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math.NA2022
A generalized framework for direct discontinuous Galerkin methods for nonlinear diffusion equations
Mustafa Engin Danis, Jue Yan
In this study, we propose a unified, general framework for the direct discontinuous Galerkin methods. In the new framework, the antiderivative of the nonlinear diffusion matrix is…
math.NA2021★ 9 cited
A new direct discontinuous Galerkin method with interface correction for two-dimensional compressible Navier-Stokes equations
Mustafa E. Danis, Jue Yan
We propose a new formula for the nonlinear viscous numerical flux and extend the direct discontinuous Galerkin method with interface correction (DDGIC) of Liu and Yan (H. Liu, J. Y…