Ababacar Diagne
Research Subjects
Research Interests
Ababacar Diagne has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Léon Matar Tine
Université Claude Bernard Lyon 1, CNRS UMR5208, Institut Camille Jordan, Villeurbanne, France
1 shared publication - Mouhamadou Samsidy Goudiaby
Département de Mathématiques, UFR des Sciences et Technologies, Université Assane Seck de Ziguinchor, Ziguinchor BP 523, Senegal
1 shared publication
Latest Publications
- 1 January 2021
- Published by American Institute of Mathematical Sciences (AIMS) in Communications on Pure and Applied Analysis
- Vol. 20 (10) , 3499-3514
Longtime behavior of a second order finite element scheme simulating the kinematic effects in liquid crystal dynamics
We consider an unconditional fully discrete finite element scheme for a nematic liquid crystal flow with different kinematic transport properties. We prove that the scheme converges towards a unique critical point of the elastic energy subject to the finite element subspace, when the number of time steps go to infinity while the time step and mesh size are fixed. A Lojasiewicz type inequality, which is the key for getting the time asymptotic convergence of the whole sequence furnished by the numerical scheme, is also derived.
- 1 January 2021
- Published by American Institute of Mathematical Sciences (AIMS) in Communications on Pure and Applied Analysis
- Vol. 20 (10) , 3499-3514
Longtime behavior of a second order finite element scheme simulating the kinematic effects in liquid crystal dynamics
We consider an unconditional fully discrete finite element scheme for a nematic liquid crystal flow with different kinematic transport properties. We prove that the scheme converges towards a unique critical point of the elastic energy subject to the finite element subspace, when the number of time steps go to infinity while the time step and mesh size are fixed. A Lojasiewicz type inequality, which is the key for getting the time asymptotic convergence of the whole sequence furnished by the numerical scheme, is also derived.