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Article
A dual mesh method with adaptivity for stress-constrained topology optimization
This paper is concerned with the topological optimization of elastic structures, with the goal of minimizing the compliance and/or mass of the structure, subject to a stress constraint. It is well known that d...
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Article
A Practical Factorization of a Schur Complement for PDE-Constrained Distributed Optimal Control
A distributed optimal control problem with the constraint of a linear elliptic partial differential equation is considered. A necessary optimality condition for this problem forms a saddle point system, the ef...
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Article
Design optimization using hyper-reduced-order models
Solving large-scale PDE-constrained optimization problems presents computational challenges due to the large dimensional set of underlying equations that have to be handled by the optimizer. Recently, projecti...