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A multiplicative Schwarz method with active subdomains for transient convection–diffusion problems
Author(s) -
Sandoval M. L.,
RodríguezFerran A.
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1239
Subject(s) - schwarz alternating method , multiplicative function , conjugate gradient method , transient (computer programming) , cholesky decomposition , convection–diffusion equation , convection , mathematics , factorization , diffusion , mathematical optimization , computer science , mathematical analysis , mechanics , physics , algorithm , domain decomposition methods , finite element method , thermodynamics , eigenvalues and eigenvectors , quantum mechanics , operating system
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. Copyright © 2009 John Wiley & Sons, Ltd.