TY - JOUR
T1 - A correction technique for the dispersive effects of mass lumping for transport problems
AU - Guermond, Jean-Luc
AU - Pasquetti, Richard
N1 - 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.
PY - 2013/1
Y1 - 2013/1
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/597246
UR - https://linkinghub.elsevier.com/retrieve/pii/S0045782512002630
UR - http://www.scopus.com/inward/record.url?scp=84868631765&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2012.08.011
DO - 10.1016/j.cma.2012.08.011
M3 - Article
VL - 253
SP - 186
EP - 198
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -