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http://hdl.handle.net/1942/21525
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DC Field | Value | Language |
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dc.contributor.author | JAUST, Alexander | - |
dc.contributor.author | SCHUETZ, Jochen | - |
dc.contributor.author | Seal, David C. | - |
dc.date.accessioned | 2016-06-22T13:53:26Z | - |
dc.date.available | 2016-06-22T13:53:26Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | JOURNAL OF SCIENTIFIC COMPUTING, 69 (2), p. 866-892 | - |
dc.identifier.issn | 0885-7474 | - |
dc.identifier.uri | http://hdl.handle.net/1942/21525 | - |
dc.description.abstract | In this paper we apply implicit two-derivative multistage time integrators to conservation laws in one and two dimensions. The one dimensional solver discretizes space with the classical discontinuous Galerkin method, and the two dimensional solver uses a hybridized discontinuous Galerkin spatial discretization for efficiency. We propose methods that permit us to construct implicit solvers using each of these spatial discretizations, wherein a chief difficulty is how to handle the higher derivatives in time. The end result is that the multiderivative time integrator allows us to obtain high-order accuracy in time while keeping the number of implicit stages at a minimum. We show numerical results validating and comparing methods. | - |
dc.language.iso | en | - |
dc.rights | © Springer Science+Business Media New York 2016. | - |
dc.subject.other | discontinuous Galerkin method; multiderivative time integration; convection–diffusion equation; hybridized discontinuous Galerkin method | - |
dc.title | Implicit Multistage Two-Derivative Discontinuous Galerkin Schemes for Viscous Conservation Laws | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 892 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 866 | - |
dc.identifier.volume | 69 | - |
local.format.pages | 26 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Jaust, A (reprint author), Hasselt Univ, Vakgrp Wiskunde Stat, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. alexander.jaust@uhasselt.be; jochen.schuetz@uhasselt.be; seal@usna.edu | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s10915-016-0221-x | - |
dc.identifier.isi | 000385151700016 | - |
item.fullcitation | JAUST, Alexander; SCHUETZ, Jochen & Seal, David C. (2016) Implicit Multistage Two-Derivative Discontinuous Galerkin Schemes for Viscous Conservation Laws. In: JOURNAL OF SCIENTIFIC COMPUTING, 69 (2), p. 866-892. | - |
item.validation | ecoom 2017 | - |
item.contributor | JAUST, Alexander | - |
item.contributor | SCHUETZ, Jochen | - |
item.contributor | Seal, David C. | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0885-7474 | - |
crisitem.journal.eissn | 1573-7691 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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main.pdf | Peer-reviewed author version | 905.26 kB | Adobe PDF | View/Open |
art%3A10.1007%2Fs10915-016-0221-x.pdf Restricted Access | Published version | 1.16 MB | Adobe PDF | View/Open Request a copy |
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