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The method of moving asymptotes—a new method for structural optimization
Author(s) -
Svanberg Krister
Publication year - 1987
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620240207
Subject(s) - asymptote , mathematical optimization , convergence (economics) , process (computing) , mathematics , iterative and incremental development , regular polygon , iterative method , convex optimization , computer science , mathematical analysis , geometry , software engineering , economics , economic growth , operating system
A new method for non‐linear programming in general and structural optimization in particular is presented. In each step of the iterative process, a strictly convex approximating subproblem is generated and solved. The generation of these subproblems is controlled by so called ‘moving asymptotes’, which may both stabilize and speed up the convergence of the general process.