12 citations · 12 across the 2 of their papers we have counts for
10 papers
The nonconforming virtual element method
B. Ayuso de Dios, K. Lipnikov, G. Manzini
We introduce the nonconforming Virtual Element Method (VEM) for the approximation of second order elliptic problems. We present the construction of the new element in two and three…
Stability Analysis for Discontinuous Galerkin approximations of the elastodynamics problem
Paola F. Antonietti, Blanca Ayuso de Dios, Ilario Mazzieri +1
We consider semi-discrete discontinuous Galerkin approximations of a general elastodynamics problem, in both {\it displacement} and {\it displacement-stress} formulations. We prese…
Space Decompositions and Solvers for Discontinuous Galerkin Methods
Blanca Ayuso de Dios, Ludmil Zikatanov
We present a brief overview of the different domain and space decomposition techniques that enter in developing and analyzing solvers for discontinuous Galerkin methods. Emphasis i…
Substructuring Preconditioners for an h-p Nitsche-type method
P. F. Antonietti, B. Ayuso de Dios, S. Bertoluzza +1
We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in [Bramble, Pasciack, Schatz (Math Comp.…
High order and energy preserving discontinuous Galerkin methods for the Vlasov-Poisson system
Blanca Ayuso de Dios, Soheil Hajian
We present a computational study for a family of discontinuous Galerkin methods for the one dimensional Vlasov-Poisson system that has been recently introduced. We introduce a slig…
A Combined Preconditioning Strategy for Nonsymmetric Systems
Blanca Ayuso de Dios, Andrew T. Barker, Panayot S. Vassilevski
We present and analyze a class of nonsymmetric preconditioners within a normal (weighted least-squares) matrix form for use in GMRES to solve nonsymmetric matrix problems that typi…