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

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.

authors

• Popov, Bojan

published proceedings

• JOURNAL OF SCIENTIFIC COMPUTING

author list (cited authors)

• Guermond, J., Popov, B., & Yang, Y.

citation count

• 9

complete list of authors

• Guermond, Jean-Luc||Popov, Bojan||Yang, Yong

publication date

• March 2017

publisher

• Springer Nature  Publisher

published in

• Journal of Scientific Computing  Journal

keywords

• Consistent Mass Matrix
• Finite Element Method
• Mass Lumping
• Maximum Principle
• Nonlinear Conservation Equations

Digital Object Identifier (DOI)

• 10.1007/s10915-016-0285-7

start page

• 1358

end page

• 1366

volume

• 70

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs10915-016-0285-7