Title | ||
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Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation. |
Abstract | ||
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In this paper, we consider the numerical solution of damped Boussinesq equation using Ciarlet–Raviart mixed finite element method. An implicit finite difference scheme is used for the time discretization. A priori error estimates are analyzed and stability analysis of the method is shown. We obtain an optimal error estimate in L2 norm with quadratic or higher-order element, for both semi and fully discrete finite element approximations. Finally, numerical examples are given to verify the theoretical results. |
Year | DOI | Venue |
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2020 | 10.1016/j.cam.2020.112818 | Journal of Computational and Applied Mathematics |
Keywords | DocType | Volume |
Mixed finite element method,Finite difference method,Boussinesq equation,Convergence,Stability,Ciarlet–Raviart method | Journal | 379 |
ISSN | Citations | PageRank |
0377-0427 | 0 | 0.34 |
References | Authors | |
0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Maryam Parvizi | 1 | 0 | 0.34 |
Amirreza Khodadadian | 2 | 1 | 2.04 |
M. R. Eslahchi | 3 | 88 | 13.65 |