21 citations · 65 across the 33 of their papers we have counts for
48 papers
A capillary problem, its dimension reduction, and its phase-field approximation
Patrick Dondl, Lars Pastewka, Luciano Sciaraffia +1
We study the behaviour of a given volume of liquid confined between two rough solid plates. When the separation between the plates is small relative to the liquid volume, capillary…
Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs
Oluwatosin Akande, Patrick Dondl, Kanan Gupta +2
We study the momentum-based minimization of a diffuse perimeter functional on Euclidean spaces and on graphs with applications to semi-supervised classification tasks in machine le…
Non-local homogenization limits of discrete elastic spring network models with random coefficients
Patrick Dondl, Martin Heida, Simone Hermann
This work examines a discrete elastic energy system with local interactions described by a discrete second-order functional in the symmetric gradient and additional non-local rando…
-convergence of a discrete Kirchhoff rod energy
Patrick Dondl, Coffi Aristide Hounkpe, Martin Jesenko
This work is motivated by the classical discrete elastic rod model by Audoly et al. We derive a discrete version of the Kirchhoff elastic energy for rods undergoing bending and tor…
Efficient uncertainty quantification for mechanical properties of randomly perturbed elastic rods
Patrick Dondl, Yongming Luo, Stefan Neukamm +1
Motivated by an application involving additively manufactured bioresorbable polymer scaffolds supporting bone tissue regeneration, we investigate the impact of uncertain geometry p…
Analysis of a sinc-Galerkin Method for the Fractional Laplacian
Harbir Antil, Patrick Dondl, Ludwig Striet
We provide the convergence analysis for a sinc-Galerkin method to solve the fractional Dirichlet problem. This can be understood as a follow-up of an earlier article by the same au…