TY  - EJOU
AU  - Marin, Liviu  
AU  - Karageorghis, Andreas  

TI  - Regularized MFS-Based Boundary Identification in Two-Dimensional Helmholtz-Type Equations
T2  - Computers, Materials \& Continua

PY  - 2009
VL  - 10
IS  - 3
SN  - 1546-2226

AB  - We study the stable numerical identification of an unknown portion of the boundary on which a given boundary condition is provided and additional Cauchy data are given on the remaining known portion of the boundary of a two-dimensional domain for problems governed by either the Helmholtz or the modified Helmholtz equation. This inverse geometric problem is solved using the method of fundamental solutions (MFS) in conjunction with the Tikhonov regularization method. The optimal value for the regularization parameter is chosen according to Hansen's L-curve criterion. The stability, convergence, accuracy and efficiency of the proposed method are investigated by considering several examples.
KW  - Helmholtz-Type Equations
KW  -  Inverse Geometric Problem
KW  -  Method of Fundamental Solutions (MFS)
KW  -  Regularization

DO  - 10.3970/cmc.2009.010.259