Title of article :
On the natural stabilization of convection diffusion problems using LPIM meshless method
Arefmanesh, Ali Department of Mechanical Engineering - University of Kashan, Kashan , Abbaszadeh, Mahmoud 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 articial numerical oscillations
occurred in very large Peclet numbers.
LPIM meshless method , natural stabilization , p-Version finite element method
Journal title :