Uniform-in-time convergence result of numerical methods for non-linear parabolic equations

Jérôme Droniou (1) , Robert Eymard (2)

1 School of Mathematical Sciences [Clayton]
2 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We prove that all Gradient Schemes - which include Finite Element, some Mixed Finite Element and Finite Volume methods - converge uniformly in time when applied to a family of nonlinear parabolic equations which contains the Richards, Stefan and Leray-Lions models.

Domaines: Analyse numérique [math.NA]

Jérôme Droniou, Robert Eymard. Uniform-in-time convergence result of numerical methods for non-linear parabolic equations. Numerische Mathematik, 2015, ⟨10.1007/s00211-015-0733-6⟩. ⟨hal-00949682v3⟩