H-Convergence and Numerical Schemes for Elliptic Problems
H-Convergence and Numerical Schemes for Elliptic Problems
We study the convergence of two coupled numerical schemes, which are a discretization of a so-called elliptic-hyperbolic system. Only weak convergence properties are proved on the discrete diffusion of the elliptic problem, and an adaptation of the H-convergence method gives a convergence property of the elliptic part of the scheme. …