Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44944
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. | URI: | https://hdl.handle.net/10316/44944 | 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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