Special Session 5: Scientific Computation and Numerical Algorithms

Inverse problems on piezoelectric equation

Xiang Xu
Zhejiang University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we will discuss about the recent progress on an inverse source and an inverse coefficient prolem on piezoelectriic equation, respectively. Based upon Carleman estimate, we can prove local Holder stability estimates both for these two inverse problems provided that additional measurement data are given on an interior sub-domain. Furthermore, two numerical algorithms are also propoese for solving the inverse problems. Numerical examples are presented to demonstrate the effectiveness of the proposed schemes.