The nonFickian flow of fluid in porous media is complicated by the history effect which characterizes various mixing length growth of the flow, and can be modeled by an integro-differential equation. This paper studies a backward Euler scheme for the mixed finite element approximate solution of such problems with non-smooth initial data. A new regularity result is derived for the model problem, which can be used to design high order numerical schemes in time.
|Number of pages||13|
|Journal||Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms|
|Publication status||Published - 28 Dec 2006|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics