Numerical Performance of Incomplete Factorizations for 3D Transient Convection-Diffusion Problems

Author (s): A. Rodríguez-Ferran and M. L. Sandoval
Journal: Advances in Engineering Software

Volume: 38, Issue 6
Pages: 439 – 450
Date: 2007

Many environmental processes can be modelled as transient convection-diffusion-reaction problems. This is the case, for instance, of the operation of activated-carbon filters. For industrial applications there is a growing demand for 3D simulations, so efficient linear solvers are a major concern. We have compared the numerical performance of two families of incomplete Cholesky factorizations as preconditioners of conjugate gradient iterations: drop-tolerance and prescribed-memory strategies.
Numerical examples show that the former are computationally more efficient, but the latter may be preferable due to their predictable memory requirements.



author = "Rodríguez-Ferran, A. and Sandoval, M.L.",
title = "Numerical performance of incomplete factorizations for 3D transient convection–diffusion problems ",
journal = "Advances in Engineering Software ",
volume = "38",
number = "6",
pages = "439 - 450",
year = "2007",
note = "Advances in Numerical Methods for Environmental Engineering ",
issn = "0965-9978",
doi = "http://dx.doi.org/10.1016/j.advengsoft.2006.09.003",
url = "http://www.sciencedirect.com/science/article/pii/S0965997806001323",