Advances in multiple scale kernel particle methods

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1996Publisher:Springer Science and Business Media LLCJournal:Computational Mechanics, volume 18, pages 73-111 (issn: 0178-7675, eissn: 1432-0924,

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Authors: Liu, W. K.; Chen, Y.; Chang, C. T.; Belytschko, T.;

doi: 10.1007/s004660050131 , 10.1007/bf00350529

Advances in multiple scale kernel particle methods

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Abstract

A novel approach to multiresolution analysis based on reproducing kernel particle methods (RKPM) and wavelets is presented. The concepts of reproducing conditions, discrete convolutions, and multiple scale analysis are described. By means of a newly proposed semidiscrete Fourier analysis, RKPM is further elaborated in the frequency domain, and the interpolation estimate and the convergence of Galerkin solutions are given. The current application areas of RKPM include structural acoustics, structural dynamics, elastic-plastic deformation, computational fluid dynamics and hyperelasticity.

Related Organizations

Northwestern University
United States

Keywords

Numerical and other methods in solid mechanics, interpolation estimate, reproducing conditions, discrete convolutions, Basic methods in fluid mechanics, frequency domain, convergence of Galerkin solutions, wavelets, semidiscrete Fourier analysis

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