Time accurate consistently stabilized mesh-free methods for convection dominated problems
Author (s): Huerta, A. and Fernández-Méndez, S.Journal: International Journal for Numerical Methods in Engineering
Volume: 56, Issue 9
Pages: 1225 - 1242
Date: 2003
Abstract:
The behavior of high-order time stepping methods combined with mesh-free methods is studied for the transient convection-diffusion equation. Particle methods, such as the Element-Free Galerkin (EFG) method, allow to easily increase the order of consistency and, thus, to formulate high-order schemes in space and time. Moreover, second derivatives of the EFG shape functions can be constructed with a low extra cost and are well defined, even for linear interpolation. Thus, consistent stabilization schemes can be considered without loss in the converge rates.
Bibtex:
@article{SFM-HF:03,
Author = {Antonio Huerta and Sonia Fern\'{a}ndez-M\'{e}ndez},
Title = {Time accurate consistently stabilized mesh-free methods for convection dominated problems},
Fjournal = {International Journal for Numerical Methods in Engineering},
Journal = {Int. J. Numer. Methods Eng.},
Volume = {59},
Number = {9},
Pages = {1225--1242},
Year = {2003}}
