9 citations · 19 across the 7 of their papers we have counts for
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math.NA2026
On the linearised force balance condition in the analysis of atomistic dislocation models
Julian Braun, Thomas Hudson
A technical condition arising in the analysis of atomistic models for dislocations is studied. Key estimates for the far-field strain behaviour proved in Ehrlacher, Ortner, Shapeev…
math.NA2022★ 1 cited
Higher-order Far-field Boundary Conditions for Crystalline Defects
Julian Braun, Christoph Ortner, Yangshuai Wang +1
Crystalline materials exhibit long-range elastic fields due to the presence of defects, leading to significant domain size effects in atomistic simulations. A rigorous far-field ex…
math.NA2018
Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect
Julian Braun, Christoph Ortner
We consider the geometry relaxation of an isolated point defect embedded in a homogeneous crystalline solid, within an atomistic description. We prove a sharp convergence rate for…