Zobrazeno 1 - 10
of 66
pro vyhledávání: '"65N30, 65N99"'
In this work we address the problem of finding serendipity versions of approximate de Rham complexes with enhanced regularity. The starting point is a new abstract construction of general scope which, given three complexes linked by extension and red
Externí odkaz:
http://arxiv.org/abs/2407.12625
For nonlinear Cosserat elasticity, we consider multiscale methods in this paper. In particular, we explore the generalized multiscale finite element method (GMsFEM) to solve an isotropic Cosserat problem with strain-limiting property (ensuring bounde
Externí odkaz:
http://arxiv.org/abs/2403.14178
In this paper we prove Poincar\'e inequalities for the Discrete de Rham (DDR) sequence on a general connected polyhedral domain $\Omega$ of $\mathbb{R}^3$. We unify the ideas behind the inequalities for all three operators in the sequence, deriving n
Externí odkaz:
http://arxiv.org/abs/2309.15667
In this work, following the Discrete de Rham (DDR) paradigm, we develop an arbitrary-order discrete divdiv complex on general polyhedral meshes. The construction rests 1) on discrete spaces that are spanned by vectors of polynomials whose components
Externí odkaz:
http://arxiv.org/abs/2305.05729
We develop in this work the first polytopal complexes of differential forms. These complexes, inspired by the Discrete De Rham and the Virtual Element approaches, are discrete versions of the de Rham complex of differential forms built on meshes made
Externí odkaz:
http://arxiv.org/abs/2303.11093
In this work we prove that, for a general polyhedral domain of $\mathbb{R}^3$, the cohomology spaces of the discrete de Rham complex of [Di Pietro and Droniou, An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincar\'e in
Externí odkaz:
http://arxiv.org/abs/2209.00957
Autor:
Di Pietro, Daniele A., Droniou, Jérôme
In this work we investigate from a broad perspective the reduction of degrees of freedom through serendipity techniques for polytopal methods compatible with Hilbert complexes. We first establish an abstract framework that, given two complexes connec
Externí odkaz:
http://arxiv.org/abs/2203.02939
Publikováno v:
Comput. Methods Appl. Mech. Engrg. 397, Paper No. 115061, 2022
This paper contains two major contributions. First we derive, following the discrete de Rham (DDR) and Virtual Element (VEM) paradigms, pressure-robust methods for the Stokes equations that support arbitrary orders and polyhedral meshes. Unlike other
Externí odkaz:
http://arxiv.org/abs/2112.09750
Autor:
Hanot, Marien-Lorenzo
In this paper we present an arbitrary-order fully discrete Stokes complex on general polyhedral meshes. We enriche the fully discrete de Rham complex with the addition of a full gradient operator defined on vector fields and fitting into the complex.
Externí odkaz:
http://arxiv.org/abs/2112.03125
In this paper we prove a complete panel of consistency results for the discrete de Rham (DDR) complex introduced in the companion paper [D. A. Di Pietro and J. Droniou, An arbitrary-order discrete de Rham complex on polyhedral meshes. Part I: Exactne
Externí odkaz:
http://arxiv.org/abs/2101.04946