A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation. (English) Zbl 1264.65182
Summary: An inverse source problem in the modified Helmholtz equation is considered. We give a Tikhonov-type regularization method and set up a theoretical frame to analyze the convergence of such method. A priori and a posteriori choice rules to find the regularization parameter are given. Numerical tests are presented to illustrate the effectiveness and stability of our proposed method.
MSC:
| 65N21 | Numerical methods for inverse problems for boundary value problems involving PDEs |
| 78A30 | Electro- and magnetostatics |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
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