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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2018

16-05-2017 | Original Research

Mixed finite element methods for the Rosenau equation

Authors: Noureddine Atouani, Yousra Ouali, Khaled Omrani

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2018

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Abstract

Mixed finite element methods are applied to the Rosenau equation by employing splitting technique. The semi-discrete methods are derived using \(C^0-\)piecewise linear finite elements in spatial direction. The existence of unique solutions of the semi-discrete and fully discrete Galerkin mixed finite element methods is proved, and error estimates are established in one space dimension. An extension to problem in two space variables is also discussed. It is shown that the Galerkin mixed finite finite element have the same rate of convergence as in the classical methods without requiring the LBB consistency condition. At last numerical experiments are carried out to support the theoretical claims.
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Metadata
Title
Mixed finite element methods for the Rosenau equation
Authors
Noureddine Atouani
Yousra Ouali
Khaled Omrani
Publication date
16-05-2017
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2018
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-017-1112-5

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