Multiresolution reproducing kernel particle methods

W. K. Liu*, W. Hao, Y. Chen, S. Jun, J. Gosz

*Corresponding author for this work

Research output: Contribution to journalArticle

75 Scopus citations

Abstract

Reproducing Kernel Particle Methods (RKPM) with a built-in feature of multiresolution analysis are addressed. Some fundamental concepts such as reproducing conditions, and correction function are constructed to systematize the framework of RKPM. In particular, Fourier analysis, as a tool, is exploited to further elaborate RKPM in the frequency domain. Furthermore, we address error estimation and convergence properties. We present several applications which confirm the widespread applicability of multiresolution RKPM.

Original languageEnglish (US)
Pages (from-to)295-309
Number of pages15
JournalComputational Mechanics
Volume20
Issue number4
DOIs
StatePublished - Jan 1 1997

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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