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Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2012

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.

Dates and versions

ujm-00860583 , version 1 (10-09-2013)

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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, 2012, 253, pp.186-198. ⟨10.1016/j.cma.2012.08.011⟩. ⟨ujm-00860583⟩
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