Variational approach for identifying the coefficient of wave equation
Cheok Choi, Gen Nakamura, Kenji Shirota · EPrints - Department of Mathematics, Hokkaido University · 2005
An inverse boundary value problem for identifying the coefficient of some second order hyperbolic equation by one boundary measurement is considered. The problem is transformed to a minimization problem of a functional. By computing the Gateaux derivative of the functional, an algorithm for identifying the coefficient is given based on the projected gradient method. A numerical result is given testing the algorithm.