An expanded mixed finite element method for two-dimensional Sobolev equations

被引：21
|
作者：
Li, Na [1 ,2 ]
Lin, Ping [1 ,3 ]
Gao, Fuzheng [4 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
[2] Shandong Womens Univ, Sch Data & Comp Sci, Jinan 250300, Shandong, Peoples R China
[3] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland
[4] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 348卷
基金：
中国国家自然科学基金;
关键词：
Sobolev equation; Expanded mixed finite element; Error estimate; Numerical experiment;
D O I：
10.1016/j.cam.2018.08.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we provide an expanded mixed finite element method for a class of two-dimensional Sobolev equations. The optimal error estimates for a semi-discrete scheme and a fully discrete scheme are obtained. Also numerical examples are stated to verify our theoretical results. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：342 / 355
页数：14
相关论文
共 50 条
  • [1] Expanded Mixed Finite Element Method for the Two-Dimensional Sobolev Equation
    Zhao, Qing-Li
    Li, Zong-Cheng
    Ding, You-Zheng
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [2] A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations
    Zhendong Luo
    Journal of Inequalities and Applications, 2016
  • [3] A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations
    Luo, Zhendong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [4] An Expanded Mixed Finite Element Method for Sobolev Equation
    Li, Na
    Gao, Fuzheng
    Zhang, Tiande
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (03) : 534 - 543
  • [5] A finite element method for the two-dimensional extended Boussinesq equations
    Walkley, M
    Berzins, M
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 39 (10) : 865 - 885
  • [6] A method for coupling two-dimensional finite element models with circuit equations
    Gómez, E
    Roger-Folch, J
    Molina, A
    Lázaro, VJ
    ELECTROMAGNETIC FIELDS IN ELECTRICAL ENGINEERING, 2002, 22 : 58 - 63
  • [7] A collocation spectral method for two-dimensional Sobolev equations
    Jin, Shiju
    Luo, Zhendong
    BOUNDARY VALUE PROBLEMS, 2018,
  • [8] A collocation spectral method for two-dimensional Sobolev equations
    Shiju Jin
    Zhendong Luo
    Boundary Value Problems, 2018
  • [9] MIXED FINITE VOLUME METHOD FOR TWO-DIMENSIONAL MAXWELL'S EQUATIONS
    Kim, Kwang-yeon
    Kwak, Do young
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2025, 62 (01) : 77 - 96
  • [10] Least-squares mixed finite element method for Sobolev equations
    Gu, HM
    Yang, DP
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (05): : 505 - 517
12345