FE heterogeneous multiscale method for long-time wave propagation

被引：13

作者：

Abdulle, Assyr ^{[1
]}

Grote, Marcus J. ^{[2
]}

Stohrer, Christian ^{[2
]}

机构：

[1] Ecole Polytech Fed Lausanne, ANMC, Sect Math, CH-1015 Lausanne, Switzerland

[2] Univ Basel, Math Inst, CH-4051 Basel, Switzerland

来源：

COMPTES RENDUS MATHEMATIQUE | 2013年 / 351卷 / 11-12期

关键词：

HOMOGENIZATION;

D O I：

10.1016/j.crma.2013.06.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new finite element heterogeneous multiscale method (FE-HMM) is proposed for the numerical solution of the wave equation over long times in a rapidly varying medium. Our FE-HMM captures long-time dispersive effects of the true solution at a cost similar to that of a standard numerical homogenization scheme which, however, only captures the short-time macroscale behavior of the wave field. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：495 / 499

页数：5

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