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math.NA2013

On the decay of the inverse of matrices that are sum of Kronecker products

Claudio Canuto, Valeria Simoncini, Marco Verani

Decay patterns of matrix inverses have recently attracted considerable interest, due to their relevance in numerical analysis, and in applications requiring matrix function approxi…

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…

math.NA2013★ 1 cited

A Two-Level Method for Mimetic Finite Difference Discretizations of Elliptic Problems

Paola F. Antonietti, Marco Verani, Ludmil Zikatanov

We propose and analyze a two-level method for mimetic finite difference approximations of second order elliptic boundary value problems. We prove that the two-level algorithm is un…

math.NA2013

Electro-Thermo-Chemical Computational Models for 3D Heterogeneous Semiconductor Device Simulation

A. Mauri, R. Sacco, M. Verri

In this article we propose and numerically implement a mathematical model for the simulation of three-dimensional semiconductor devices characterized by an heterogeneous material s…

math.NA2013★ 2 cited

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.…