Volume 16, Issue 3
Numerical Solution for the Helmholtz Equation with Mixed Boundary Condition

H. B. Wang & J. J. Liu

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 203-214

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  • Abstract

We consider the numerical solution for the Helmholtz equation in $\Bbb{R}^2$ with mixed boundary conditions. The solvability of this mixed boundary value problem is established by the boundary integral equation method. Based on the Green formula, we express the solution in terms of the boundary data. The key to the numerical realization of this method is the computation of weakly singular integrals. Numerical performances show the validity and feasibility of our method. The numerical schemes proposed in this paper have been applied in the realization of probe method for inverse scattering problems.

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Published online: 2007-08

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