C. Ortner

activity

20082023

most citedPhysics-inspired structural representations for molecules and materials

522 citations · 2.1k across the 73 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.NA2012★ 2 cited

Symmetries of 2-lattices and second order accuracy of the Cauchy--Born Model

Brian Van Koten, Christoph Ortner

We show that the Cauchy--Born model of a single-species 2-lattice is second order if the atomistic and continuum kinematics are connected in a novel way. Our proof uses a generaliz…

math.AP2012★ 21 cited

A Note on Linear Elliptic Systems on $R^{d}$

Christoph Ortner, Endre Suli

We are concerned with the well-posedness of linear elliptic systems posed on $R^{d}$ . The concrete problem of interest, for which we require this theory, arises from the lin…

math.AP2012★ 8 cited

Nonlinear Elasticity from Atomistic Mechanics

C. Ortner, F. Theil

We present sharp convergence results for the Cauchy--Born approximation of general classical atomistic interactions, for both static and dynamic problems, for small data.

Symmetries of 2-lattices and second order accuracy of the Cauchy--Born Model

A Note on Linear Elliptic Systems on Rd

Nonlinear Elasticity from Atomistic Mechanics

A Note on Linear Elliptic Systems on $R^{d}$