Numerical Exponential Decay to Dissipative Bresse System

We consider the Bresse system with frictional dissipative terms acting in all the equations. We show the exponential decay of the solution by using a method developed by Z. Liu and S. Zheng and their collaborators in past years. The numerical computations were made by using the finite difference met...

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Bibliographic Details
Published inJournal of Applied Mathematics Vol. 2010; no. 2010; pp. 229 - 245
Main Authors Santos, M. L., Júnior, Dilberto da S. Almeida
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2010
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Boundary conditions
Decay
Dissipation
Finite difference method
Locking
Mathematical analysis
Mathematical models
Methods
Numerical analysis
Partial differential equations
Studies
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Summary:We consider the Bresse system with frictional dissipative terms acting in all the equations. We show the exponential decay of the solution by using a method developed by Z. Liu and S. Zheng and their collaborators in past years. The numerical computations were made by using the finite difference method to prove the theoretical results. In particular, the finite difference method in our case is locking free.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1110-757X
1687-0042
DOI:10.1155/2010/848620