Zobrazeno 1 - 10
of 255
pro vyhledávání: '"Manzini, Gianmarco"'
Autor:
Sorgente, Tommaso, Berrone, Stefano, Biasotti, Silvia, Manzini, Gianmarco, Spagnuolo, Michela, Vicini, Fabio
We present an optimization procedure for generic polygonal or polyhedral meshes, tailored for the Virtual Element Method (VEM). Once the local quality of the mesh elements is analyzed through a quality indicator specific to the VEM, groups of element
Externí odkaz:
http://arxiv.org/abs/2404.11484
The stochastic finite volume method offers an efficient one-pass approach for assessing uncertainty in hyperbolic conservation laws. Still, it struggles with the curse of dimensionality when dealing with multiple stochastic variables. We introduce th
Externí odkaz:
http://arxiv.org/abs/2404.06574
Emerging tensor network techniques for solutions of Partial Differential Equations (PDEs), known for their ability to break the curse of dimensionality, deliver new mathematical methods for ultrafast numerical solutions of high-dimensional problems.
Externí odkaz:
http://arxiv.org/abs/2402.18073
This paper introduces a novel eXtended virtual element method, an extension of the conforming virtual element method. The XVEM is formulated by incorporating appropriate enrichment functions in the local spaces. The method is designed to handle highl
Externí odkaz:
http://arxiv.org/abs/2402.02902
Autor:
Truong, Duc P., Ortega, Mario I., Boureima, Ismael, Manzini, Gianmarco, Rasmussen, Kim Ø., Alexandrov, Boian S.
Tensor network techniques, known for their low-rank approximation ability that breaks the curse of dimensionality, are emerging as a foundation of new mathematical methods for ultra-fast numerical solutions of high-dimensional Partial Differential Eq
Externí odkaz:
http://arxiv.org/abs/2309.03347
We present a two-dimensional conforming virtual element method for the fourth-order phase-field equation. Our proposed numerical approach to the solution of this high-order phase-field (HOPF) equation relies on the design of an arbitrary-order accura
Externí odkaz:
http://arxiv.org/abs/2307.16068
Autor:
Čertík, Ondřej, Pask, John E., Fernando, Isuru, Goswami, Rohit, Sukumar, N., Collins, Lee A., Manzini, Gianmarco, Vackář, Jiří
We introduce \texttt{featom}, an open source code that implements a high-order finite element solver for the radial Schr\"odinger, Dirac, and Kohn-Sham equations. The formulation accommodates various mesh types, such as uniform or exponential, and th
Externí odkaz:
http://arxiv.org/abs/2307.05856
Autor:
Sorgente, Tommaso, Vicini, Fabio, Berrone, Stefano, Biasotti, Silvia, Manzini, Gianmarco, Spagnuolo, Michela
We propose a quality-based optimization strategy to reduce the total number of degrees of freedom associated to a discrete problem defined over a polygonal tessellation with the Virtual Element Method. The presented Quality Agglomeration algorithm re
Externí odkaz:
http://arxiv.org/abs/2208.09639
Modeling crack initiation and propagation in brittle materials is of great importance to be able to predict sudden loss of load-carrying capacity and prevent catastrophic failure under severe dynamic loading conditions. Second-order phase-field fract
Externí odkaz:
http://arxiv.org/abs/2205.06815
We present a four-field Virtual Element discretization for the time-dependent resistive Magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete formulation. The proposed method employs general polyhedral meshes and gua
Externí odkaz:
http://arxiv.org/abs/2201.04417