@article{bde7eb6c61124e258f8713276ae74f9a,
title = "A correction technique for the dispersive effects of mass lumping for transport problems",
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.",
author = "Jean-Luc Guermond and Richard Pasquetti",
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.",
year = "2013",
month = jan,
doi = "10.1016/j.cma.2012.08.011",
language = "English (US)",
volume = "253",
pages = "186--198",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier B.V.",
}