**Date & Time:** Friday, July 25, 2008, 14:30-15:30.

**Venue:** Ramanujan Hall

**Title:** Finite Volume Element Methods for
Incompressible Miscible Displacement Problems in Porous Media

**Speaker:** Sarvesh Kumar, IIT Bombay

**Abstract:** The mathematical model describing incompressible miscible displacement problems in a reservoir gives rise to a system of coupled nonlinear partial differential equations consisting of the pressure equation which is of elliptic type and the concentration equation which is of parabolic type. Mixed finite volume element procedures have been applied for the pressure equation to obtain an accurate approximation to the Darcy velocity which, in turn, yields a better approximation of the concentration. Standard FVEM, discontinuous Galerkin FVEM and modified method of characteristics combined with standard FVEM applied for the approximation of the concentration equation. *A priori* error estimates for the velocity and concentration in *L(L ^{2})* norm and the results of some numerical experiments will be presented.