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Title: The decay of solutions of a wave equation with memory
Authors: Ferreira, José Augusto 
Oliveira, Paula de 
Pena, Gonçalo 
Issue Date: 2014
Publisher: J. Vigo - Aguiar
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
Serial title, monograph or event: Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering
Volume: II
Place of publication or event: Costa Ballena, Rota, Cádiz (Spain)
Abstract: In this paper the qualitative behaviour of a damped linear wave equation with memory is studied. A new energy functional is introduced which generalizes some of the most common energy functionals found in the literature for this type of problem. We establish an upper bound for this functional that, under suitable regularity conditions, converges to zero as time increases. Numerical waves that mimic their continuous counterpart are also computed using the finite element approach.
ISBN: 978-84-616-9216-3
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos e Resumos em Livros de Actas

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