An iterative algorithm based on level set method for the shape recovery problem

Abstract

In this paper, we propose an iterative algorithm based on the level set method for the shape recovery problem. We use a suitable preconditioner for the artificial time-dependent system for the level set formulation and propose an iterative algorithm of the level set function. We prove the convergence of our algorithm under some hypothesis. Numerical experiments show the efficiency of the algorithm.

Keywords:

• level set method
• inverse problem
• iterative algorithm
• shape recovery problem
• finite element method

2000 AMS Subject Classifications :

• 05A05
• 30C70
• 49Q10
• 57N25
• 57N50

Acknowledgement

The project is supported by National Natural Science Foundation of China (Grant no. 10471129).