activity
20122022
most citedEfficient PDE constrained shape optimization based on Steklov-Poincaré type metrics

97 citations · 256 across the 14 of their papers we have counts for

collaborators

14 papers

math.OC2022

Gâteaux semiderivative approach applied to shape optimization for contact problems

Nico Goldammer, Volker H. Schulz, Kathrin Welker

Shape optimization problems constrained by variational inequalities (VI) are non-smooth and non-convex optimization problems. The non-smoothness arises due to the variational inequ…

math.OC2022

A Linear View on Shape Optimization

Stephan Schmidt, Volker H. Schulz

Shapes do not define a linear space. This paper explores the linear structure of deformations as a representation of shapes. This transforms shape optimization to a variant of opti…

physics.flu-dyn2022

Shape Optimization for the Mitigation of Coastal Erosion via Smoothed Particle Hydrodynamics

Luka Schlegel, Volker Schulz

Adjoint-based shape optimization most often relies on Eulerian flow field formulations. However, since Lagrangian particle methods are the natural choice for solving sedimentation…

math.OC2021★ 5 cited

Shape Optimization for the Mitigation of Coastal Erosion via Porous Shallow Water Equations

Luka Schlegel, Volker Schulz

Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groynes, breakwa…

math.OC2021★ 1 cited

Shape Optimization for the Mitigation of Coastal Erosion via the Helmholtz Equation

Luka Schlegel, Volker Schulz

Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groins, breakwat…

math.OC2021★ 1 cited

Shape Optimization for the Mitigation of Coastal Erosion via Shallow Water Equations

Luka Schlegel, Volker Schulz

Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groins, breakwat…