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

作者:Guermond Jean Luc*; Pasquetti Richard
来源:Computer Methods in Applied Mechanics and Engineering, 2013, 253: 186-198.
DOI:10.1016/j.cma.2012.08.011

摘要

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 P-2 finite elements is introduced. Higher-order extensions of the method are also discussed.

  • 出版日期2013-1-1