Change search
ReferencesLink to record
Permanent link

Direct link
Heterogeneous multiscale methods: A review
University of Texas, Austin.
Show others and affiliations
2007 (English)In: Communications in Computational Physics, ISSN 1815-2406, Vol. 2, no 3, 367-450 p.Article, review/survey (Refereed) Published
Abstract [en]

This paper gives a systematic introduction to HMM, the heterogeneous multiscale methods, including the fundamental design principles behind the HMM philosophy and the main obstacles that have to be overcome when using HMM for a particular problem. This is illustrated by examples from several application areas, including complex fluids, micro-fluidics, solids, interface problems, stochastic problems, and statistically self-similar problems. Emphasis is given to the technical tools, such as the various constrained molecular dynamics, that have been developed, in order to apply HMM to these problems. Examples of mathematical results on the error analysis of HMM are presented. The review ends with a discussion on some of the problems that have to be solved in order to make HMM a more powerful tool.

Place, publisher, year, edition, pages
2007. Vol. 2, no 3, 367-450 p.
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-74148ISI: 000246378800001OAI: diva2:489246
QC 20120306Available from: 2012-02-02 Created: 2012-02-02 Last updated: 2012-03-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Search in DiVA

By author/editor
Engquist, Björn
In the same journal
Communications in Computational Physics
Computer and Information Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 2843 hits
ReferencesLink to record
Permanent link

Direct link