34 citations · 269 across the 80 of their papers we have counts for
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A uniform additive Schwarz preconditioner for the -version of Discontinuous Galerkin approximations of elliptic problems
Paola F. Antonietti, Marco Sarti, Marco Verani +1
In this paper we design and analyze a uniform preconditioner for a class of high order Discontinuous Galerkin schemes. The preconditioner is based on a space splitting involving th…
Multigrid algorithms for -version Interior Penalty Discontinuous Galerkin methods on polygonal and polyhedral meshes
Paola F. Antonietti, Paul Houston, Xiaozhe Hu +2
In this paper we analyze the convergence properties of two-level and W-cycle multigrid solvers for the numerical solution of the linear system of equations arising from hp-version…
High order discontinuous Galerkin methods on surfaces
Paola Antonietti, Andreas Dedner, Pravin Madhavan +3
We derive and analyze high order discontinuous Galerkin methods for second-order elliptic problems on implicitely defined surfaces in . This is done by carefully ad…