Discontinuous Galerkin Finite Volume Element Methods for Second-Order Linear Elliptic Problems

In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second-order linear elliptic problems is discussed. Optimal error estimates in L-2 and broken H-1 - norms are derived. Numerical results confirm the theoretical order of convergences. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 1402-1424, 2009