13 citations
4 papers
Linear Stationary Iterative Methods for the Force-based Quasicontinuum Approximation
Mitchell Luskin, Christoph Ortner
Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementin…
Sharp Stability Estimates for the Force-based Quasicontinuum Method
Matthew Dobson, Mitchell Luskin, Christoph Ortner
A sharp stability analysis of atomistic-to-continuum coupling methods is essential for evaluating their capabilities for predicting the formation and motion of lattice defects. We…
The critical group of a line graph
Andrew Berget, Andrew Manion, Molly Maxwell +2
The critical group of a graph is a finite abelian group whose order is the number of spanning forests of the graph. This paper provides three basic structural results on the critic…
Zitterbewegung of a Model Universe
R. B. Mann, G. L. Murphy
We investigate the quantum evolution of the metric operators for Bianchi-Type I model universes in the Heisenberg picture in order to remove the need to consider the wave function…