97 citations · 335 across the 19 of their papers we have counts for
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math.OC2019★ 6 cited
A shape optimization algorithm for cellular composites
Martin Siebenborn, Andreas Vogel
We propose and investigate a mesh deformation technique for PDE constrained shape optimization. Introducing a gradient penalization to the inner product for linearized shape spaces…
math.NA2019★ 2 cited
A Multigrid Preconditioner for Tensor Product Spline Smoothing
Martin Siebenborn, Julian Wagner
Uni- and bivariate data smoothing with spline functions is a well established method in nonparametric regression analysis. The extension to multivariate data is straightforward, bu…