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Thesis

Computing multiple solutions of topology optimization problems

Abstract:

Topology optimization finds the optimal material distribution of a continuum in a domain, subject to PDE and volume constraints. Density-based models often result in a PDE, volume and inequality constrained, nonconvex, infinite-dimensional optimization problem. These problems can exhibit many local minima. In practice, heuristics are used to aid the search for better minima, but these can fail even in the simplest of cases.

In this thesis we address two core issues related to the n...

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Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Research group:
Numerical analysis
Oxford college:
Keble College
Role:
Author
ORCID:
0000-0003-3522-8761

Contributors

Institution:
Philipps-Universität Marburg
Role:
Contributor
Institution:
University of Oxford
Role:
Supervisor
ORCID:
0000-0002-1241-7060
Institution:
University of Oxford
Role:
Supervisor
ORCID:
0000-0002-0812-6105
More from this funder
Programme:
EPSRC Centre for Doctoral Training in Partial Differential Equations: Analysis and Applications
Funding agency for:
Papadopoulos, IPA
Grant:
EP/L015811/1
More from this funder
Programme:
The MathWorks, Inc. scholarship
Funding agency for:
Papadopoulos, IPA
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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