Dynamics with Matrices Possessing Kronecker Product Structure

Handle URI:
http://hdl.handle.net/10754/556644
Title:
Dynamics with Matrices Possessing Kronecker Product Structure
Authors:
Łoś, M.; Wózniak, M.; Paszynśki, M.; Dalcin, L.; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
In this paper we present an application of Alternating Direction Implicit (ADI) algorithm for solution of non-stationary PDE-s using isogeometric finite element method. We show that ADI algorithm has a linear computational cost at every time step. We illustrate this approach by solving two example non-stationary three-dimensional problems using explicit Euler and Newmark time-stepping scheme: heat equation and linear elasticity equations for a cube. The stability of the simulation is controlled by monitoring the energy of the solution.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Dynamics with Matrices Possessing Kronecker Product Structure 2015, 51:286 Procedia Computer Science
Journal:
Procedia Computer Science
Conference/Event name:
International Conference on Computational Science, ICCS 2002
Issue Date:
1-Jun-2015
DOI:
10.1016/j.procs.2015.05.243
Type:
Conference Paper
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S1877050915010510
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorŁoś, M.en
dc.contributor.authorWózniak, M.en
dc.contributor.authorPaszynśki, M.en
dc.contributor.authorDalcin, L.en
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-06-10T11:21:12Zen
dc.date.available2015-06-10T11:21:12Zen
dc.date.issued2015-06-01en
dc.identifier.citationDynamics with Matrices Possessing Kronecker Product Structure 2015, 51:286 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2015.05.243en
dc.identifier.urihttp://hdl.handle.net/10754/556644en
dc.description.abstractIn this paper we present an application of Alternating Direction Implicit (ADI) algorithm for solution of non-stationary PDE-s using isogeometric finite element method. We show that ADI algorithm has a linear computational cost at every time step. We illustrate this approach by solving two example non-stationary three-dimensional problems using explicit Euler and Newmark time-stepping scheme: heat equation and linear elasticity equations for a cube. The stability of the simulation is controlled by monitoring the energy of the solution.en
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050915010510en
dc.rightsArchived with thanks to Procedia Computer Science, Under a Creative Commons license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectIsogeometric finite element methoden
dc.subjectNon-stationary problemsen
dc.subjectAlternating direction solveren
dc.subjectAlternating direction solveren
dc.subjectLinear computational costen
dc.titleDynamics with Matrices Possessing Kronecker Product Structureen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalProcedia Computer Scienceen
dc.conference.date2002-04-21 to 2002-04-24en
dc.conference.nameInternational Conference on Computational Science, ICCS 2002en
dc.conference.locationAmsterdam, NLDen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionAGH University of Science and Technology, Krakow, Polanden
kaust.authorDalcin, Lisandroen
kaust.authorCalo, Victor M.en
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