On the exponential decay of waves with memory

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• 作者：José ; A. Ferreira ^{ferreira@mat.uc.pt} ; Paula de Oliveira ^{poliveir@mat.uc.pt} ; Gon&ccedil ; alo Pena ; ^{gpena@mat.uc.pt}
• 关键词：Waves with memory ; Decay of energy ; Finite element methods
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：July 2017
• 年：2017
• 卷：318
• 期：Complete
• 页码：460-478
• 全文大小：2556 K
• 卷排序：318

文摘

In this paper we consider general linear damped wave equations with memory. We establish energy estimates that under the assumption of exponentially bounded kernels, induce exponential decaying solutions. Numerical waves that mimic their continuous counterpart are also introduced using a finite element approach.