Journal of Scientific Computing

, Volume 70, Issue 3, pp 1358–1366 | Cite as

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

Article
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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.

Keywords

Consistent mass matrix Maximum principle Mass lumping Nonlinear conservation equations Finite element method 

Mathematics Subject Classfication

65M60 35L65 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of MathematicsTexas A& M UniversityCollege StationUSA
  2. 2.Department of MathematicsPenn State University, University ParkState CollegeUSA

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