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math-ph2019★ 10 cited
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…
math.NA2019
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…