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Application of lower‐bound direct method to large‐scale problems
Author(s) -
Hachemi Abdelkader,
Mouhtamid Said,
Weichert Dieter
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510007
Subject(s) - shakedown , scale (ratio) , interior point method , direct methods , nonlinear programming , point (geometry) , mathematical optimization , upper and lower bounds , nonlinear system , mathematics , computer science , engineering , chemistry , mathematical analysis , structural engineering , geometry , physics , quantum mechanics , finite element method , crystallography
In this paper, a lower‐bound direct method is presented for the large‐scale problems. This method is based on the statical shakedown analysis and nonlinear mathematical programming. Here, the interior point method combined with the method of difference of convex functions (IPDCA) is used to solve large‐scale problems. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)