Computing multiple solutions of topology optimization problems

IPA Papadopoulos, PE Farrell, TM Surowiec - SIAM Journal on Scientific …, 2021 - SIAM
Topology optimization problems often support multiple local minima due to a lack of
convexity. Typically, gradient-based techniques combined with continuation in model …

Energy stable gradient flow schemes for shape and topology optimization in Navier-Stokes flows

J Li, S Zhu - arxiv preprint arxiv:2405.05098, 2024 - arxiv.org
We study topology optimization governed by the incompressible Navier-Stokes flows using a
phase field model. Novel stabilized semi-implicit schemes for the gradient flows of Allen …

Numerical analysis of a discontinuous Galerkin method for the Borrvall--Petersson topology optimization problem

IPA Papadopoulos - SIAM Journal on Numerical Analysis, 2022 - SIAM
Divergence-free discontinuous Galerkin (DG) finite element methods offer a suitable
discretization for the pointwise divergence-free numerical solution of Borrvall and …

Numerical analysis of the SIMP model for the topology optimization of minimizing compliance in linear elasticity

I Papadopoulos - arxiv preprint arxiv:2211.04249, 2022 - arxiv.org
We study the finite element approximation of the solid isotropic material with penalization
(SIMP) model for the topology optimization of the compliance of a linearly elastic structure …

Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity

IPA Papadopoulos - Numerische Mathematik, 2024 - Springer
We study the finite element approximation of the solid isotropic material with penalization
method (SIMP) for the topology optimization problem of minimizing the compliance of a …