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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
