Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Andrea Borio"'
Publikováno v:
Mathematics in Engineering, Vol 6, Iss 1, Pp 173-191 (2024)
We numerically investigate the possibility of defining Stabilization-Free Virtual Element discretizations–i.e., Virtual Element Method discretizations without an additional non-polynomial non-operator-preserving stabilization term–of advection-di
Externí odkaz:
https://doaj.org/article/11743cf8b20a4530992658d92e1d5b95
Autor:
Steffen Weisser, Stefano Berrone, Andrea Borio, Marco Verani, Paola F. Antonietti, Alessandro D'Auria
Publikováno v:
IMA Journal of Numerical Analysis. 42:1273-1312
We derive an anisotropic a posteriori error estimate for the adaptive conforming virtual element approximation of a paradigmatic two-dimensional elliptic problem. In particular, we introduce a quasi-interpolant operator and exploit its approximation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bfc019f3bc503d0a62f250e4c4a8eb2
https://doi.org/10.1093/imanum/drab001
https://doi.org/10.1093/imanum/drab001
Publikováno v:
Computational Geosciences. 25:143-162
The aim of this study is to compare numerical methods for the simulation of single-phase flow and transport in fractured media, described here by means of the discrete fracture network (DFN) model. A Darcy problem is solved to compute the advective f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::506752704498fa03759af19721078d01
https://doi.org/10.1007/s10596-020-09996-9
https://doi.org/10.1007/s10596-020-09996-9
In this letter we compare the behaviour of standard Virtual Element Methods (VEM) and stabilization free Enlarged Enhancement Virtual Element Methods (E$^2$VEM) with the focus on some elliptic test problems whose solution and diffusivity tensor are c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b159f13ae2a8de62a82bd915259d9d4
http://arxiv.org/abs/2202.08571
http://arxiv.org/abs/2202.08571
In this paper, a Virtual Element Method (VEM)-based approach is proposed for the simulation of flow in fractured porous media. The method is based on a robust meshing strategy, capable of producing conforming polyhedral meshes of intricate geometries
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d945328a7aad2d0445f83848880b204a
http://hdl.handle.net/11583/2949154
http://hdl.handle.net/11583/2949154
Publikováno v:
Computer methods in applied mechanics and engineering 340 (2018): 500–529. doi:10.1016/j.cma.2018.05.027
info:cnr-pdr/source/autori:S. Berrone, A. Borio, and G. Manzini/titolo:SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations/doi:10.1016%2Fj.cma.2018.05.027/rivista:Computer methods in applied mechanics and engineering/anno:2018/pagina_da:500/pagina_a:529/intervallo_pagine:500–529/volume:340
info:cnr-pdr/source/autori:S. Berrone, A. Borio, and G. Manzini/titolo:SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations/doi:10.1016%2Fj.cma.2018.05.027/rivista:Computer methods in applied mechanics and engineering/anno:2018/pagina_da:500/pagina_a:529/intervallo_pagine:500–529/volume:340
We present the design, convergence analysis and numerical investigations of the nonconforming virtual element method with Streamline Upwind/Petrov-Galerkin (VEM-SUPG) stabilization for the numerical resolution of convection-diffusion-reaction problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f69813d3a7eb12d794c1c98e11245c5b
https://doi.org/10.1016/j.cma.2018.05.027
https://doi.org/10.1016/j.cma.2018.05.027
In the discretization of differential problems on complex geometrical domains, discretization methods based on polygonal and polyhedral elements are powerful tools. Adaptive mesh refinement for such kind of problems is very useful as well and states
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a92716190d0829d4bf105b46fadc5bbb
http://arxiv.org/abs/1912.05403
http://arxiv.org/abs/1912.05403
Publikováno v:
Progress in Nuclear Energy. 106:102-119
This paper deals with a new Control Oriented Model (COM) aimed at studying the dynamic behaviour of the pressurizer in Pressurized Water Reactors (PWRs). In literature, most of the pressurizer COMs treat the vapour and the water filling the system as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfd9f5ef20639569481d5052aefbaa7f
https://doi.org/10.1016/j.pnucene.2018.02.017
https://doi.org/10.1016/j.pnucene.2018.02.017
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 383:113917
We present a hybrid mimetic finite-difference and virtual element formulation for coupled single-phase poromechanics on unstructured meshes. The key advantage of the scheme is that it is convergent on complex meshes containing highly distorted cells
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cec11b0d4cd3c65c784c09b46c6ac510
https://doi.org/10.1016/j.cma.2021.113917
https://doi.org/10.1016/j.cma.2021.113917
Autor:
Andrea Borio, Stefano Berrone
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 27:1423-1458
A residual-based a posteriori error estimate for the Poisson problem with discontinuous diffusivity coefficient is derived in the case of a virtual element discretization. The error is measured considering a suitable polynomial projection of the disc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cbf21a701df79d2862480dbd06ab85b
https://doi.org/10.1142/s0218202517500233
https://doi.org/10.1142/s0218202517500233