The many aspects of super convergence in discontinuous Galerkin schemes

With Jennifer Ryan (University of East Anglia)

The many aspects of super convergence in discontinuous Galerkin schemes

The discontinuous Galerkin (DG) method is a type of finite element method useful for numerically simulating solutions to hyperbolic equations. In this seminar I will focus on a particular property of discontinuous Galerkin (DG) schemes, that of superconvergence. Mainly, what is superconvergence, why is it important, and what are the different manners in which it manifests itself. These ideas translate to other areas of finite element methods and are the basis for many accuracy enhancing techniques.

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