The Finite Volume Formulation for 2D Second‐Order EllipticProblems with Discontinuous Diffusion/Dispersion Coefficients
Stefano Ferraris, Ivan Bevilacqua, Davide Canone, Davide Pognant, Maurizio Previati · Mathematical Problems in Engineering · 2012
We propose a finite volume method for the numerical resolution of two‐dimensional steady diffusion problems with possibly discontinuous coefficients on unstructured polygonal meshes. Our numerical method is cellcentered, secondorder accurate on smooth solutions and based on a special numerical treatment of the diffusion/dispersion coefficients that makes its application possible also when such coefficients are discontinuous. Numerical experiments confirm the convergence of the numerical approximation and show a good behavior on a set of benchmark problems in two space dimensions.