Numerical Simulation for the Shape Reconstruction of a Cavity

作者：Yan Wen Jing; Ma Yi Chen

来源：Numerical Methods for Partial Differential Equations, 2009, 25(2): 460-469.

DOI：10.1002/num.20356

• domain derivative
• inverse problem
• shape reconstruction

We consider the inverse problem of reconstructing the interior boundary Curve of a cavity from the knowledge of the measurements on the exterior boundary. The domain derivative of the corresponding operator is presented, and this allows the investigation of the regularized Newton method for the solution of the ill-posed and nonlinear problem. Numerical examples indicate the feasibility of our method.

• 出版日期2009-3
• 单位西安交通大学