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An Adaptive Isogeometric Phase‐Field Model for Topology Optimization
Author(s) -
Hennig Paul,
Heindel Leonhard,
Kästner Markus
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000218
Subject(s) - isogeometric analysis , benchmark (surveying) , solver , computation , topology (electrical circuits) , topology optimization , mathematical optimization , computer science , adaptive mesh refinement , field (mathematics) , phase (matter) , mathematics , shape optimization , computational science , algorithm , finite element method , physics , engineering , structural engineering , geodesy , combinatorics , quantum mechanics , pure mathematics , geography
In this contribution, we apply adaptive isogeometric analysis to a phase‐field model for topology optimization. To increase the efficiency of the computation, we perform local mesh refinement and coarsening between the time increments of the simulation. To provide a trial solution for the iterative solver of the next increment, state variables are projected from the old to the new mesh. The quality and efficiency of the approach are tested in a two‐dimensional benchmark.