Stefano Berrone - Publications

Papers on referred Journals
Conference Proceedings
Submitted Papers
Technical Reports
Ph.D. Thesis


Papers on referred Journals

• S. Berrone, M. Marro, Numerical investigation of effectivity indices of space-time error indicators for Navier-Stokes equations, accepted for publication in Computer Methods in Applied Mechanics and Engineering.
• S. Berrone, Skipping transition conditions in a posteriori error estimates for finite element discretizations of parabolic equations, accepted for publication in M2AN, Mathematical Modelling and Numerical Analysis.
• S. Berrone, A local-in-space-timestep approach to a finite element discretization of the heat equation with a posteriori estimates, SIAM Journal on Numerical Analysis, Vol. 47, No. 4, (2009), 3109-3138.
• S. Berrone, M. Marro, Space-Time adaptive simulations for unsteady Navier-Stokes problems, Computers and Fluids, Vol. 38, No. 6, (2009), 1132-1144.
• S. Bellavia, S. Berrone, Globalization strategies for Newton-Krylov methods for stabilized FEM discretization of Navier-Stokes equations , Journal of Computational Physics, Vol. 226, No. 2, (2007), 2317-2340.
• S. Berrone, E. Süli , Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows , IMA Journal of Numerical Analysis, Vol. 28, No. 2, (2008) 382-421.
• S. Berrone, Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients , M2AN, Mathematical Modelling and Numerical Analysis, Vol. 40, No. 6, (2006), 991-1021.
• S. Berrone, T. Kozubek, An adaptive WEM algorithm for solving elliptic boundary value problems in fairly general domains, SIAM Journal of Scientific Computing, Vol 28, No. 6, (2006), 2114-2138.
• S. Berrone, C. Canuto, Multilevel a posteriori error analysis for reaction-convection-diffusion problems, Appl. Numer. Math. Vol. 50, No. 3-4, (2004), 371-394.
• S. Berrone, L. Emmel, A Realization of a Wavelet Galerkin Method on nontrivial Domains, Math. Models Methods Appl. Sci. (M3AS) Vol. 12, No. 11, (2002), 1525-1554.
• S. Berrone, Robustness in a posteriori error analysis for FEM flow models, Numer. Math. 91, (2002), 389-422.
• S. Berrone, Adaptive discretization of stationary and incompressible Navier-Stokes equations by stabilized Finite Element Methods, Comput. Methods Appl. Mech. Engrg. Vol. 190, No. 34, (2001), 4435-4455.

Referred Papers on Conference Proceedings

• S. Berrone, Robustness in a posteriori error estimates for the Oseen equations with general boundary conditions, proceedings of ENUMATH 2001, Numerical Mathematics and Advanced Applications, F. Brezzi, A. Buffa, S. Corsaro, A. Murli (eds.), Springer-Verlag Italia, Milano 2003, ISBN 88-470-0180-3, 657-668.
• S. Berrone, L. Emmel, Towards a Realization of a Wavelet Galerkin Method on non-trivial Domains, proceedings of ICOSAHOM-01, J. Sci. Comput. Vol. 17, Nos. 1-4, (2002), 307-317.
• S. Berrone, K. Urban, Adaptive Wavelet Galerkin Methods on Distorted Domains: Setup of the Algebraic System, Curve and Surface Fitting: Saint-Malo 1999, Albert Cohen, Christophe Rabut and Larry L. Schumaker (eds.), Vanderbilt University Press, Nashville, TN, ISBN 0-8265-1357-3, 65-74.

Submitted Papers

• S. Berrone, M. Verani, An Adaptive Gradient-DWR Finite Element Algorithm for an Optimal Control Constrained Problem.
• S. Berrone, M. Marro, V. Garbero, Numerical simulation of low-Reynolds number flows past rectangular cylinders based on adaptive finite element and finite volume methods.

Technical Reports

• S. Berrone, M. Marro, Numerical investigation of effectivity indices of space-time error indicators for Navier-Stokes equations, "La Matematica e le sue Applicazioni n. 12/2009", Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, M. Marro, V. Garbero, Numerical simulation of low-Reynolds number flows past rectangular cylinders based on adaptive finite element and finite volume methods, "La Matematica e le sue Applicazioni n. 2/2009", Dipartimento di Matematica, Politecnico di Torino.
• A.M.A. Barbera, S. Berrone, BBTR: an unstructured triangular mesh generator, "La Matematica e le sue Applicazioni n. 13/2008", Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, A local-in-space-timestep approach to a finite element discretization of the heat equation with a posteriori estimates, "La Matematica e le sue Applicazioni n. 12/2008", Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, M. Marro, Space-Time adaptive simulations for unsteady Navier-Stokes problems, Preprint n. 11/2008, Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, Skipping transition conditions in a posteriori error estimates for finite element discretizations of parabolic equations, Preprint n. 5/2008, Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, M. Verani An Adaptive Gradient-DWR FE Algorithm for an Optimal Control Constrained Problem, Preprint n. 34/2007, Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, E. Süli , Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows , Technical Report NA-06/10, Oxford University Computing Laboratory, 2006.
• S. Berrone, Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients , Preprint n. 20/2005, Dipartimento di Matematica, Politecnico di Torino.
• S. Bellavia, S. Berrone, A hybrid Newton-Krylov method for stabilized FEM discretization of Navier-Stokes equations , Preprint n. 39/2004, Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, T. Kozubek, An adaptive WEM algorithm for solving elliptic boundary value problems in fairly general domains, Preprint n. 38/2004, Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, C. Canuto, Multilevel a posteriori error analysis for reaction-convection-diffusion problems, Preprint n. 18/2002, Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, L. Emmel, A Realization of a Wavelet Galerkin Method on non-trivial Domains, Preprint n. 33/2001, Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, Robustness in a posteriori error analysis for FEM flow models , Preprint n. 09/2001, Dipartimento di Matematica, Politecnico di Torino.
• S. Berrone, Adaptive discretization of the Navier Stokes equations by stabilized Finite Element Methods, Preprint n. 07/1999, Dipartimento di Matematica, Politecnico di Torino.

Ph.D. Thesis

• S. Berrone, Adaptive discretizations of differential models in fluid dynamics , (2000), Dipartimento di Ingegneria Aeronautica, Politecnico di Torino; Supervisor Prof. C. Canuto.