FE heterogeneous multiscale method for long-time wave propagation

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• 作者：Assyr Abdulle ; Marcus J. Grote ; Christian Stohrer
• 刊名：Comptes Rendus Mathematique
• 出版年：2013
• 出版时间：June, 2013
• 年：2013
• 卷：351
• 期：11-12
• 页码：495-499
• 全文大小：257 K

文摘

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.