A discontinuous Galerkin Method for Computing Flow in Porous Media
We consider a discontinuous Galerkin scheme for flow in heterogeneous
media. An efficient solution of the resulting system of unknowns is
possible by taking advantage of a priori knowledge of the direction of
flow. By arranging the elements in a suitable sequence, the full
system need not be assembled and one may compute the solution in an
element by element fashion. We demonstrate this procedure on
boundary-value problems for time of flight and tracer flow.