Error analysis of a C~0 discontinuous Galerkin method for Kirchhoff plates

摘要

This paper discusses a priori error analysis of a C~0 discontinuous Galerkin method (CDG) for Kirchhoff plates (cf. [17]). With the help of error estimates of a L~2 orthogonal projection operator and an interpolation operator due to [1,13], we obtain the error estimate for the CDG method in energy norm, following the technique in [6]. The error estimate in H~1 norm is also offered via the duality argument. Several numerical results are performed to support the theory obtained.