM),the interior field method(IFM)and the collocation Trefftz method(CTM)are reported in [2].There seems to exist very few reports for mixed problems,where the Dirichlet and Neumann conditions are assigned on the exterior and the interior boundaries,simultaneously.This paper is devoted to such mixed problems by the NFM and the IFM,and the explicit algebraic equations are derived for elliptic domains.Besides,other effective particular solutions(PS)are sought,and the collocation Trefftz method(CTM)[3] is employed.The CTM may be used for Robin problems in elliptic domains.The effective algorithms for the mixed problems of Laplace's equation on elliptic domains are the main goal of this paper.
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