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Your search keyword '"Zonca, Stefano"' showing total 19 results
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19 results on '"Zonca, Stefano"'

1. Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems

Author

Antonietti, Paola F., Mascotto, Lorenzo, Verani, Marco, and Zonca, Stefano

Subjects
Mathematics - Numerical Analysis
Abstract

We present a stability analysis of the Discontinuous Galerkin method on polygonal and polyhedral meshes (PolyDG) for the Stokes problem. In particular, we analyze the discrete inf-sup condition for different choices of the polynomial approximation order of the velocity and pressure approximation spaces. To this aim, we employ a generalized inf-sup condition with a pressure stabilization term. We also prove a priori hp-version error estimates in suitable norms. We numerically check the behaviour of the inf-sup constant and the order of convergence with respect to the mesh configuration, the mesh-size, and the polynomial degree. Finally, as a relevant application of our analysis, we consider the PolyDG approximation for a fluid-structure interaction problem and we numerically explore the stability properties of the method.

Published
2020

4. Extended Finite Elements Method for Fluid-Structure Interaction with an Immersed Thick Non-linear Structure

Author

Vergara, Christian, Zonca, Stefano, Formaggia, Luca, Editor-in-Chief, Larson, Mats G., Series Editor, Martínez-Seara Alonso, Tere, Series Editor, Parés, Carlos, Series Editor, Pareschi, Lorenzo, Series Editor, Pedregal, Pablo, Editor-in-Chief, Tosin, Andrea, Series Editor, Vazquez, Elena, Series Editor, Zubelli, Jorge P., Series Editor, Zunino, Paolo, Series Editor, Boffi, Daniele, editor, Pavarino, Luca F., editor, Rozza, Gianluigi, editor, Scacchi, Simone, editor, and Vergara, Christian, editor

Published
2018
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9. Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid–Structure Interaction Problems

Author

Antonietti, P, Mascotto, L, Verani, M, Zonca, S, Antonietti, Paola F., Mascotto, Lorenzo, Verani, Marco, Zonca, Stefano, Antonietti, P, Mascotto, L, Verani, M, Zonca, S, Antonietti, Paola F., Mascotto, Lorenzo, Verani, Marco, and Zonca, Stefano

Abstract

We present a stability analysis of the Discontinuous Galerkin method on polygonal and polyhedral meshes (PolyDG) for the Stokes problem. In particular, we analyze the discrete inf-sup condition for different choices of the polynomial approximation order of the velocity and pressure approximation spaces. To this aim, we employ a generalized inf-sup condition with a pressure stabilization term. We also prove a priori hp-version error estimates in suitable norms. We numerically check the behaviour of the inf-sup constant and the order of convergence with respect to the mesh configuration, the mesh-size, and the polynomial degree. Finally, as a relevant application of our analysis, we consider the PolyDG approximation for a 2D fluid–structure interaction problem and we numerically explore the stability properties of the method.

Published
2022

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