'The Japan Society for Industrial and Applied Mathematics'
Abstract
In this paper we extend the Discrete Duality Finite Volume (DDFV) formulation to the steady convection-diffusion equation. The discrete gradients defined in DDFV are used to define a cell-based gradient for the control volumes of both the primal and dual meshes, in order to achieve a higher-order accurate numerical flux for the convection term. A priori analysis is carried out to how convergence of the approximation and a global first-order convergence rate is derived. The theoretical results are confirmed bysome numerical experiments
