A Level Set Method For A Class Of Inverse Problems Of Shape Reconstruction

We consider numerical solution to a class of inverse problems of shape reconstruction.We use the level set method and shape sensitivity analysis to solve the inverse source problem,and give an algorithm to reconstruct the multi-connected source term.Based on the boundary observation data,we give two kinds of least-squares target functional: boundary and distributed formulations.Finally,two numerical examples are given to show the effectiveness of the algorithm.