The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations Academic Article uri icon

abstract

  • © 2016, Springer Science+Business Media New York. 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.

author list (cited authors)

  • Guermond, J., Popov, B., & Yang, Y.

citation count

  • 4

publication date

  • September 2016