EXTRAPOLATION OF THE FINITE ELEMENT METHOD ON GENERAL MESHES

被引：0
|
作者：
Lin, Qun [1 ]
Xie, Hehu [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2013年 / 10卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Extrapolation; finite element method; general meshes; POSTERIORI ERROR ESTIMATORS; SUPERCONVERGENCE; EXPANSION; GRIDS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the extrapolation method for second order elliptic problems on general meshes and derive a type of finite element expansion which is dependent of the triangulation. It allows to prove the effectiveness of the extrapolation on general meshes and also validates the extrapolation method can be applied on the automatically produced meshes of the general computing domains. Some numerical examples are given to illustrate the theoretical analysis.
引用
收藏
页码：139 / 153
页数：15
相关论文
共 50 条
  • [21] A nonconforming virtual element method for the Stokes problem on general meshes
    Liu, Xin
    Li, Jian
    Chen, Zhangxin
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 320 : 694 - 711
  • [22] A local level set method based on a finite element method for unstructured meshes
    Long Cu Ngo
    Hyoung Gwon Choi
    Journal of Mechanical Science and Technology, 2016, 30 : 5539 - 5545
  • [23] A local level set method based on a finite element method for unstructured meshes
    Ngo, Long Cu
    Choi, Hyoung Gwon
    JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2016, 30 (12) : 5539 - 5545
  • [24] Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method
    Hehu Xie
    Advances in Computational Mathematics, 2008, 29 : 135 - 145
  • [25] EXTRAPOLATION COMBINED WITH MULTIGRID METHOD FOR SOLVING FINITE-ELEMENT EQUATIONS
    HUANG, HC
    E, WN
    MU, M
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 1986, 4 (04) : 362 - 367
  • [26] EXTRAPOLATION OF STATIC FIELDS MEASUREMENTS BY MEANS OF THE FINITE-ELEMENT METHOD
    PALKA, R
    ARCHIV FUR ELEKTROTECHNIK, 1984, 67 (04): : 247 - 251
  • [27] An algorithm using the finite volume element method and its splitting extrapolation
    Cao, Yong
    He, Xiaoming
    Lue, Tao
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (13) : 3734 - 3742
  • [28] NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes
    Montanari, Mattia
    Santi, Gian Maria
    Sevilla, Ruben
    Alfredo, Liverani
    Petrinic, Nik
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2024, 231
  • [29] Homogenized mixed finite element method for diffusion equations on prismatic meshes
    Boiarkine, O.
    Gvozdev, V.
    Kuznetsov, Yu.
    Maliassov, S.
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2008, 23 (05) : 423 - 453
  • [30] A simple nodal force distribution method in refined finite element meshes
    Park, Jai Hak
    Shin, Kyu In
    Lee, Dong Won
    Cho, Seungyon
    JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2017, 31 (05) : 2221 - 2228
12345