Some Remarks on the Accuracy of a Discontinuous Galerkin Method

Abstract

The discontinuous Galerkin methods have recently found increasing applications in computational fluid dynamics because of their robustness and other practical features. The key feature that distinguishes the discontinuous spectral Galerkin method from its traditional counterpart is that the basis functions in each element are independent of the basis functions in the contiguous elements. The method is thus compact, and it easily accommodates any boundary conditions and complex geometry.