| A FAST NUMERICAL METHOD FOR INTEGRAL EQUATIONS OF THE FIRST KIND WITH LOGARITHMIC KERNEL USING MESH GRADING |
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| 作者姓名： | Qi-yuanChen TaoTang Zhen-huanTeng |
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| 作者单位： | [1]DepartmentofAppliedMathematics,BeijingUniversityofTechnology,Beijing100081,China [2]DepartmentofMathematics,HongKongBaptistUniversity,KowloonTong,HongKong [3]LMAM＆SchoolofMathematicalSciences,PekingUniversity,Beijing100871,China |
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| 摘 要： | The aim of this paper is to develop a fast numerical method for two-dimensional boundary integral equations of the first kind with logarithm kernels when the boundary of the domain is smooth and closed. In this case, the use of the conventional boundary element methods gives linear systems with dense matrix. In this paper, we demonstrate that the dense matrix can be replaced by a sparse one if appropriate graded meshes are used in the quadrature rules. It will be demonstrated that this technique can increase the numerical efficiency significantly.
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| 关 键 词： | 数字法 积分方程 对数 边界条件 |
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