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An efficient line search technique and its application to adjoint topology optimisation
Author(s) -
Gerdes Anne,
Hinze Michael,
Rung Thomas
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410342
Subject(s) - topology (electrical circuits) , mathematical optimization , selection (genetic algorithm) , descent (aeronautics) , line (geometry) , computer science , function (biology) , gradient descent , mathematics , line search , algorithm , engineering , artificial intelligence , geometry , combinatorics , computer security , evolutionary biology , artificial neural network , radius , biology , aerospace engineering
For the adjoint topology optimisation of a fluid‐dynamic cost functional we apply an Armijo step length selection rule in the gradient descent algorithm. To reduce the computational effort for evaluating the cost functional value in the step length prediction, the function evaluation step is performed on a coarse mesh. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)