Numerical integration of the three-dimensional Green kernel for an electromagnetic problem

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• 作者：Masserey ; Alexandre ; Rappaz ; Jacques ; Rozsnyo ; Roland ; Swierkosz ; Marek
• 关键词：Numerical methods ; Green kernel ; Numerical integration ; Boundary element method ; Gauss– ; Hammer quadrature
• 刊名：Journal of Computational Physics
• 出版年：2005
• 出版时间：May 1, 2005
• 年：2005
• 卷：205
• 期：1
• 页码：48-71
• 全文大小：862 K

文摘

In this paper, we present a method for the numerical integration of the three-dimensional Green kernel over two triangles. This method is compared with the results obtained by other algorithms. The comparison proves the efficiency of the technique in removing the numerical singularity. Furthermore, we provide a numerical algorithm for increasing the computation accuracy without refining the finite element mesh.