Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D

Applications of mathematics

关键词: boundary element method;    Galerkin discretization;    Helmholtz equation;    hypersingular boundary integral equation;   

DOI  :  10.1007/s10492-014-0070-6

学科分类：应用数学

来源: Akademie Ved Ceske Republiky

【 摘 要 】

We deal with the Galerkin discretization of the boundary integral equations corresponding to problems with the Helmholtz equation in 3D. Our main result is the semi-analytic integration for the bilinear form induced by the hypersingular operator. Such computations have already been proposed for the bilinear forms induced by the single-layer and the double-layer potential operators in the monograph The Fast Solution of Boundary Integral Equations by O. Steinbach and S. Rjasanow and we base our computations on these results.

【 授权许可】

Unknown