Parallel alternating direction preconditioner for isogeometric simulations of explicit dynamics

Handle URI:
http://hdl.handle.net/10754/581421
Title:
Parallel alternating direction preconditioner for isogeometric simulations of explicit dynamics
Authors:
Łoś, Marcin; Woźniak, Maciej; Paszyński, Maciej; Dalcin, Lisandro ( 0000-0001-8086-0155 ) ; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
In this paper we present a parallel implementation of the alternating direction preconditioner for isogeometric simulations of explicit dynamics. The Alternating Direction Implicit (ADI) algorithm, belongs to the category of matrix-splitting iterative methods, was proposed almost six decades ago for solving parabolic and elliptic partial differential equations, see [1–4]. The new version of this algorithm has been recently developed for isogeometric simulations of two dimensional explicit dynamics [5] and steady-state diffusion equations with orthotropic heterogenous coefficients [6]. In this paper we present a parallel version of the alternating direction implicit algorithm for three dimensional simulations. The algorithm has been incorporated as a part of PETIGA an isogeometric framework [7] build on top of PETSc [8]. We show the scalability of the parallel algorithm on STAMPEDE linux cluster up to 10,000 processors, as well as the convergence rate of the PCG solver with ADI algorithm as preconditioner.
KAUST Department:
Center for Numerical Porous Media (NumPor)
Conference/Event name:
Pan American Congresses on Computational Mechanics (PANACM) 2015
Issue Date:
27-Apr-2015
Type:
Presentation
Additional Links:
http://congress.cimne.com/panacm2015/admin/files/fileabstract/a389.pdf
Appears in Collections:
Presentations

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DC FieldValue Language
dc.contributor.authorŁoś, Marcinen
dc.contributor.authorWoźniak, Maciejen
dc.contributor.authorPaszyński, Maciejen
dc.contributor.authorDalcin, Lisandroen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-10-29T14:03:38Zen
dc.date.available2015-10-29T14:03:38Zen
dc.date.issued2015-04-27en
dc.identifier.urihttp://hdl.handle.net/10754/581421en
dc.description.abstractIn this paper we present a parallel implementation of the alternating direction preconditioner for isogeometric simulations of explicit dynamics. The Alternating Direction Implicit (ADI) algorithm, belongs to the category of matrix-splitting iterative methods, was proposed almost six decades ago for solving parabolic and elliptic partial differential equations, see [1–4]. The new version of this algorithm has been recently developed for isogeometric simulations of two dimensional explicit dynamics [5] and steady-state diffusion equations with orthotropic heterogenous coefficients [6]. In this paper we present a parallel version of the alternating direction implicit algorithm for three dimensional simulations. The algorithm has been incorporated as a part of PETIGA an isogeometric framework [7] build on top of PETSc [8]. We show the scalability of the parallel algorithm on STAMPEDE linux cluster up to 10,000 processors, as well as the convergence rate of the PCG solver with ADI algorithm as preconditioner.en
dc.relation.urlhttp://congress.cimne.com/panacm2015/admin/files/fileabstract/a389.pdfen
dc.titleParallel alternating direction preconditioner for isogeometric simulations of explicit dynamicsen
dc.typePresentationen
dc.contributor.departmentCenter for Numerical Porous Media (NumPor)en
dc.conference.date27-29 April, 2015en
dc.conference.namePan American Congresses on Computational Mechanics (PANACM) 2015en
dc.conference.locationBuenos Airesen
dc.contributor.institutionAGH University of Science and Technology Al. Mickiewicza 30, 30-059 Krakow, Polanden
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