Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian

A discontinuous Galerkin method is analyzed to approximate the nonlinear Laplacian model problem. The salient feature of the proposed scheme is that it is endowed with a discrete variational principle. The convergence of the discrete approximations to the exact solution is proven. To cite this article: E. Burman, A. Ern, C R. Acad. Sci. Paris, Ser. I 346 (2008). (C) 2008 Academie des sciences.