Exact Controllability Of A Class Of Wave Equation

Exact controllability of a class of wave equation is studied by finite difer-ence method and finite element method. The exact boundary controllability withconstant coefcient wave equation and variable coefcient wave equation are alsostudied. It turns out that the problem of exact controllability is equivalent to theobservability of the adjoint system. Hilbert Uniqueness Method (HUM) is alsoused to prove some theories. The convergence of master wave equation and thescheme of finite diference are given by discrete space and time. The numericalsolutions and the error of one dimension problem are used to describe the exactcontrollability of wave equation.