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

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    Type
    Article
    Authors
    Guermond, Jean-Luc
    Pasquetti, Richard
    KAUST Grant Number
    KUS-C1-016-04
    Date
    2013-01
    Permanent link to this record
    http://hdl.handle.net/10754/597246
    
    Metadata
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    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.
    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.
    Publisher
    Elsevier BV
    Journal
    Computer Methods in Applied Mechanics and Engineering
    DOI
    10.1016/j.cma.2012.08.011
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cma.2012.08.011
    Scopus Count
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