13 citations · 13 across the 2 of their papers we have counts for
7 papers
Rigidity of Euclidean product structure: breakdown for low Sobolev exponents
Bruce Kleiner, Stefan Müller, László Székelyhidi +1
We develop a general toolbox to study solutions of differential inclusions for unbounded sets . A key notion is the concept that a subset of the s…
Scaling of the elastic energy of small balls for maps between manifolds with different curvature tensors
Milan Krömer, Stefan Müller
Motivated by experiments and formal asymptotic expansions in the physics literature, Maor and Shachar (J. Elasticity 134 (2019), 149-173) studied the behaviour of a model elastic e…
Cauchy-Born Rule from Microscopic Models with Non-convex Potentials
Stefan Adams, Simon Buchholz, Roman Kotecký +1
We study gradient field models on an integer lattice with non-convex interactions. These models emerge in distinct branches of physics and mathematics under various names. In parti…
Optimal order finite difference approximation of generalized solutions to the biharmonic equation in a cube
Stefan Müller, Florian Schweiger, Endre Süli
We prove an optimal order error bound in the discrete norm for finite difference approximations of the first boundary-value problem for the biharmonic equation in spac…
Estimates for the Green's function of the discrete bilaplacian in dimensions 2 and 3
Stefan Müller, Florian Schweiger
We prove estimates for the Green's function of the discrete bilaplacian in squares and cubes in two and three dimensions which are optimal except possibly near the corners of the s…
Data driven problems in elasticity
Sergio Conti, Stefan Müller, Michael Ortiz
We consider a new class of problems in elasticity, referred to as Data-Driven problems, defined on the space of strain-stress field pairs, or phase space. The problem consists of m…