Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9507082 | Applied Mathematics and Computation | 2005 | 22 Pages |
Abstract
Consider numerical realization of Dirichlet-to-Neumann map for the Helmholtz equation with mixed boundary condition. By applying boundary integral equation (BIE) method and potential theory, the solvability of this mixed boundary value problem and an efficient method for solving the boundary Neumann date are set up. The regularization scheme for determining this D-to-N map from the measured non-smooth Dirichlet boundary date is also given. Numerical schemes for solving BIE with singular kernel are proposed and computational results are given to show the validity of our method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jijun Liu,