A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations

@inproceedings{Vidden2013AND,
  title={A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations},
  author={Chad Vidden and Jue Yan},
  year={2013}
}
In this paper we continue the study of discontinuous Galerkin finite element methods for nonlinear diffusion equations following the direct discontinuous Galerkin (DDG) methods for diffusion problems [17] and the direct discontinuous Galerkin (DDG) methods for diffusion with interface corrections [18]. We introduce a numerical flux for the test function, and obtain a new direct discontinuous Galerkin method with symmetric structure. Second order derivative jump terms are included in the… CONTINUE READING