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

Jean-Luc Guermond; Richard Pasquetti

doi:10.1016/j.cma.2012.08.011

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

Jean-Luc Guermond, Richard Pasquetti

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

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.

Original language	English (US)
Pages (from-to)	186-198
Number of pages	13
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	253
DOIs	https://doi.org/10.1016/j.cma.2012.08.011
State	Published - Jan 2013
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1016/j.cma.2012.08.011

Cite this

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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. {\textcopyright} 2012 Elsevier B.V.",

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JF - Computer Methods in Applied Mechanics and Engineering

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

Abstract

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