97 citations · 256 across the 14 of their papers we have counts for
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math.OC2014★ 49 cited
Structured inverse modeling in parabolic diffusion processess
Volker Schulz, Martin Siebenborn, Kathrin Welker
Often, the unknown diffusivity in diffusive processes is structured by piecewise constant patches. This paper is devoted to efficient methods for the determination of such structur…
math.NA2014
Towards a Lagrange-Newton approach for PDE constrained shape optimization
Volker H. Schulz, Martin Siebenborn, Kathrin Welker
The novel Riemannian view on shape optimization developed in [Schulz, FoCM, 2014] is extended to a Lagrange-Newton approach for PDE constrained shape optimization problems. The ext…