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

Jean-Luc Guermond, Richard Pasquetti

Research output: Contribution to journalArticlepeer-review

23 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 languageEnglish (US)
Pages (from-to)186-198
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
Volume253
DOIs
StatePublished - Jan 2013
Externally publishedYes

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