Bridging methods for coupling atomistic and continuum models

Santiago Badia, Pavel Bochev, Max Gunzburger, Richard Lehoucq, Michael Parks

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

2 Citations (Scopus)

Abstract

We review some recent developments in the coupling of atomistic and continuum models based on the blending of the two models in a bridge region connecting the other two regions in which the models are separately applied. We define four such models and subject them to patch and consistency tests. We also discuss important implementation issues such as: the enforcement of displacement continuity constraints in the bridge region; and how one defines, in two and three dimensions, the blending function that is a basic ingredient in the methods.

Original languageEnglish
Title of host publicationLarge-Scale Scientific Computing - 6th International Conference, LSSC 2007, Revised Papers
Pages16-27
Number of pages12
DOIs
Publication statusPublished - 1 Dec 2008
Externally publishedYes
Event6th International Conference on Large-Scale Scientific Computing, LSSC 2007 - Sozopol, Bulgaria
Duration: 5 Jun 20079 Jun 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4818 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference6th International Conference on Large-Scale Scientific Computing, LSSC 2007
CountryBulgaria
CitySozopol
Period5/06/079/06/07

Keywords

  • Atomistic to continuum coupling
  • Blended coupling
  • Molecular statics

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