An optimization technique for the solution of the Signorini problem using the boundary element method

被引：11

作者：

Leontiev, A

Huacasi, W ^{[1
]}

Herskovits, J

机构：

[1] Univ Fed Rio de Janeiro, Inst Math, BR-21945970 Rio De Janeiro, RJ, Brazil

[2] State Univ Norte Fluminense, Dept Math, BR-28015620 Sao Jose Dos Campos, RJ, Brazil

[3] Univ Fed Rio de Janeiro, COPPE, Mech Engn Program, BR-21945970 Rio De Janeiro, RJ, Brazil

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2002年 / 24卷 / 01期

关键词：

Signorini problem; boundary elements method; linear complementarity problem; bilinear optimization program; interior point algorithm;

D O I：

10.1007/s00158-002-0215-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present an optimization technique for the numerical solution of the Signorini problem for the Laplacian via boundary element discretization. The discretized problem is a mixed linear complementarity problem with potential and flux at the contact region as complementary variables. This complementarity problem is reformulated as a bilinear optimization program, which we solve with an interior point algorithm. Numerical results for a test problem and a comparison with another solution technique are given.

引用

页码：72 / 77

页数：6

共 14 条

[1]

Alliney S., 1990, Comput. Mech, V6, P247, DOI [10.1007/BF00370105, DOI 10.1007/BF00370105]

[2]

Bazaraa MokhtarS., 1979, Nonlinear Programming: Theory and Algorithms

[3]

Brebbia C. A., 1984, BOUNDARY ELEMENTS TE

[4]

Cottle R, 1992, The Linear Complementarity Problem