Analysis of new augmented Lagrangian formulations for mixed finite element schemes

被引:0
|
作者
Daniele Boffi
Carlo Lovadina
机构
[1] Dipartimento di Matematica,
[2] Università di Pavia,undefined
[3] Via Abbiategrasso 209,undefined
[4] I-27100 Pavia,undefined
[5] Italia,undefined
来源
Numerische Mathematik | 1997年 / 75卷
关键词
Mathematics Subject Classification (1991):65N30;
D O I
暂无
中图分类号
学科分类号
摘要
Two new augmented Lagrangian formulations for mixed finite element schemes are presented. The methods lead, in some cases, to an improvement in the order of the approximation. An error analysis is provided, together with some interesting examples of applications.
引用
收藏
页码:405 / 419
页数:14
相关论文
共 50 条
  • [31] A posteriori error analysis of an augmented mixed finite element method for Darcy flow
    Barrios, Tomas P.
    Manuel Cascon, J.
    Gonzalez, Maria
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 283 : 909 - 922
  • [32] A new mixed finite element analysis of the elastodynamic equations
    Garcia, Carlos
    Gatica, Gabriel N.
    Meddahi, Salim
    APPLIED MATHEMATICS LETTERS, 2016, 59 : 48 - 55
  • [33] NUMERICAL EXPERIMENTS WITH NONOSCILLATORY SCHEMES USING EULERIAN AND NEW LAGRANGIAN FORMULATIONS
    YANG, JY
    HSU, CA
    COMPUTERS & FLUIDS, 1993, 22 (2-3) : 163 - 177
  • [34] A family of total Lagrangian Petrov–Galerkin Cosserat rod finite element formulations
    Eugster S.R.
    Harsch J.
    GAMM Mitteilungen, 2023, 46 (02)
  • [35] An augmented Lagrangian contact formulation for frictional discontinuities with the extended finite element method
    Hirmand, M.
    Vahab, M.
    Khoei, A. R.
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2015, 107 : 28 - 43
  • [36] On the Analysis of Inexact Augmented Lagrangian Schemes for Misspecified Conic Convex Programs
    Aybat, Necdet Serhat
    Ahmadi, Hesam
    Shanbhag, Uday V.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (08) : 3981 - 3996
  • [37] New schemes for the finite-element dynamic analysis of piezoelectric devices
    Belokon', AV
    Nasedkin, AV
    Solov'yev, AN
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2002, 66 (03): : 481 - 490
  • [38] Analysis of an augmented fully-mixed finite element method for a bioconvective flows model
    Colmenares, Eligio
    Gatica, Gabriel N.
    Miranda, Willian
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 393
  • [39] Primal and mixed finite element formulations for the relaxed micromorphic model
    Sky, Adam
    Neunteufel, Michael
    Muench, Ingo
    Schoeberl, Joachim
    Neff, Patrizio
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 399
  • [40] A DISCOURSE ON THE STABILITY CONDITIONS FOR MIXED FINITE-ELEMENT FORMULATIONS
    BREZZI, F
    BATHE, KJ
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 82 (1-3) : 27 - 57