1.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Istituto di Fotonica e NanotecnologieIT287 papers
- University of MilanIT253 papers
- Centre National de la Recherche ScientifiqueFR237 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di MilanoIT232 papers
- Sapienza University of RomeIT155 papers
- Italian Institute of TechnologyIT125 papers
- University of Milano-BicoccaIT115 papers
- National Research CouncilLK111 papers
- University of GenoaIT102 papers
- University of Rome Tor VergataIT102 papers
- University of BolognaIT101 papers
- University of Naples Federico IIIT97 papers
10 papers · 2 filters
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…
Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case
Claudio Canuto, Valeria Simoncini, Marco Verani
We analyze the theoretical properties of an adaptive Legendre-Galerkin method in the multidimensional case. After the recent investigations for Fourier-Galerkin methods in a period…
Anisotropic dynamic models for Large Eddy Simulation of compressible flows with a high order DG method
Antonella Abbà, Luca Bonaventura, Michele Nini +1
The impact of anisotropic dynamic models for applications to LES of compressible flows is assessed in the framework of a numerical model based on high order discontinuous finite el…
Inverse boundary value problem for the Helmholtz equation: Multi-level approach and iterative reconstruction
Elena Beretta, Maarten V. de Hoop, Lingyun Qiu +1
We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequency as the data. We develop an explicit reconstruction o…
An accurate and efficient numerical framework for adaptive numerical weather prediction
G. Tumolo, L. Bonaventura
We present an accurate and efficient discretization approach for the adaptive discretization of typical model equations employed in numerical weather prediction. A semi-Lagrangian…
Semi-Lagrangian methods for parabolic problems in divergence form
L. Bonaventura, R. Ferretti
Semi-Lagrangian methods have traditionally been developed in the framework of hyperbolic equations, but several extensions of the Semi-Lagrangian approach to diffusion and advectio…
A Multiscale Thermo-Fluid Computational Model for a Two-Phase Cooling System
Riccardo Sacco, Lucia Carichino, Carlo de Falco +3
In this paper, we describe a mathematical model and a numerical simulation method for the condenser component of a novel two-phase thermosyphon cooling system for power electronics…
Shape optimization for Stokes flow: a reference domain approach
Ivan Fumagalli, Nicola Parolini, Marco Verani
In this paper we analyze a shape optimization problem, with Stokes equations as the state problem, defined on a domain with a part of the boundary that is described as the graph of…
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…