@Article{CiCP-9-1020,
author = {Pedro Galán del Sastre and Rodolfo Bermejo},
title = {A Comparison of Semi-Lagrangian and Lagrange-Galerkin <em>hp</em>-FEM Methods in Convection-Diffusion Problems},
journal = {Communications in Computational Physics},
year = {2011},
volume = {9},
number = {4},
pages = {1020--1039},
abstract = {<p style="text-align: justify;">We perform a comparison in terms of accuracy and CPU time between second
order BDF semi-Lagrangian and Lagrange-Galerkin schemes in combination with
high order finite element method. The numerical results show that for polynomials
of degree 2 semi-Lagrangian schemes are faster than Lagrange-Galerkin schemes for
the same number of degrees of freedom, however, for the same level of accuracy both
methods are about the same in terms of CPU time. For polynomials of degree larger
than 2, Lagrange-Galerkin schemes behave better than semi-Lagrangian schemes in
terms of both accuracy and CPU time; specially, for polynomials of degree 8 or larger.
Also, we have performed tests on the parallelization of these schemes and the speedup
obtained is quasi-optimal even with more than 100 processors.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.041209.160910a},
url = {http://global-sci.org/intro/article_detail/cicp/7533.html}
}