8 citations · 10 across the 2 of their papers we have counts for
3 papers
math.NA2014★ 2 cited
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…
math.NA2014★ 8 cited
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…
math.NA2013
Multigrid algorithms for -Discontinuous Galerkin discretizations of elliptic problems
P. F. Antonietti, M. Sarti, M. Verani
We present W-cycle multigrid algorithms for the solution of the linear system of equations arising from a wide class of -version discontinuous Galerkin discretizations of ellip…