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
  • [41] On Finite Element Formulations for the Obstacle Problem - Mixed and Stabilised Methods
    Gustafsson, Tom
    Stenberg, Rolf
    Videman, Juha
    COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2017, 17 (03) : 413 - 429
  • [42] Augmented mixed formulations and applications
    Achchab, BA
    Agouzal, A
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1999, 33 (03): : 459 - 478
  • [43] ON THE STABILITY OF SEMI-LAGRANGIAN ADVECTION SCHEMES UNDER FINITE ELEMENT INTERPOLATIONS
    Ferretti, R.
    Perrone, G.
    APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY II, 2007, 75 : 339 - 350
  • [44] ANALYSIS OF MIXED SCHEMES OF THE FINITE-ELEMENT METHOD IN PROBLEMS ON THE DEFORMATION OF SHALLOW SHELLS
    FILIPPOVICH, AP
    USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1988, 28 (03): : 79 - 88
  • [45] AUGMENTED MIXED FINITE ELEMENT METHODS FOR THE STATIONARY STOKES EQUATIONS
    Figueroa, Leonardo E.
    Gatica, Gabriel N.
    Marquez, Antonio
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 31 (02): : 1082 - 1119
  • [46] New Analysis of Mixed Finite Element Methods for Incompressible Magnetohydrodynamics
    Huang, Yuchen
    Qiu, Weifeng
    Sun, Weiwei
    JOURNAL OF SCIENTIFIC COMPUTING, 2023, 95 (03)
  • [47] New Analysis of Mixed Finite Element Methods for Incompressible Magnetohydrodynamics
    Yuchen Huang
    Weifeng Qiu
    Weiwei Sun
    Journal of Scientific Computing, 2023, 95
  • [48] An approach for augmented learning of finite element analysis
    Huang, Jiming
    Ong, Soh Khim
    Nee, Andrew Yeh-Ching
    COMPUTER APPLICATIONS IN ENGINEERING EDUCATION, 2019, 27 (04) : 921 - 933
  • [49] Finite element modelling of cold forward extrusion using updated Lagrangian and combined Eulerian-Lagrangian formulations
    Gouveia, BPPA
    Rodrigues, JMC
    Martins, PAF
    JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 1998, 80-1 : 647 - 652
  • [50] Development of Specific Mixed Schemes of the Finite Element Method.
    Baenkhaev, A.V.
    Trudy LPI, 1985, (405): : 41 - 48