We present a two-level non-overlapping additive Schwarz method for Discontinuous Calerkin approximations of elliptic problems. In particular, a two level-method for both symmetric and non-symmetric schemes will be considered and some interesting features, which have no analog in the conforming case, will be discussed. Numerical experiments on non-matching grids will be presented.
Schwarz domain decomposition preconditioners for interior penalty approximations of elliptic problems / Antonietti, P. F.; Ayuso, B; Heltai, Luca. - (2006), pp. 423-431. (Intervento presentato al convegno 6th European Conference on Numberical Mathematics and Advanced Applications (ENUMATH2005) tenutosi a Santiago de Compostela, Spain nel July, 2005) [10.1007/978-3-540-34288-5_37].