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Keywords:

  • error estimates;
  • finite volume element;
  • groundwater flow

Abstract

In this article, we study the finite volume element methods for numerical solution of the pollution in groundwater flow in a two-dimensional convex polygonal domain. These type flow are uniform transport in a fully saturated incompressible porous media, which may be anisotropic with respect to hydraulic conductivity, but features a direction independent of dispersivity. A fully finite volume scheme is analyzed in this article. The discretization is defined via a planar mesh consisting of piecewise triangles. Optimal order error estimates in H1 and L2 norms are obtained. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009