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

Jean Luc Guermond 1 Richard Pasquetti 2, 3
1 TAMU - Department of Mathematics [Texas]
2 JAD - Laboratoire Jean Alexandre Dieudonné
3 CASTOR - Control, Analysis and Simulations for TOkamak Research
CRISAM - Inria Sophia Antipolis - Méditerranée
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.
Keywords : Finite elements Transport equation Mass lumping Dispersion
Document type :
Journal articles
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https://hal-ujm.archives-ouvertes.fr/ujm-00860583
Contributor : Richard Pasquetti <>
Submitted on : Tuesday, September 10, 2013 - 5:22:10 PM
Last modification on : Wednesday, November 20, 2019 - 7:36:56 AM

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Jean Luc Guermond, Richard Pasquetti. A correction technique for the dispersive effects of mass lumping for transport problems. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2012, 253, pp.186-198. ⟨10.1016/j.cma.2012.08.011⟩. ⟨ujm-00860583⟩

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