The value of continuity: Refined isogeometric analysis and fast direct solvers

Handle URI:
http://hdl.handle.net/10754/622259
Title:
The value of continuity: Refined isogeometric analysis and fast direct solvers
Authors:
Garcia, Daniel; Pardo, David; Dalcin, Lisandro ( 0000-0001-8086-0155 ) ; Paszyński, Maciej; Collier, Nathan; Calo, Victor M.
Abstract:
We propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) discretization, we introduce . C0-separators to reduce the interconnection between degrees of freedom in the mesh. By doing so, both the solution time and best approximation errors are simultaneously improved. We call the resulting method
KAUST Department:
Numerical Porous Media SRI Center (NumPor)
Citation:
Garcia D, Pardo D, Dalcin L, Paszyński M, Collier N, et al. (2016) The value of continuity: Refined isogeometric analysis and fast direct solvers. Computer Methods in Applied Mechanics and Engineering. Available: http://dx.doi.org/10.1016/j.cma.2016.08.017.
Publisher:
Elsevier BV
Journal:
Computer Methods in Applied Mechanics and Engineering
Issue Date:
26-Aug-2016
DOI:
10.1016/j.cma.2016.08.017
Type:
Article
ISSN:
0045-7825
Sponsors:
David Pardo and Daniel Garcia have received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 644602, the Projects of the Spanish Ministry of Economy and Competitiveness with reference MTM2013-40824-P and MTM2016-76329-R, the BCAM Severo Ochoa accreditation of excellence SEV-2013-0323, and the Basque Government through the BERC 2014–2017 program, the Consolidated Research Group Grant IT649-13 on “Mathematical Modeling, Simulation, and Industrial Applications (M2SI)”, and the ICERMAR Project KK-2015/0000097. The work of Maciej Paszyński has been supported by National Science Centre, Poland, Grant No. DEC-2015/17/B/ST6/01867. This publication was made possible in part by a National Priorities Research Program grant 7-1482-1-278 from the Qatar National Research Fund (a member of The Qatar Foundation) and the Center for Numerical Porous Media at King Abdullah University of Science and Technology (KAUST). The J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences (ICES) of the University of Texas at Austin has partially supported the visits of VMC to ICES. The authors acknowledge the Texas Advance Computing Center (TACC) at The University of Texas at Austin for providing HPC resources that have contributed to the research results reported in the paper.
Additional Links:
http://www.sciencedirect.com/science/article/pii/S0045782516309586
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorGarcia, Danielen
dc.contributor.authorPardo, Daviden
dc.contributor.authorDalcin, Lisandroen
dc.contributor.authorPaszyński, Maciejen
dc.contributor.authorCollier, Nathanen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2017-01-02T08:42:40Z-
dc.date.available2017-01-02T08:42:40Z-
dc.date.issued2016-08-26en
dc.identifier.citationGarcia D, Pardo D, Dalcin L, Paszyński M, Collier N, et al. (2016) The value of continuity: Refined isogeometric analysis and fast direct solvers. Computer Methods in Applied Mechanics and Engineering. Available: http://dx.doi.org/10.1016/j.cma.2016.08.017.en
dc.identifier.issn0045-7825en
dc.identifier.doi10.1016/j.cma.2016.08.017en
dc.identifier.urihttp://hdl.handle.net/10754/622259-
dc.description.abstractWe propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) discretization, we introduce . C0-separators to reduce the interconnection between degrees of freedom in the mesh. By doing so, both the solution time and best approximation errors are simultaneously improved. We call the resulting methoden
dc.description.sponsorshipDavid Pardo and Daniel Garcia have received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 644602, the Projects of the Spanish Ministry of Economy and Competitiveness with reference MTM2013-40824-P and MTM2016-76329-R, the BCAM Severo Ochoa accreditation of excellence SEV-2013-0323, and the Basque Government through the BERC 2014–2017 program, the Consolidated Research Group Grant IT649-13 on “Mathematical Modeling, Simulation, and Industrial Applications (M2SI)”, and the ICERMAR Project KK-2015/0000097. The work of Maciej Paszyński has been supported by National Science Centre, Poland, Grant No. DEC-2015/17/B/ST6/01867. This publication was made possible in part by a National Priorities Research Program grant 7-1482-1-278 from the Qatar National Research Fund (a member of The Qatar Foundation) and the Center for Numerical Porous Media at King Abdullah University of Science and Technology (KAUST). The J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences (ICES) of the University of Texas at Austin has partially supported the visits of VMC to ICES. The authors acknowledge the Texas Advance Computing Center (TACC) at The University of Texas at Austin for providing HPC resources that have contributed to the research results reported in the paper.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0045782516309586en
dc.subjectDirect solversen
dc.subjectFinite element analysis (FEA)en
dc.subjectIsogeometric analysis (IGA)en
dc.subjectK-refinementen
dc.subjectMulti-frontal solversen
dc.subjectRefined isogeometric analysis (rIGA)en
dc.titleThe value of continuity: Refined isogeometric analysis and fast direct solversen
dc.typeArticleen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalComputer Methods in Applied Mechanics and Engineeringen
dc.contributor.institutionBasque Center for Applied Mathematics, (BCAM), Bilbao, Spainen
dc.contributor.institutionDepartment of Applied Mathematics, Statistics, and Operational Research, University of the Basque Country UPV/EHU, Leioa, Spainen
dc.contributor.institutionIkerbasque (Basque Foundation for Sciences), Bilbao, Spainen
dc.contributor.institutionConsejo Nacional de Investigaciones Científicas y Técnicas, Santa Fe, Argentinaen
dc.contributor.institutionUniversidad Nacional del Litoral, Santa Fe, Argentinaen
dc.contributor.institutionDepartment of Computer Science, AGH University of Science and Technology, Krakow, Polanden
dc.contributor.institutionClimate Change Science Institute, Oak Ridge National Laboratory, Oak Ridge, United Statesen
dc.contributor.institutionApplied Geology, Western Australian School of Mines, Curtin University, Bentley, WA, Australiaen
dc.contributor.institutionMineral Resources, Commonwealth Scientific and Industrial Research Organisation (CSIRO), Kensington, WA, Australiaen
kaust.authorDalcin, Lisandroen
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