Approximation of the capillarity problem by an augmented Lagrangian method

被引：1
|
作者：
Witomski, P [1 ]
机构：
[1] INST MECAN GRENOBLE,LMC,F-38041 GRENOBLE 09,FRANCE
来源：
NUMERICAL ALGORITHMS | 1996年 / 12卷 / 3-4期
关键词：
capillarity; numerical approximation; optimization;
D O I：
10.1007/BF02142811
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose an algorithm to compute an approximation of capillary surfaces in a gravitational field. This algorithm is based on a decomposition-coordination method by augmented lagrangians and the discretization is done using the finite element method. We study the convergence of the algorithm and the error of discretization for the axisymmetric case; some numerical results are given. This method can be generalized to a two-dimensional space.
引用
收藏
页码：321 / 346
页数：26
相关论文
共 50 条
  • [21] An Optimization Model for the Strip-packing Problem and Its Augmented Lagrangian Method
    于洪霞
    张宏伟
    张立卫
    Northeastern Mathematical Journal, 2006, (04) : 441 - 450
  • [22] A Splitting in Time Scheme and Augmented Lagrangian Method for a Nematic Liquid Crystal Problem
    Guillen-Gonzalez, F.
    Koko, J.
    JOURNAL OF SCIENTIFIC COMPUTING, 2015, 65 (03) : 1129 - 1144
  • [23] A Splitting in Time Scheme and Augmented Lagrangian Method for a Nematic Liquid Crystal Problem
    F. Guillén-González
    J. Koko
    Journal of Scientific Computing, 2015, 65 : 1129 - 1144
  • [24] Contact with friction using the augmented Lagrangian method: a conditional constrained minimization problem
    Serpa, Alberto Luiz
    Iguti, Fernando
    Revista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences, 2000, 22 (02): : 273 - 289
  • [25] The Analysis of the Augmented Lagrangian Method for Symmetric Saddle Point Problem by Generalized SVD
    Okulicka-Dluzewska, Felicja
    INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
  • [26] Erratum to: The adapted augmented Lagrangian method: a new method for the resolution of the mechanical frictional contact problem
    Philippe Bussetta
    Daniel Marceau
    Jean-Philippe Ponthot
    Computational Mechanics, 2013, 52 : 1477 - 1477
  • [27] AN AUGMENTED LAGRANGIAN METHOD FOR VIDEO RESTORATION
    Chan, Stanley H.
    Khoshabeh, Ramsin
    Gibson, Kristofor B.
    Gill, Philip E.
    Nguyen, Truong Q.
    2011 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2011, : 941 - 944
  • [28] An augmented Lagrangian method for distributed optimization
    Nikolaos Chatzipanagiotis
    Darinka Dentcheva
    Michael M. Zavlanos
    Mathematical Programming, 2015, 152 : 405 - 434
  • [29] Parallel Augmented Lagrangian Relaxation for Dynamic Economic Dispatch Using Diagonal Quadratic Approximation Method
    Ding, Tao
    Bie, Zhaohong
    IEEE TRANSACTIONS ON POWER SYSTEMS, 2017, 32 (02) : 1115 - 1126
  • [30] An augmented Lagrangian method for fretting problems
    Stromberg, N
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 1997, 16 (04) : 573 - 593
12345