A super penalty C0 discontinuous Galerkin method for Kirchhoff plates

摘要

A super penalty C0 discontinuous Galerkin (SPCDG) method is developed for solving the Kirchhoff plate bending problem. For this method, optimal order error estimates in certain broken energy norm and H1-norm are established with k≥5 where k is the order of the finite element polynomial. Moreover, we analyze the error estimates of the SPCDG method with 1≤ k <5.