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

Abstract

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
Pages271-290
Number of pages20
StatePublished - Dec 1 2005

Publication series

NameLecture Notes in Computational Science and Engineering
Volume43
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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  • Cite this

    Liu, W. K., Zhang, L. T., Karpov, E. G., Kadowaki, H., & Park, H. (2005). Bridging Scale Particle And Finite Element Methods. In Meshfree Methods for Partial Differential Equations II (pp. 271-290). (Lecture Notes in Computational Science and Engineering; Vol. 43).