The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations
نویسندگان
چکیده
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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عنوان ژورنال:
- J. Sci. Comput.
دوره 70 شماره
صفحات -
تاریخ انتشار 2017