Particle method modeling of nonlocal multiresolution continua

Zili Dai, Miguel A. Bessa, Shaofan Li, Wing Kam Liu*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This work is concerned with the application of two different particle methods, the state-based peridynamics and the reproducing kernel particle method, to model the nonlocal multiresolution continuum. It is shown that both methods lead to the same results in uniform grids, and that they can offer an alternative to the finite element method based multiscale analysis. The equivalence between the two methods is explained in a comparison study, which shows that the statebased peridynamics may have better computational efficiency, but the RKPM synchronized derivative approach may have the possibility of faster convergence.

Original languageEnglish (US)
Title of host publicationMeshfree Methods for Partial Differential Equations VII
EditorsMichael Griebel, Marc Alexander Schweitzer
PublisherSpringer Verlag
Number of pages59
ISBN (Electronic)9783319068978
StatePublished - 2015
Event7th International Workshop on Meshfree Methods for Partial Differential Equations, 2013 - Bonn, Germany
Duration: Sep 9 2013Sep 11 2013

Publication series

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


Other7th International Workshop on Meshfree Methods for Partial Differential Equations, 2013


  • Micromorphic continuum
  • Multiresolution continuum
  • Reproducing kernel particle method
  • State-based peridynamics

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Engineering
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics


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