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)|
|Number of pages||13|
|Journal||Computer Methods in Applied Mechanics and Engineering|
|State||Published - Jan 2013|
Bibliographical noteKAUST 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.