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

页码：321 / 346

页数：26

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