5 papers
Dynamical Optimal Transport with -Invariance: From Theory to Computation
Kevine Meugang Toukam, Max von Renesse, Johannes Storn
We introduce a modified Benamou--Brenier (MBB) formulation of optimal transport that incorporates Euclidean invariance at the dynamical level. We establish existence of minimizers…
Guaranteed upper bounds for iteration errors and modified Kacanov schemes via discrete duality
Lars Diening, Johannes Storn
We apply duality theory to discretized convex minimization problems to obtain computable guaranteed upper bounds for the distance of given discrete functions and the exact discrete…
Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation
Lars Diening, Johannes Storn, Tabea Tscherpel
We develop a recursive integration formula for a class of rational polynomials in 2D. Based on this, we present implementations of finite elements that have rational basis function…
Examples of -harmonic maps
Anna Balci, Linus Behn, Lars Diening +1
We construct explicit examples of -harmonic maps . These are more irregular than the previously known examples and thus provide new upper bounds…
Adaptive Mesh Refinement for arbitrary initial Triangulations
Lars Diening, Lukas Gehring, Johannes Storn
We introduce a simple initialization of the Maubach bisection routine for adaptive mesh refinement which applies to any conforming initial triangulation and terminates in linear ti…