Loading...
Loading...

Go to the content (press return)

Analysis of a consistency recovery method for the 1D convection–diffusion equation using linear finite elements

Author
Nadukandi, P.; Oñate, E.; Garcia, J.
Type of activity
Journal article
Journal
International journal for numerical methods in fluids
Date of publication
2008-07
Volume
57
Number
9
First page
1291
Last page
1320
DOI
https://doi.org/10.1002/fld.1863 Open in new window
Repository
https://www.researchgate.net/publication/230252610_Analysis_of_a_consistency_recovery_method_for_the_1D_convection-diffusion_equation_using_linear_finite_elements Open in new window
URL
http://onlinelibrary.wiley.com/doi/10.1002/fld.1863/abstract Open in new window
Abstract
For residual-based stabilization methods such as streamline-upwind Petrov–Galerkin (SUPG) and finite calculus (FIC), the higher-order derivatives of the residual that appear in the stabilization term vanish when simplicial elements are used. The sub-grid scale method using orthogonal sub-scales (OSS) attempts to recover the lost consistency by using a fine-scale projected residual in the stabilization term. The FIC method may also be cast into an OSS form with very little manipulation using an...
Keywords
consistent discrete residual, discrete dispersion relation, finite calculus, finite element, stabilized methods
Group of research
(MC)2 - UPC Computational continuum mechanics
GMNE - Numerical Methods in Engineering Group
TRANSMAR - Research group on maritime transport and logistics

Participants