A new mimetic scheme for the acoustic wave equation
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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.
CitationSolano, F., Guevara-Jordan, J., Rojas, O., Otero, B., Rodriguez, R. A new mimetic scheme for the acoustic wave equation. "Journal of computational and applied mathematics", 15 Març 2016, vol. 295, p. 2-12.