4 papers
A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges
Stephan Schmidt, Melanie Gräßer, Hans-Joachim Schmid
We present a second order numerical scheme to compute capillary bridges between arbitrary solids by minimizing the total energy of all interfaces. From a theoretical point of view,…
Discrete Total Variation of the Normal Vector Field as Shape Prior with Applications in Geometric Inverse Problems
Ronny Bergmann, Marc Herrmann, Roland Herzog +2
An analogue of the total variation prior for the normal vector field along the boundary of piecewise flat shapes in 3D is introduced. A major class of examples are triangulated sur…
Total Variation of the Normal Vector Field as Shape Prior
Ronny Bergmann, Marc Herrmann, Roland Herzog +2
An analogue of the total variation prior for the normal vector field along the boundary of smooth shapes in 3D is introduced. The analysis of the total variation of the normal vect…
An Approximate Newton Smoothing Method for Shape Optimization
Jonas Kusch, Stephan Schmidt, Nicolas R. Gauger
A novel methodology to efficiently approximate the Hessian for numerical shape optimization is considered. The method enhances operator symbol approximations by including body fitt…