Variants of the Finite Element Method for the Parabolic Heat Equation: Comparative Numerical Study
Numerical Analysis
2020-05-26 v1 Numerical Analysis
Abstract
Different variants of the method of weighted residual finite element method are used to get a solution for the parabolic heat equation, which is considered to be the model equation for the steady state Navier-Stokes equations. Results show that the Collocation and the Least-Squares variants are more suitable for first order systems. Results also show that the Galerkin/Least-Squares method is more diffusive than other methods, and hence gives stable solutions for a wide range of P\'eclet numbers.
Keywords
Cite
@article{arxiv.2005.11860,
title = {Variants of the Finite Element Method for the Parabolic Heat Equation: Comparative Numerical Study},
author = {Ahmed A. Hamada and Mahmoud Ayyad and Amr Guaily},
journal= {arXiv preprint arXiv:2005.11860},
year = {2020}
}
Comments
11 pages, 10 figures, conference