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dc.contributor.authorŁoś, M.
dc.contributor.authorWózniak, M.
dc.contributor.authorPaszynśki, M.
dc.contributor.authorDalcin, Lisandro
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-06-10T11:21:12Z
dc.date.available2015-06-10T11:21:12Z
dc.date.issued2015-06-01
dc.identifier.citationDynamics with Matrices Possessing Kronecker Product Structure 2015, 51:286 Procedia Computer Science
dc.identifier.issn18770509
dc.identifier.doi10.1016/j.procs.2015.05.243
dc.identifier.urihttp://hdl.handle.net/10754/556644
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.
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050915010510
dc.rightsArchived with thanks to Procedia Computer Science, Under a Creative Commons license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectIsogeometric finite element method
dc.subjectNon-stationary problems
dc.subjectAlternating direction solver
dc.subjectAlternating direction solver
dc.subjectLinear computational cost
dc.titleDynamics with Matrices Possessing Kronecker Product Structure
dc.typeConference Paper
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalProcedia Computer Science
dc.conference.date2002-04-21 to 2002-04-24
dc.conference.nameInternational Conference on Computational Science, ICCS 2002
dc.conference.locationAmsterdam, NLD
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionAGH University of Science and Technology, Krakow, Poland
kaust.personDalcin, Lisandro
kaust.personCalo, Victor M.
refterms.dateFOA2018-06-13T12:21:55Z
dc.date.published-online2015-06-01
dc.date.published-print2015


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