Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation

被引：24

作者：

Parvizi, Maryam ^{[1
,3
]}

Khodadadian, Amirreza ^{[1
,2
]}

Eslahchi, M. R. ^{[3
]}

机构：

[1] Vienna Univ Technol TU Wien, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

[2] Leibniz Univ Hannover, Inst Appl Math, Welfengarten 1, D-30167 Hannover, Germany

[3] Tarbiat Modares Univ, Fac Math Sci, POB 14115-134, Tehran, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 379卷 / 379期

关键词：

Mixed finite element method; Finite difference method; Boussinesq equation; Convergence; Stability; Ciarlet-Raviart method; CAHN-HILLIARD-COOK; DIFFUSION EQUATION; COLLOCATION METHOD; APPROXIMATION;

D O I：

10.1016/j.cam.2020.112818

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 L 2 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. (C) 2020 Published by Elsevier B.V.

引用

页数：19

共 44 条

[1] Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation [J].