摘要
A new iterative algorithm is proposed to solve inverse problems of time-dependent coefficient of two-dimensional linear wave equations, which is based on regularized metrtod and the minimization of functionals of the differences between the observations and the numerical solutions of the two-dimensional wave equation to determine the time-dependent coefficients in time-domain which is demonstrated. It has the practical advantages of having the necessary data measured on a portion of the boundary and sampling time. Numerical simulations on the three examples are carried out to test the feasibility of the new algorithm.Subject classifications: 35R30, 35L05, 35A40
A new iterative algorithm is proposed to solve inverse problems of time-dependent coefficient of two-dimensional linear wave equations, which is based on regularized metrtod and the minimization of functionals of the differences between the observations and the numerical solutions of the two-dimensional wave equation to determine the time-dependent coefficients in time-domain which is demonstrated. It has the practical advantages of having the necessary data measured on a portion of the boundary and sampling time. Numerical simulations on the three examples are carried out to test the feasibility of the new algorithm.Subject classifications: 35R30, 35L05, 35A40
