【摘 要】
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The method of fundamental solutions(MFS)has been known as an effective boundary meshless method for solving homogeneous equation when the fundamental soluti
【机 构】
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DepartmentofMathematics,SchoolofMathematicalSciences,UniversityofElectronicScienceandTechnologyofChi
【出 处】
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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)
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The method of fundamental solutions(MFS)has been known as an effective boundary meshless method for solving homogeneous equation when the fundamental solution of the governed equation is known.Despite the effectiveness of the MFS,the determination of the source points on the fictitious boundary is still an outstanding research topic,particularly for certain types of boundary conditions and non-smooth boundary shape.In this presentation,we will first revisit the method of approximate fundamental solutions(MAFS)[1] which approximate the fundamental solution using trigonometric functions.In this approach,the fundamental solutions for various governed equations can be easily constructed.The placement of the source points is also simple.Next,we will apply the MAFS for solving Laplace equation with non-harmonic boundary condition with highly irregular or non-smooth domain.We will compare the performance of the MAFS and MFS in these types of problems [2,3].
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