Abstract2018-05-24T12:52:58+00:00

A multiplicative Schwarz method with active subdomains for transient convection-diffusion problems

Author (s): Sandoval, M.L. and Rodríguez-Ferran, A.
Journal: Communications in Numerical Methods in Engineering

Volume: 26, Issue 12
Pages: 1573 – 1585
Date: 2010

Abstract:
An efficient algorithm to find the solution of transient convection-diffusion problems with dominant convection is presented. The main idea is to follow the solution front and activate those subdomains where the solution satisfies a given threshold value. We call this novel method “the multiplicative Schwarz method with active subdomains”, and it is motivated by the solution of a problem from activated-carbon filters used in the automotive industry to reduce emissions. Numerical experiments show that this method is more efficient than the preconditioned conjugate gradient method with an incomplete Cholesky factorization.

  
  

Bibtex:

@article {2010-CNME-SR,
author = {Sandoval, M. L. and Rodríguez-Ferran, A.},
title = {A multiplicative Schwarz method with active subdomains for transient convection–diffusion problems},
journal = {International Journal for Numerical Methods in Biomedical Engineering},
volume = {26},
number = {12},
pages = {1573--1585},
issn = {2040-7947},
url = {http://dx.doi.org/10.1002/cnm.1239},
doi = {10.1002/cnm.1239},
year = {2010},
}