Details
| Original language | English |
|---|---|
| Article number | 112818 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 379 |
| Early online date | 6 Mar 2020 |
| Publication status | Published - 1 Dec 2020 |
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.
Keywords
- Boussinesq equation, Ciarlet–Raviart method, Convergence, Finite difference method, Mixed finite element method, Stability
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of Computational and Applied Mathematics, Vol. 379, 112818, 01.12.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Analysis of Ciarlet–Raviart mixed finite element methods for solving damped Boussinesq equation
AU - Parvizi, Maryam
AU - Khodadadian, Amirreza
AU - Eslahchi, M. R.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - 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.
AB - 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.
KW - Boussinesq equation
KW - Ciarlet–Raviart method
KW - Convergence
KW - Finite difference method
KW - Mixed finite element method
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=85083652850&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2020.112818
DO - 10.1016/j.cam.2020.112818
M3 - Article
AN - SCOPUS:85083652850
VL - 379
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
M1 - 112818
ER -