Discrete Maximum Principle and Artificial Viscosity in Finite Element Approximations to Convective Diffusion Equations
Fumio Kikuchi · Institutional Repositories DataBase (IRDB) · 1977
The discrete maximum principle is discussed for a class of simple finite element approximations to convective diffusion equations. The method of artificial viscosity is also introduced to improve the numerical properties of the finite element solutions. It is concluded that the discrete maximum principle is indeed valid under certain assumptions to be clarified in this paper.