A numerical method based on extended Raviart-Thomas (ER-T) mixed finite element method for solving damped Boussinesq equation

被引：6

作者：

Parvizi, Maryam ^{[1
]}

Eslahchi, Mohammad Reza ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Appl Math, POB 14115-134, Tehran, Iran

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 16期

关键词：

mixed finite element method; finite difference method; Boussinesq equation; convergence; stability; HOMOTOPY PERTURBATION METHOD; BOUNDARY VALUE-PROBLEM; CAUCHY-PROBLEM; SOLITON-SOLUTIONS; GLOBAL SOLUTION; EXISTENCE;

D O I：

10.1002/mma.4442

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present the approximate solution of damped Boussinesq equation using extended Raviart-Thomas mixed finite element method. In this method, the numerical solution of this equation is obtained using triangular meshes. Also, for discretization in time direction, we use an implicit finite difference scheme. In addition, error estimation and stability analysis of both methods are shown. Finally, some numerical examples are considered to confirm the theoretical results. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：5906 / 5924

页数：19

共 50 条

[1] THE DISCRETE RAVIART-THOMAS MIXED FINITE ELEMENT METHOD FOR THE p-LAPLACE EQUATION
Guo, M. M.
Liu, D. J.
[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2023, 20 (03) : 313 - 328
[2] Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation
Parvizi, Maryam
Khodadadian, Amirreza
Eslahchi, M. R.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 379 (379)
[3] Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation
Yang, Huaijun
Jia, Xu
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 154 : 199 - 211
[4] An Immersed Raviart-Thomas Mixed Finite Element Method for Elliptic Interface Problems on Unfitted Meshes
Ji, Haifeng
[J]. JOURNAL OF SCIENTIFIC COMPUTING, 2022, 91 (02)
[5] A mixed finite element method for the Poisson problem using a biorthogonal system with Raviart-Thomas elements
Banz, Lothar
Ilyas, Muhammad
Lamichhane, Bishnu P.
McLean, William
Stephan, Ernst P.
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (03) : 2429 - 2445
[6] A MULTIGRID ALGORITHM FOR THE LOWEST-ORDER RAVIART-THOMAS MIXED TRIANGULAR FINITE-ELEMENT METHOD
BRENNER, SC
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (03) : 647 - 678
[7] Preconditioning projection nonconforming element method for the lowest-order Raviart-Thomas mixed triangular element method
Chen, JR
Li, LK
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1998, 93 (01) : 31 - 49
[8] Guaranteed and asymptotically exact a posteriori error estimator for lowest-order Raviart-Thomas mixed finite element method
Kim, Kwang-Yeon
[J]. APPLIED NUMERICAL MATHEMATICS, 2021, 165 : 357 - 375
[9] Comparison Study for Whitney (Raviart-Thomas)-Type Source Models in Finite-Element-Method-Based EEG Forward Modeling
Bauer, Martin
Pursiainen, Sampsa
Vorwerk, Johannes
Koestler, Harald
Wolters, Carsten H.
[J]. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2015, 62 (11) : 2648 - 2656
[10] Mixed finite element method for a strongly damped wave equation
Pani, AK
Yuan, JY
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2001, 17 (02) : 105 - 119

← 1 2 3 4 5 →