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

页码：2 / 12

页数：11

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