Finite element analysis of a coupled nonlinear system

被引:0
|
作者
Loula, Abimael F. D. [1 ]
Zhu, Jiang [1 ]
机构
[1] MCT, Lab Nacl Comp Cient, BR-25651070 Petropolis, RJ, Brazil
来源
COMPUTATIONAL & APPLIED MATHEMATICS | 2001年 / 20卷 / 03期
关键词
coupled nonlinear system; existence; uniqueness; regularity; finite element approximations; error estimates;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A coupled nonlinear elliptic system modelling a large class of engineering problems is studied. Existence, uniqueness and regularity of weak solutions are established. Finite element approximations combined with a a fixed point algorithm are proposed and analysed. Numerical results are presented to confirm he estimates and to illustrate the behavior of the solution close to stability limits.
引用
收藏
页码:321 / 339
页数:19
相关论文
共 50 条
  • [41] Nonlinear finite element analysis for thermoplastic pipes
    Zhang, CT
    Moore, ID
    STRUCTURAL ANALYSIS AND DESIGN: BRIDGES, CULVERTS, AND PIPES, 1998, (1624): : 225 - 230
  • [42] Nonlinear finite element reliability analysis of concrete
    Frangopol, DM
    Lee, YH
    Willam, KJ
    JOURNAL OF ENGINEERING MECHANICS-ASCE, 1996, 122 (12): : 1174 - 1182
  • [43] Nonlinear finite element analysis for composite materials
    AdTech Systems Research, Inc, Beavercreek, United States
    Finite Elem Anal Des, 3 (211-223):
  • [44] Nonlinear Finite Element Analysis of Ocean Cables
    Nam-Il KIM
    Sang-Soo JEON
    Moon-Young KIM
    China Ocean Engineering, 2004, (04) : 537 - 550
  • [45] Nonlinear finite element analysis of masonry walls
    Hosny, A.H.
    Soliman, M.I.
    Fouad, H.A.
    Proceedings - Annual Conference and 1st Biennial Environmental Speciality Conference, 1990, 2 pt 2
  • [46] Nonlinear Finite Element Analysis of Balloon Sinuplasty
    Cui, F.
    Lee, H. P.
    Wang, D. Y.
    4TH EUROPEAN CONFERENCE OF THE INTERNATIONAL FEDERATION FOR MEDICAL AND BIOLOGICAL ENGINEERING, 2009, 22 (1-3): : 2552 - 2555
  • [47] New nonlinear lateral-vertical coupled shear element model for use in finite element structural analysis applications
    Dao, Thang N.
    van de Lindt, John W.
    Ho, Tu X.
    ENGINEERING STRUCTURES, 2017, 140 : 98 - 109
  • [48] A coupled nonlinear finite element scheme for anisotropic diffusion equation with nonlinear capacity term
    Fang, Jun
    Shen, Zhijun
    Cui, Xia
    Journal of Computational and Applied Mathematics, 2024, 438
  • [49] A coupled nonlinear finite element scheme for anisotropic diffusion equation with nonlinear capacity term
    Fang, Jun
    Shen, Zhijun
    Cui, Xia
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 438
  • [50] Iterative hybrid finite element boundary element method for the analysis of induction heating system with nonlinear charge
    Ismail, KS
    Marzouk, RA
    IEEE TRANSACTIONS ON MAGNETICS, 1996, 32 (04) : 3212 - 3218