Convergence of mimetic finite difference discretizations of the diffusion equation

被引:0
|
作者
Berndt, M. [1 ]
Lipnikov, K. [1 ]
Moulton, D. [1 ]
Shashkov, M. [1 ]
机构
[1] Los Alamos National Laboratory, Theoretical Division, Mail Stop B284, Los Alamos, NM 87545, United States
来源
关键词
Los Alamos National Laboratory; Theoretical Division; Mail Stop B284; Los Alamos; NM; 87545 †Department of Mathematics; University of Houston; Houston; TX; 77204 This work was supported by the Department of Energy; under contract W-7405-ENG-36; and by the Los Alamos Computer Science Institute (LACSI);
D O I
暂无
中图分类号
学科分类号
摘要
15
引用
下载
收藏
页码:265 / 284
相关论文
共 50 条
  • [1] Convergence of a mimetic finite difference method for static diffusion equation
    Guevara-Jordan, J. M.
    Rojas, S.
    Freites-Villegas, M.
    Castillo, J. E.
    ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
  • [2] Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation
    J. M. Guevara-Jordan
    S. Rojas
    M. Freites-Villegas
    J. E. Castillo
    Advances in Difference Equations, 2007
  • [3] CONVERGENCE ANALYSIS OF THE MIMETIC FINITE DIFFERENCE METHOD FOR ELLIPTIC PROBLEMS WITH STAGGERED DISCRETIZATIONS OF DIFFUSION COEFFICIENTS
    Manzini, G.
    Lipnikov, K.
    Moulton, J. D.
    Shashkov, M.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 55 (06) : 2956 - 2981
  • [4] A finite element framework for some mimetic finite difference discretizations
    Rodrigo, C.
    Gaspar, F. J.
    Hu, X.
    Zikatanov, L.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (11) : 2661 - 2673
  • [5] A study of mimetic and finite difference methods for the static diffusion equation
    Jones, G. Sosa
    Arteaga, J.
    Jimenez, O.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (03) : 633 - 648
  • [6] Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes
    Brezzi, F
    Lipnikov, K
    Shashkov, M
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 43 (05) : 1872 - 1896
  • [7] Convergence of the mimetic finite difference and fitted mimetic finite difference method for options pricing
    Attipoe, David Sena
    Tambue, Antoine
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 401 (401)
  • [8] THE ARBITRARY ORDER MIXED MIMETIC FINITE DIFFERENCE METHOD FOR THE DIFFUSION EQUATION
    Gyrya, Vitaliy
    Lipnikov, Konstantin
    Manzini, Gianmarco
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2016, 50 (03): : 851 - 877
  • [9] A note on finite difference discretizations for Poisson equation on a disk
    Lai, MC
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2001, 17 (03) : 199 - 203
  • [10] Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces
    Brezzi, F
    Lipnikov, K
    Shashkov, M
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2006, 16 (02): : 275 - 297