14 citations · 77 across the 16 of their papers we have counts for
22 papers
A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: Discretization with geometric finite elements
Lisa Julia Nebel, Oliver Sander, Mircea Bîrsan +1
We investigate discretizations of a geometrically nonlinear elastic Cosserat shell with nonplanar reference configuration originally introduced by Bîrsan, Ghiba, Martin, and Neff i…
Representative volume element approximations in elastoplastic spring networks
Sabine Haberland, Patrick Jaap, Stefan Neukamm +2
We study the large-scale behavior of a small-strain lattice model for a network composed of elastoplastic springs with random material properties. We formulate the model as an evol…
Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere
Sören Bartels, Klaus Böhnlein, Christian Palus +1
We numerically benchmark methods for computing harmonic maps into the unit sphere, with particular focus on harmonic maps with singularities. For the discretization we compare two…
A homogenized bending theory for prestrained plates
Klaus Böhnlein, Stefan Neukamm, David Padilla-Garza +1
The presence of prestrain can have a tremendous effect on the mechanical behavior of slender structures. Prestrained elastic plates show spontaneous bending in equilibrium -- a pro…
Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture
Jendrik Voss, Robert J. Martin, Oliver Sander +3
Deciding whether a given function is quasiconvex is generally a difficult task. Here, we discuss a number of numerical approaches that can be used in the search for a counterexampl…
Conforming Finite Elements for and
Oliver Sander
We construct conforming finite elements for the spaces and . Those are spaces of matrix-valued functions with s…