97 citations · 335 across the 19 of their papers we have counts for
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math.OC2020★ 19 cited
Mesh quality preserving shape optimization using nonlinear extension operators
Sofiya Onyshkevych, Martin Siebenborn
In this article, we propose a shape optimization algorithm which is able to handle large deformations while maintaining a high level of mesh quality. Based on the method of mapping…
math.OC2020★ 3 cited
A continuous perspective on modeling of shape optimal design problems
Johannes Haubner, Martin Siebenborn, Michael Ulbrich
In this article we consider shape optimization problems as optimal control problems via the method of mappings. Instead of optimizing over a set of admissible shapes a reference do…