4 citations · 5 across the 5 of their papers we have counts for
7 papers
Theoretical Study of Elastic Far-Field Decay from Dislocations in Multilattices
Derek Olson, Christoph Ortner, Yangshuai Wang +1
We precisely and rigorously characterise the decay of elastic fields generated by dislocations in crystalline materials, focusing specifically on the role of multilattices. Concret…
Force-Based Atomistic/Continuum Blending for Multilattices
Derek Olson, Xingjie Li, Christoph Ortner +1
We formulate the blended force-based quasicontinuum (BQCF) method for multilattices and develop rigorous error estimates in terms of the approximation parameters: atomistic region,…
Regularity and Locality of Point Defects in Multilattices
Derek Olson, Christoph Ortner
We formulate a model for a point defect embedded in a homogeneous multilattice crystal with an empirical interatomic potential interaction. Under a natural, phonon stability assump…
Petviashvilli's Method for the Dirichlet Problem
Derek Olson, Soumitra Shukla, Gideon Simpson +1
We examine the Petviashvilli method for solving the equation on a bounded domain with Dirichlet boundary conditions. We prove a local…
Analysis of an optimization-based atomistic-to-continuum coupling method for point defects
Derek Olson, Alexander V. Shapeev, Pavel Bochev +1
We formulate and analyze an optimization-based Atomistic-to-Continuum (AtC) coupling method for problems with point defects. Near the defect core the method employs a potential-bas…
Development of an Optimization-Based Atomistic-to-Continuum Coupling Method
Derek Olson, Pavel Bochev, Mitchell Luskin +1
Atomistic-to-Continuum (AtC) coupling methods are a novel means of computing the properties of a discrete crystal structure, such as those containing defects, that combine the accu…
An Optimization-Based Atomistic-to-Continuum Coupling Method
Derek Olson, Pavel Bochev, Mitchell Luskin +1
We present a new optimization-based method for atomistic-to-continuum (AtC) coupling. The main idea is to cast the coupling of the atomistic and continuum models as a constrained o…