Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638134 | Journal of Computational and Applied Mathematics | 2016 | 11 Pages |
Abstract
A new mimetic finite difference scheme for solving the acoustic wave equation is presented. It combines a novel second order tensor mimetic discretizations in space and a leapfrog approximation in time to produce an explicit multidimensional scheme. Convergence analysis of the new scheme on a staggered grid shows that it can take larger time steps than standard finite difference schemes based on ghost points formulation. A set of numerical test problems gives evidence of the versatility of the new mimetic scheme for handling general boundary conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
F. Solano-Feo, J.M. Guevara-Jordan, O. Rojas, B. Otero, R. Rodriguez,