Zobrazeno 1 - 10
of 313
pro vyhledávání: '"Droniou, Jérôme"'
In this work we develop a discrete trace theory that spans non-conforming hybrid discretization methods and holds on polytopal meshes. A notion of a discrete trace seminorm is defined, and trace and lifting results with respect to a discrete $H^1$-se
Externí odkaz:
http://arxiv.org/abs/2409.15863
This work performs the convergence analysis of the polytopal nodal discretisation of contact-mechanics (with Tresca friction) recently introduced in [18] in the framework of poro-elastic models in fractured porous media. The scheme is based on a mixe
Externí odkaz:
http://arxiv.org/abs/2404.03045
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
We design in this work a discrete de Rham complex on manifolds. This complex, written in the framework of exterior calculus, is applicable on meshes on the manifold with generic elements, and has the same cohomology as the continuous de Rham complex.
Externí odkaz:
http://arxiv.org/abs/2401.16130
In this study, we explore mixed-dimensional Thermo-Hydro-Mechanical (THM) models in fractured porous media accounting for Coulomb frictional contact at matrix fracture interfaces. The simulation of such models plays an important role in many applicat
Externí odkaz:
http://arxiv.org/abs/2401.12342
In this work we design and analyse a Discrete de Rham (DDR) method for the incompressible Navier-Stokes equations. Our focus is, more specifically, on the SDDR variant, where a reduction in the number of unknowns is obtained using serendipity techniq
Externí odkaz:
http://arxiv.org/abs/2401.04456
Publikováno v:
Comput. Methods Appl. Mech. Engrg. 422, Paper no. 116838, 25p, 2024
The objective of this article is to address the discretisation of fractured/faulted poromechanical models using 3D polyhedral meshes in order to cope with the geometrical complexity of faulted geological models. A polytopal scheme is proposed for con
Externí odkaz:
http://arxiv.org/abs/2312.09319
The gradient discretisation method (GDM) -- a generic framework encompassing many numerical methods -- is studied for a general stochastic Stefan problem with multiplicative noise. The convergence of the numerical solutions is proved by compactness m
Externí odkaz:
http://arxiv.org/abs/2306.12668
Two arbitrary-order constraint-preserving schemes for the Yang--Mills equations on polyhedral meshes
Autor:
Droniou, Jérôme, Qian, Jia Jia
Two numerical schemes are proposed and investigated for the Yang--Mills equations, which can be seen as a nonlinear generalisation of the Maxwell equations set on Lie algebra-valued functions, with similarities to certain formulations of General Rela
Externí odkaz:
http://arxiv.org/abs/2306.09751