Abstract—An efficient and accurate numerical method has been proposed in this paper to estimate the acoustic coefficient in a 2D acoustic wave equation. The inverse problem is formulated as a PDE-constrained optimization problem, in which the forward problem is numerically solved by both efficient finite difference schemes. To generate the gradient of the quadratic misfit function with respect to the unknown coefficient, the widely used automatic differentiation tool TAMC is used. Finally a gradient-based optimization algorithm is applied to minimize the misfit function. Numerical results are presented to show that the proposed method is effective and robust in estimating the acoustic coefficient.

Index Terms—Inverse problem; wave equation; finite difference method; adjoint method; optimization.

Wenyuan Liao,Department of Mathematics and Statistics, University of Calgary Calgary, Alberta, T2N 1N4, Canada (E-mail: wliao@ucalgary.ca)

 

Cite:Wenyuan Liao, "An Accurate and Efficient Algorithm for Parameter Estimation of 2D Acoustic Wave Equation," International Journal of Applied Physics and Mathematics vol. 1, no. 2, pp. 96-100, 2011.