Double grid diffuse collocation method - Université de technologie de Compiègne Access content directly
Journal Articles Computational Mechanics Year : 2000

Double grid diffuse collocation method

Piotr Breitkopf
  • Function : Author
Pierre Villon
  • Function : Author
  • PersonId : 872911


In the present paper we propose a new method for constructing a second order Moving Least Squares (MLS) approximation. The method leads to shape functions which are then used for solving Partial Differential Equations (PDE) by a collocation method. This work is an extension of the Generalized Finite Difference Method originally proposed by Liszka and Orkisz (GFDM). However it differs from GFDM by using a sequence of two first order numerical derivations based on linear polynomial basis instead of a second order derivation based on a quadratic polynomial basis. This two-stage approach leads to continuous approximation coefficients using a limited number of surrounding points and results into quite a simple program structure, very similar to that of the finite elements. The method is in an early stage of development so no definitive conclusions may be drawn, however example problems exhibit good convergence properties.
Fichier principal
Vignette du fichier
Breitkopf2000.pdf (287.43 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01994275 , version 1 (19-08-2019)



Piotr Breitkopf, Gilbert Touzot, Pierre Villon. Double grid diffuse collocation method. Computational Mechanics, 2000, 25 (2-3), pp.199-206. ⟨10.1007/s004660050469⟩. ⟨hal-01994275⟩
38 View
133 Download



Gmail Facebook X LinkedIn More