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http://hdl.handle.net/1942/40527
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DC Field | Value | Language |
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dc.contributor.author | ZEIFANG, Jonas | - |
dc.contributor.author | THENERY MANIKANTAN, Arjun | - |
dc.contributor.author | SCHUETZ, Jochen | - |
dc.date.accessioned | 2023-06-29T09:24:18Z | - |
dc.date.available | 2023-06-29T09:24:18Z | - |
dc.date.issued | 2023 | - |
dc.date.submitted | 2023-06-27T08:32:59Z | - |
dc.identifier.citation | APPLIED MATHEMATICS AND COMPUTATION, 457 (Art N° 128198) | - |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | http://hdl.handle.net/1942/40527 | - |
dc.description.abstract | In this work, we consider a high-order discretization of compressible viscous flows allow- ing parallelization both in space and time. The discontinuous Galerkin spectral element method, which is well-suited for massively parallel simulations, is used for spatial discretization. The main novelty in this work is the additional demonstration of time-parallel capabilities within an implicit two-derivative timestepping procedure to further increase the parallel speedup. Temporal parallelism is made possible by a predictor-corrector-type time discretization that allows to split the as- sociated workload onto multiple processors. We identify a homogeneous load balance with respect to the linear (GMRES) iterations on each processor as a key for parallel efficiency. To homogenize the load and to enable practical simulations, an adaptive strategy for Newton’s method is introduced. It is shown that the time-parallel method provides a parallel efficiency of approx. 60 −70% on 4 −7 computational partitions. Moreover, the capabilities of the novel method for the simulation of large-scale problems are illustrated with a mixed temporal and spatial parallelization on more than 10 0 0 processors. | - |
dc.description.sponsorship | J. Zeifang was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - project no. 457811052. A. Thenery Manikantan was funded by the “Bijzonder Onderzoeksfonds” (BOF) from UHasselt - project no. BOF21KP12. We acknowledge the VSC (Flemish Supercomputer Center) for providing computing resources. The VSC is funded by the Research Foundation - Flanders (FWO) and the Flemish Government. | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE INC | - |
dc.rights | 2023 Elsevier Inc. All rights reserved. | - |
dc.subject.other | Implicit time stepping | - |
dc.subject.other | Parallel-in-Time | - |
dc.subject.other | Multiderivative schemes | - |
dc.subject.other | Newton adaptivity | - |
dc.title | Time parallelism and Newton-adaptivity of the two-derivative deferred correction discontinuous Galerkin method | - |
dc.type | Journal Contribution | - |
dc.identifier.volume | 457 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | STE 800, 230 PARK AVE, NEW YORK, NY 10169 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.artnr | 128198 | - |
local.type.programme | VSC | - |
dc.identifier.doi | 10.1016/j.amc.2023.128198 | - |
dc.identifier.isi | 001037063100001 | - |
dc.identifier.eissn | 1873-5649 | - |
local.provider.type | CrossRef | - |
local.uhasselt.international | no | - |
item.contributor | ZEIFANG, Jonas | - |
item.contributor | THENERY MANIKANTAN, Arjun | - |
item.contributor | SCHUETZ, Jochen | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.fullcitation | ZEIFANG, Jonas; THENERY MANIKANTAN, Arjun & SCHUETZ, Jochen (2023) Time parallelism and Newton-adaptivity of the two-derivative deferred correction discontinuous Galerkin method. In: APPLIED MATHEMATICS AND COMPUTATION, 457 (Art N° 128198). | - |
crisitem.journal.issn | 0096-3003 | - |
crisitem.journal.eissn | 1873-5649 | - |
Appears in Collections: | Research publications |
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1-s2.0-S0096300323003673-main.pdf Restricted Access | Published version | 2.56 MB | Adobe PDF | View/Open Request a copy |
paper.pdf | Peer-reviewed author version | 571.58 kB | Adobe PDF | View/Open |
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