A partitioned-domain multiscale method is a computational framework in which certain key
regions are modeled atomistically while most of the domain is treated with an approximate …

Atomistic-to-continuum (a/c) coupling methods are a class of computational multiscale
schemes that combine the accuracy of atomistic models with the efficiency of continuum …

The aim of this monograph is to describe the main concepts and recent-vances in
multiscale? nite element methods. This monograph is intended for …

In this work, we propose to extend the Arlequin framework to couple particle and continuum
models. Three different coupling strategies are investigated based on the L 2 norm, H 1 …

It is common knowledge that the accuracy with which computer simulations can depict
physical events depends strongly on the choice of the mathematical model of the events …

The quasicontinuum (QC) method coarse-grains crystalline atomic ensembles in order to
bridge the scales from individual atoms to the micro-and mesoscales. A crucial cornerstone …

In this work, the notion of a posteriori estimation and control of modeling error is extended to
large-scale problems in molecular statics. The approaches developed here involve …

This paper addresses the problem of consistent energy-based coupling of atomistic and
continuum models of materials, limited to zero-temperature statics of simple crystals. It has …

We propose in this paper a 1D model problem to study the convergence of surrogate
approximations, using an atomistic-to-continuum coupling method, towards the solution of a …

The next generation of aircraft will face more challenging demands in both electrical and
thermal loads. The larger thermal loads reduce the propulsion system efficiency by …