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Can I read Calculation of Singular Integrals on Elements of Three-dimensional Problems by Triple-reciprocity Boundary Element Method on EtoBox?
Calculation of Singular Integrals on Elements of Three-dimensional Problems by Triple-reciprocity Boundary Element Method by Yoshihiro Ochiai is a Engineering article available to read on EtoBox.
What is Calculation of Singular Integrals on Elements of Three-dimensional Problems by Triple-reciprocity Boundary Element Method about?
Accurate numerical evaluation of integrals arising in the boundary element method is fundamental to achieving useful results via this solution technique. In this paper, a new technique is considered to evaluate the weak singular integrals that arise in the solution of three-dimensional Laplace's equation. This new application of the triple-reciprocity boundary element method is proposed for the calculation of singular integrals. A formulation of the boundary element method is utilized, and a method for the direct numerical integration of the twodimensional surface using a two-dimensional interpolation method is proposed. In numerical integral calculation, the numerical integration of arbitrary shape is possible, and integration in the case of two-dimensional integration is approximately changed into a one-dimensional integration by using the Green's second identity. In the introduced line integral, there is no singularity. To evaluate the efficiency of this method, several numerical examples are given.
Who reads Calculation of Singular Integrals on Elements of Three-dimensional Problems by Triple-reciprocity Boundary Element Method?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Yoshihiro Ochiai
- Publisher
- Elsevier BV
- Published
- 2022
- Language
- EN
- Field
- Engineering (Physical Sciences)