Bridging Scale Particle And Finite Element Methods

Wing K Liu, Lucy T. Zhang, Eduard G. Karpov, Hiroshi Kadowaki, Harold Park

Research output: Chapter in Book/Report/Conference proceedingChapter


We summarize the strengths and limitations of currently available multiple-scale techniques, where the emphasis is made on the latest prospective approaches, such as the bridging scale method, multiscale boundary conditions, and multiscale fluidics. Example problems, in which multiple-scale simulation methods yield equivalent results to full atomistic simulations at fractions of the computational cost, are shown. We conclude by discussing future research directions and needs in multiple-scale analysis, and also discuss the ramifications of the integration of current nanoscale research into education.

Original languageEnglish (US)
Title of host publicationMeshfree Methods for Partial Differential Equations II
Number of pages20
StatePublished - Dec 1 2005

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics


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