Differential reproducing kernel particle methods

Y. M. Wang, C. P. Wu, P. W. Chen, K. H. Chiu

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

Abstract

A differential reproducing kernel particle (DRKP) method is developed for solving partial differential equations governing a certain physical problem by following up the consistent concepts of the reproducing kernel particle (RKP) method. Contrary to the manipulation in RKP method, we construct a set of differential reproducing conditions to determine the shape functions for the derivatives of RK approximants. The proposed formulation is simple and easy for calculation. A point collocation approach based on the present DRKP approximations for multi-dimensional problems is formulated and applied for the static analysis of single-layer and multilayered beams and plates. It is shown that the present method indeed is a fully meshless approach with excellent accuracy and fast rate of convergence.

Original languageEnglish
Title of host publicationProceedings of the 6th International Conference on Engineering Computational Technology
Publication statusPublished - 2008 Dec 1
Event6th International Conference on Engineering Computational Technology, ECT 2008 - Athens, Greece
Duration: 2008 Sep 22008 Sep 5

Publication series

NameProceedings of the 6th International Conference on Engineering Computational Technology

Other

Other6th International Conference on Engineering Computational Technology, ECT 2008
CountryGreece
CityAthens
Period08-09-0208-09-05

All Science Journal Classification (ASJC) codes

  • Computer Science(all)

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