Efficient high-order discontinuous Galerkin schemes with first-order hyperbolic advection-diffusion system approach
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Publication:726978
DOI10.1016/j.jcp.2016.06.006zbMath1349.65468OpenAlexW2410875338MaRDI QIDQ726978
Alireza Mazaheri, Hiroaki Nishikawa
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.06.006
advection-diffusionhigh-orderWENODG with hyperbolic first-order system (DG-H)discontinuous Galerkin (DG)interior penalty (IP)
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A novel stabilization method for high-order shock fitting with finite element methods ⋮ A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics ⋮ Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems ⋮ Solutions of nonlinear differential equations with feature detection using fast Walsh transforms ⋮ Effective high-order energy stable flux reconstruction methods for first-order hyperbolic linear and nonlinear systems ⋮ High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs ⋮ Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids ⋮ Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system
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