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Civil-Comp Conferences
ISSN 2753-3239 CCC: 2
PROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: B.H.V. Topping and P. Iványi
Paper 4.8
Nonlinear Preconditioning of Phase-Field based Structural Topology Optimization Problems R. Tavakoli and D. Tourret
IMDEA Materials Institute, Madrid, Spain R. Tavakoli, D. Tourret, "Nonlinear Preconditioning of Phase-Field based
Structural Topology Optimization Problems", in B.H.V. Topping, P. Iványi, (Editors), "Proceedings of the Eleventh International Conference on Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK,
Online volume: CCC 2, Paper 4.8, 2022, doi:10.4203/ccc.2.4.8
Keywords: diffuse interface modeling, nonlinear preconditioning, phase-field
modeling, topology optimization.
Abstract
The nonlinear preconditioning of phase-field based topology optimization problems
is considered in the present work. In this method, the leading order solution of inner
problem corresponding the phase-filed PDE is used as the nonlinear transformation
of phase-field variable. The transformed problem exhibits a similar structure to the
original problem, possibly with higher nonlinearity. The method is applied to the
volume constrained minimum compliance topology optimization problem. Numerical
experiments illustrate the superior performance of this approach compared to nonpreconditioned
form of problem. The method is general and easy to implement, and
it can be readily extended to alternative problems.
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