Codice 10/2014 Titolo High order discontinuous Galerkin methods on surfaces Data 2014-02-17 Autore/i Antonietti, P.F.; Dedner, A.; Madhavan, P.; Stangalino, S.; Stinner, B.; Verani, M. Link Download full text Pubblicato SIAM Journal on Numerical Analysis (SINUM) Abstract We derive and analyze high order discontinuous Galerkin methods for second-order elliptic problems on implicitely defined surfaces in R^3. This is done by carefully adapting the unified discontinuous Galerkin framework of [D.N. Arnold, F. Brezzi, B. Cockburn, and L.D. Marini, SIAM J. Numer. Anal., 2002] on a triangulated surface approximating the smooth surface. We prove optimal error estimates in both a (mesh dependent) energy and L^2 norms.