12 citations · 18 across the 5 of their papers we have counts for
7 papers
Raviart Thomas Petrov-Galerkin Finite Elements
François Dubois, Isabelle Greff, Charles Pierre
The general theory of Babuška ensures necessary and sufficient conditions for a mixed problem in classical or Petrov-Galerkin form to be well posed in the sense of Hadamard. Moreov…
Raviart-Thomas finite elements of Petrov-Galerkin type
François Dubois, Isabelle Greff, Charles Pierre
The mixed finite element method for the Poisson problem with the Raviart-Thomas elements of low-level can be interpreted as a finite volume method with a non-local gradient. In thi…
Variational integrators of fractional Lagrangian systems in the framework of discrete embeddings
Loïc Bourdin, Jacky Cresson, Isabelle Greff +1
This paper is a summary of the theory of discrete embeddings introduced in [5]. A discrete embedding is an algebraic procedure associating a numerical scheme to a given ordinary di…
A continuous/discrete fractional Noether's theorem
Loïc Bourdin, Jacky Cresson, Isabelle Greff
We prove a fractional Noether's theorem for fractional Lagrangian systems invariant under a symmetry group both in the continuous and discrete cases. This provides an explicit cons…
Lagrangian for the Convection-Diffusion Equation
Jacky Cresson, Isabelle Greff, Pierre Inizan
Using the asymmetric fractional calculus of variations, we derive a fractional Lagrangian variational formulation of the convection-diffusion equation in the special case of consta…
Discrete embeddings for Lagrangian and Hamiltonian systems
Jacky Cresson, Isabelle Greff, Charles Pierre
The general topic of the present paper is to study the conservation for some structural property of a given problem when discretising this problem. Precisely we are interested with…