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On the solution of large engineering design problems via mathematical programming
Author(s) -
Zillober Ch.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<480::aid-pamm480>3.0.co;2-7
Subject(s) - asymptote , flexibility (engineering) , mathematical optimization , interior point method , point (geometry) , sequence (biology) , computer science , finite element method , function (biology) , work (physics) , linear programming , mathematics , engineering , mathematical analysis , geometry , mechanical engineering , structural engineering , statistics , evolutionary biology , biology , genetics
The method of moving asymptotes (MMA) is known to work well for the solution of mathematical programs arising in engineering design problems. Recently, the method has been extended by using two interior point approaches for the solution of the arising convex subproblems. Besides function and gradient evaluations, i.e. finite element analyses, the main computational work has to be done in the solution of a large sequence of linear systems. The interior point approach provides more flexibility in the formulation of these systems which is advantageous for large scale applications.