Approximations of degree zero in the Poisson problem

C. Davini , Franck Jourdan (1)

1 CGB - Couplages en Géomécanique et Biomécanique

We discuss a technique for the approximation of the Poisson problem under mixed boundary conditions in spaces of piece-wise constant functions. The method adopts ideas from the theory of Gamma-convergence as a guideline. Some applications are considered and numerical evaluation of the convergence rate is discussed.

Domaines: Analyse numérique [math.NA]

C. Davini, Franck Jourdan. Approximations of degree zero in the Poisson problem. Communications on Pure and Applied Analysis, 2005, 4 (2), pp.269-283. ⟨10.3934/cpaa.2005.4.267⟩. ⟨hal-00583225⟩