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Journal of Scientific Computing

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17-09-2016

The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations

Authors: Jean-Luc Guermond, Bojan Popov, Yong Yang

Published in: Journal of Scientific Computing | Issue 3/2017

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Abstract

In this paper we study the effect of the use of the consistent mass matrix when solving scalar nonlinear conservation equations. It is shown that a continuous finite element method based on artificial viscosity in space and explicit time stepping using the consistent mass matrix cannot satisfy the maximum principle.

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Title: The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations
Authors: Jean-Luc Guermond
Bojan Popov
Yong Yang
Publication date: 17-09-2016
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 3/2017
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-016-0285-7

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