Computational & Technology Resources
an online resource for computational,
engineering & technology publications
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

Full Bibliographic Reference for this paper
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.

download the full-text of this paper (PDF, 6 pages, 270 Kb)

go to the previous paper
go to the next paper
return to the table of contents
return to the volume description