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An element‐by‐element strategy for non‐linear shape optimization
Author(s) -
Kohli H. S.,
Carey G. F.
Publication year - 1995
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.1620381203
Subject(s) - element (criminal law) , computation , mathematical optimization , finite element method , shape optimization , function (biology) , field (mathematics) , mathematics , computer science , algorithm , engineering , structural engineering , evolutionary biology , political science , pure mathematics , law , biology
A strategy for the efficient solution of non‐linear shape optimization problems is developed. This strategy employs an integrated element‐by‐element approach to the solution of the governing partial differential equations, and, more particularly, to the computation of the necessary gradients of the objective function and constraints using an adjoint formulation. This proves to be a very efficient strategy and also is relatively easy to implement, because the local effect of design changes can be exploited. The method is tested with an application involving the design of the shape of electromagnet poles in order to obtain a desired field in the interpolar region.