Matrix analysis of mixed finite element methods for the diffusion equation. I

被引：1
|
作者：
Kuznetsov, YA
机构：
[1] Univ Houston, Dept Math, Houston, TX 77204 USA
[2] Russian Acad Sci, Inst Numer Math, Moscow 119991, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2005年 / 20卷 / 03期
关键词：
D O I：
10.1163/1569398054308586
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present two recent results for matrices arising in the mixed finite element method on triangular meshes. The first result is an algebraic proof for the discrete LBB condition. The second one is a new algorithm for the construction of a two-level spectrally equivalent preconditioner for the condensed matrix.
引用
收藏
页码：263 / 281
页数：19
相关论文
共 50 条
  • [1] FINITE ELEMENT METHODS FOR THE TRANSPORT EQUATION.
    Lesaint, P.
    Revue Francaise d'Automatique Informatique Recherche Operationnelle, 1974, 8 : 67 - 93
  • [2] Mixed finite element methods for a fourth order reaction diffusion equation
    Danumjaya, P.
    Pani, Amiya K.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2012, 28 (04) : 1227 - 1251
  • [3] FINITE ELEMENT RESPONSE MATRIX METHOD FOR THE SOLUTION OF THE NEUTRON TRANSPORT EQUATION.
    Rathkopf, James A.
    Martin, William R.
    Progress in Nuclear Energy, 1985, 18 (1-2): : 237 - 250
  • [4] BOUNDARY ELEMENT CALCULATIONS OF DIFFUSION EQUATION.
    Taigbenu, A.E.
    Liggett, J.A.
    Journal of Engineering Mechanics, 1985, 111 (03) : 311 - 328
  • [5] A stabilized finite element method for inverse problems subject to the convection–diffusion equation. I: diffusion-dominated regime
    Erik Burman
    Mihai Nechita
    Lauri Oksanen
    Numerische Mathematik, 2020, 144 : 451 - 477
  • [6] Finite element methods for convection diffusion equation
    Nassehi, V.
    King, S.A.
    Journal of Engineering, Islamic Republic of Iran, 1991, 4 (3-4):
  • [7] Mixed finite element methods for the Rosenau equation
    Atouani, Noureddine
    Ouali, Yousra
    Omrani, Khaled
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 57 (1-2) : 393 - 420
  • [8] Mixed finite element methods for the Rosenau equation
    Noureddine Atouani
    Yousra Ouali
    Khaled Omrani
    Journal of Applied Mathematics and Computing, 2018, 57 : 393 - 420
  • [9] BOUNDARY VALUE TECHNIQUES FOR FINITE ELEMENT SOLUTIONS OF THE DIFFUSION-CONVECTION EQUATION.
    Evans, D.J.
    Abdullah, A.R.
    1600, (23):
  • [10] A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime
    Burman, Erik
    Nechita, Mihai
    Oksanen, Lauri
    NUMERISCHE MATHEMATIK, 2020, 144 (03) : 451 - 477
12345