522 citations · 2.1k across the 73 of their papers we have counts for
4 papers · 1 filter
An Efficient Dimer Method With Preconditioning And Linesearch
N. Gould, C. Ortner, D. Packwood
The dimer method is a Hessian-free algorithm for computing saddle points. We augment the method with a linesearch mechanism for automatic step size selection as well as preconditio…
Atomistic/Continuum Blending with Ghost Force Correction
Christoph Ortner, Lei Zhang
We combine the ideas of atomistic/continuum energy blending and ghost force correction to obtain an energy-based atomistic/continuum coupling scheme which has, for a range of bench…
Analysis of Blended Atomistic/Continuum Hybrid Methods
Xingjie Helen Li, Christoph Ortner, Alexander V. Shapeev +1
We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupling methods of blending type: the energy-based and the force-based quasicontinuum methods.…
Analysis of stable screw dislocation configurations in an anti--plane lattice model
Thomas Hudson, Christoph Ortner
We consider a variational anti-plane lattice model and demonstrate that at zero temperature, there exist locally stable states containing screw dislocations, given conditions on th…