A correction technique for the dispersive effects of mass lumping for transport problems

Handle URI:
http://hdl.handle.net/10754/597246
Title:
A correction technique for the dispersive effects of mass lumping for transport problems
Authors:
Guermond, Jean-Luc; Pasquetti, Richard
Abstract:
This paper addresses the well-known dispersion effect that mass lumping induces when solving transport-like equations. A simple anti-dispersion technique based on the lumped mass matrix is proposed. The method does not require any non-trivial matrix inversion and has the same anti-dispersive effects as the consistent mass matrix. A novel quasi-lumping technique for P2 finite elements is introduced. Higher-order extensions of the method are also discussed. © 2012 Elsevier B.V.
Citation:
Guermond J-L, Pasquetti R (2013) A correction technique for the dispersive effects of mass lumping for transport problems. Computer Methods in Applied Mechanics and Engineering 253: 186–198. Available: http://dx.doi.org/10.1016/j.cma.2012.08.011.
Publisher:
Elsevier BV
Journal:
Computer Methods in Applied Mechanics and Engineering
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Jan-2013
DOI:
10.1016/j.cma.2012.08.011
Type:
Article
ISSN:
0045-7825
Sponsors:
This material is based upon work supported in part by the National Science Foundation grants DMS-0811041 and DMS-1015984, by the Air Force Office of Scientific Research, USAF, under grant/contract number FA9550-09-1-0424, and by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). Draft version, August 28, 2012.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGuermond, Jean-Lucen
dc.contributor.authorPasquetti, Richarden
dc.date.accessioned2016-02-25T12:28:52Zen
dc.date.available2016-02-25T12:28:52Zen
dc.date.issued2013-01en
dc.identifier.citationGuermond J-L, Pasquetti R (2013) A correction technique for the dispersive effects of mass lumping for transport problems. Computer Methods in Applied Mechanics and Engineering 253: 186–198. Available: http://dx.doi.org/10.1016/j.cma.2012.08.011.en
dc.identifier.issn0045-7825en
dc.identifier.doi10.1016/j.cma.2012.08.011en
dc.identifier.urihttp://hdl.handle.net/10754/597246en
dc.description.abstractThis paper addresses the well-known dispersion effect that mass lumping induces when solving transport-like equations. A simple anti-dispersion technique based on the lumped mass matrix is proposed. The method does not require any non-trivial matrix inversion and has the same anti-dispersive effects as the consistent mass matrix. A novel quasi-lumping technique for P2 finite elements is introduced. Higher-order extensions of the method are also discussed. © 2012 Elsevier B.V.en
dc.description.sponsorshipThis material is based upon work supported in part by the National Science Foundation grants DMS-0811041 and DMS-1015984, by the Air Force Office of Scientific Research, USAF, under grant/contract number FA9550-09-1-0424, and by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). Draft version, August 28, 2012.en
dc.publisherElsevier BVen
dc.subject65D30en
dc.subject65N35en
dc.subjectDispersionen
dc.subjectFinite elementsen
dc.subjectMass lumpingen
dc.subjectTransport equationen
dc.titleA correction technique for the dispersive effects of mass lumping for transport problemsen
dc.typeArticleen
dc.identifier.journalComputer Methods in Applied Mechanics and Engineeringen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionUniversite Nice Sophia Antipolis, Nice, Franceen
kaust.grant.numberKUS-C1-016-04en
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