Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations
Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations
Based on the analysis of Cockburn et al. [Math. Comp. 78 (2009), pp. 1-24] for a selfadjoint linear elliptic equation, we first discuss superconvergence results for nonselfadjoint linear elliptic problems using discontinuous Galerkin methods. Further, we have extended our analysis to derive superconvergence results for quasilinear elliptic problems. When piecewise …