New mixed finite volume methods for second order eliptic problems
In this paper we introduce and analyze new mixed finite volume methods for second order elliptic problems which are based on (div)- approximations for the vector variable and approximations for the scalar variable. The discretization is fulfilled by combining the ideas of the traditional finite volume box method and the local discontinuous Galerkin method. We propose two different types of methods, called Methods I and II, and show that they have distinct advantages over the mixed methods used...