On the natural stabilization of convection diffusion problems using LPIM meshless method

Document Type : Research Paper


1 Department of Mechanical Engineering, University of Kashan, Kashan, Iran

2 School of Engineering, University of Warwick, Coventry, United Kingdom


By using the finite element $p$-Version in convection-diffusion problems, we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element $p$-Version is augmentation degrees of freedom. Based on the fact that the finite element and the meshless methods have similar concept, it is obvious that many ideas in the finite element can be easily used in the meshless methods. Hence, in this study, the concept of the finite element $p$-Version is applied in the LPIM meshfree method. The results prove that increasing degrees of freedom limits artificial numerical oscillations occurred in very large Peclet numbers.


Volume 8, Issue 2
December 2017
Pages 9-22
  • Receive Date: 03 December 2015
  • Revise Date: 08 June 2016
  • Accept Date: 14 August 2016