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oai:recercat.cat:2117/87692026-01-24T04:41:14Zcom_2072_1033col_2072_452950

A multiplicative Schwarz method with active subdomains for transient convection-diffusion problems Sandoval Solis, M. Luisa Rodríguez Ferran, Antonio Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics Numerical methods and algorithms Filters and filtration Algorismes Filtres actius Anàlisi numèrica 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. Postprint (published version) 2009-02-04 Article Sandoval, M.; Rodríguez, A. A multiplicative Schwarz method with active subdomains for transient convection-diffusion problems. "Communications in numerical methods in engineering", 04 Febrer 2009. 1069-8299 https://hdl.handle.net/2117/8769 10.1002/cnm.1239 eng http://www3.interscience.wiley.com/cgi-bin/fulltext/122267221/PDFSTART http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain application/pdf