Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian
Erik Burman, Alexandre Ern · Comptes Rendus Mathématique · 2008
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.