11 citations · 20 across the 9 of their papers we have counts for
9 papers
Hodge-Dirac wave systems and structure-preserving discretizations of the linearized Einstein equations
Marien-Lorenzo Hanot, Kaibo Hu
We derive a reformulation of the linearized Arnowitt-Deser-Misner (ADM) equations as a Hodge-Dirac wave system with the divdiv complex, addressing challenges in numerical relativit…
Uniform Poincaré inequalities for the discrete de Rham complex of differential forms
Daniele Di Pietro, Jérôme Droniou, Marien-Lorenzo Hanot +1
In this paper we prove discrete Poincaré inequalities that are uniform in the mesh size for the discrete de Rham complex of differential forms developed in [Bonaldi, Di Pietro, Dro…
Serendipity discrete complexes with enhanced regularity
Daniele Di Pietro, Marien Hanot, Marwa Salah
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…
A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations
Jérôme Droniou, Marien Hanot, Todd Oliynyk
We design in this work a discrete de Rham complex on manifolds. This complex, written in the framework of exterior calculus, has the same cohomology as the continuous de Rham compl…
Uniform Poincaré inequalities for the Discrete de Rham complex on general domains
Daniele A. Di Pietro, Marien-Lorenzo Hanot
In this paper we prove Poincaré inequalities for the Discrete de Rham (DDR) sequence on a general connected polyhedral domain of . We unify the ideas behind the i…
A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem
Daniele A. Di Pietro, Marien-Lorenzo Hanot
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 discre…
Numerical solution of the div-curl problem by finite element exterior calculus
Pascal Azerad, Marien-Lorenzo Hanot
We are interested in the numerical reconstruction of a vector field with prescribed divergence and curl in a general domain of R 3 or R 2 , not necessarily contractible. To this ai…
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes
Marien-Lorenzo Hanot
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 gr…
An arbitrary order and pointwise divergence-free finite element scheme for the incompressible 3D Navier-Stokes equations
M. Hanot
In this paper we discretize the incompressible Navier-Stokes equations in the framework of finite element exterior calculus. We make use of the Lamb identity to rewrite the equatio…