An Inverse Boundary Value Problem for a Second Order Elliptic Equation in a Rectangle

作者：Mehraliyev Yashar T; Kanca Fatma^*

来源：Mathematical Modelling and Analysis, 2014, 19(2): 241-256.

DOI：10.3846/13926292.2014.910278

• inverse problem
• integral overdetermination condition
• elliptic equation

In this paper, the inverse problem of finding a coefficient in a second order elliptic equation is investigated. The conditions for the existence and uniqueness of the classical solution of the problem under consideration are established. Numerical tests using the finite-difference scheme combined with an iteration method is presented and the sensitivity of this scheme with respect to noisy overdetermination data is illustrated.

• 出版日期2014