Comparison of two schemes for Laplace-domain 2D scalar wave equation

Laplace-domain modeling plays an important role in Laplace-domain full waveform inversion. In order to provide efficient numerical schemes for Laplace-domain modeling, two 9-point schemes for Laplace-domain 2D scalar equation are compared in this paper. Compared to the finite-element 9-point scheme, the average-derivative optimal 9-point scheme reduces the number of grid points per pseudo-wavelength from 16 to 4 for equal directional sampling intervals. For unequal directional sampling intervals, the average-derivative optimal 9-point scheme reduces the number of grid points per pseudo-wavelength from 13 to 4. Numerical experiments demonstrate that the average-derivative optimal 9-point scheme is more accurate than the finite-element 9-point scheme for the same sampling intervals. By using smaller sampling intervals, the finite-element 9-point scheme can approach the accuracy of the average-derivative optimal 9-point scheme, but the corresponding computational cost and storage requirement are much higher. (C) 2014 Elsevier B.V. All rights reserved.