On the performance of certain direct and iterative methods on equations arising on a two-dimensional in situ combustion simulator

Basit Öğe Kaydı
dc.authorwosidBahadır, Ahmet Refik/AAA-3878-2021
dc.contributor.authorBahadir, AR
dc.contributor.authorEllerby, FB
dc.date.accessioned2024-08-04T20:13:12Z
dc.date.available2024-08-04T20:13:12Z
dc.date.issued2002
dc.departmentİnönü Üniversitesien_US
dc.description.abstractA two-dimensional mathematical model of the in situ combustion process involves a set of nonlinear partial differential equations. These equations are discretized in implicit finite-difference form. The resulting set of nonlinear algebraic equations are solved for each time-step by use of a Newton-Raphson procedure. Each Newton iteration produces an equation of the form Ax = b, (*) where x is the Newton update, b is the current residual of the nonlinear equations and A is the Jacobian matrix. A is lar-e and has a non-symmetric, sparse structure. In this current work we wish to compare the performance of LU factorization, ORTHO-MIN(m) and more recent iterative methods, GMRES(m) and BI-CGSTAB to solve (*) on the model of the in situ combustion problem. To increase the convergence rate for the iterative methods a preconditioning and a scaling technique are used. (C) 2002 Elsevier Science Inc. All rights reserved.en_US
dc.identifier.doi10.1016/S0096-3003(00)00136-3
dc.identifier.endpage358en_US
dc.identifier.issn0096-3003
dc.identifier.issue2-3en_US
dc.identifier.scopus2-s2.0-0037168940en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage347en_US
dc.identifier.urihttps://doi.org/10.1016/S0096-3003(00)00136-3
dc.identifier.urihttps://hdl.handle.net/11616/93469
dc.identifier.volume125en_US
dc.identifier.wosWOS:000172361600017en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectin situ combustionen_US
dc.subjectGMRESen_US
dc.subjectORTHOMINen_US
dc.subjectBI-CGSTABen_US
dc.titleOn the performance of certain direct and iterative methods on equations arising on a two-dimensional in situ combustion simulatoren_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu