Codice 34/2009 Titolo A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods Data 2009-12-14 Autore/i Antonietti, Paola F.; Houston, Paul Link Download full text Abstract In this article we address the question of efficiently solving the algebraic linear system of equations arising from the discretization of a symmetric, elliptic boundary value problem using hp-version discontinuous Galerkin finite element methods. In particular, we introduce a class of domain decomposition preconditioners based on the Schwarz framework, and prove bounds on the condition number of the resulting iteration operators. Numerical results conrming the theoretical estimates are also presented.