128 citations · 346 across the 59 of their papers we have counts for
3 papers · 1 filter
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…
A Cascadic Multigrid Algorithm for Computing the Fiedler Vector of Graph Laplacians
John C. Urschel, Xiaozhe Hu, Jinchao Xu +1
In this paper, we develop a cascadic multigrid algorithm for fast computation of the Fiedler vector of a graph Laplacian, namely, the eigenvector corresponding to the second smalle…
Preconditioning of weighted H(div)-norm and applications to numerical simulation of highly heterogeneous media
Johannes Kraus, Raytcho Lazarov, Maria Lymbery +2
In this paper we propose and analyze a preconditioner for a system arising from a finite element approximation of second order elliptic problems describing processes in highly het-…