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

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