Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Botti, Lorenzo"'
In this work we study the stability, convergence, and pressure-robustness of discretization methods for incompressible flows with hybrid velocity and pressure. Specifically, focusing on the Stokes problem, we identify a set of assumptions that yield
Externí odkaz:
http://arxiv.org/abs/2404.12732
Autor:
Botti, Lorenzo, Verzeroli, Luca
In this work we introduce a dG framework for nonlinear elasticity based on a Bassi-Rebay (BR2) formulation. The framework encompasses compressible and incompressible hyperelastic materials and is capable of dealing with large deformations. In order t
Externí odkaz:
http://arxiv.org/abs/2203.07503
Autor:
Botti, Lorenzo, Massa, Francesco Carlo
We propose two Hybrid High-Order (HHO) methods for the incompressible Navier-Stokes equations and investigate their robustness with respect to the Reynolds number. While both methods rely on a HHO formulation of the viscous term, the pressure-velocit
Externí odkaz:
http://arxiv.org/abs/2112.09777
We propose a $p$-multilevel preconditioner for Hybrid High-Order discretizations (HHO) of the Stokes equation, numerically assess its performance on two variants of the method, and compare with a classical Discontinuous Galerkin scheme. We specifical
Externí odkaz:
http://arxiv.org/abs/2009.13840
In this work, we introduce a novel abstract framework for the stability and convergence analysis of fully coupled discretisations of the poroelasticity problem and apply it to the analysis of Hybrid High-Order (HHO) schemes. A relevant feature of the
Externí odkaz:
http://arxiv.org/abs/1912.03665
Publikováno v:
In Finite Elements in Analysis & Design 1 March 2023 215
In recent years several research efforts focused on the development of high-order discontinuous Galerkin (dG) methods for scale resolving simulations of turbulent flows. Nevertheless, in the context of incompressible flow computations, the computatio
Externí odkaz:
http://arxiv.org/abs/1809.00866
In this work we propose a novel Hybrid High-Order method for the incompressible Navier--Stokes equations based on a formulation of the convective term including Temam's device for stability. The proposed method has several advantageous features: it s
Externí odkaz:
http://arxiv.org/abs/1807.07345
Publikováno v:
Comput. Meth. Appl. Mech. Engrg., 2018, 341:278-310
In this work, we develop and analyse a novel Hybrid High-Order discretisation of the Brinkman problem. The method hinges on hybrid discrete velocity unknowns at faces and elements and on discontinuous pressures. Based on the discrete unknowns, we rec
Externí odkaz:
http://arxiv.org/abs/1803.10964
In this work we exploit agglomeration based $h$-multigrid preconditioners to speed-up the iterative solution of discontinuous Galerkin discretizations of the Stokes and Navier-Stokes equations. As a distinctive feature $h$-coarsened mesh sequences ar
Externí odkaz:
http://arxiv.org/abs/1703.03592