Title
Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation.
Abstract
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
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 Parvizi100.34
Amirreza Khodadadian212.04
M. R. Eslahchi38813.65