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20212024
most citedShape Optimization for the Mitigation of Coastal Erosion via Porous Shallow Water Equations

5 citations · 7 across the 4 of their papers we have counts for

collaborators

5 papers

math.OC2024

A Probabilistic Approach to Shape Derivatives

Luka Schlegel, Volker Schulz, Frank T. Seifried +1

We introduce a novel mesh-free and direct method for computing the shape derivative in PDE-constrained shape optimization problems. Our approach is based on a probabilistic represe…

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…