Heterogeneous multiscale methods: A review
2007 (English)In: Communications in Computational Physics, ISSN 1815-2406, Vol. 2, no 3, 367-450 p.Article, review/survey (Refereed) Published
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.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-74148ISI: 000246378800001OAI: oai:DiVA.org:kth-74148DiVA: diva2:489246
QC 201203062012-02-022012-02-022012-03-06Bibliographically approved