A new mimetic scheme for the acoustic wave equation

被引：16
|
作者：
Solano-Feo, F. [1 ]
Guevara-Jordan, J. M. [1 ]
Rojas, O. [2 ]
Otero, B. [3 ]
Rodriguez, R. [4 ]
机构：
[1] Cent Univ Venezuela, Fac Ciencias, Escuela Matemat, Caracas, Venezuela
[2] Cent Univ Venezuela, Fac Ciencias, Escuela Computac, Caracas, Venezuela
[3] Univ Politecn Cataluna, Dept Arquitectura Comp, Barcelona, Spain
[4] Univ Politecn Cataluna, Escola Tecn Super Engn Telecomunicacio Barcelona, Barcelona, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 295卷
关键词：
Acoustic; Staggered grid; Mimetic; Convergence; Finite differences;
D O I：
10.1016/j.cam.2015.09.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：2 / 12
页数：11
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