Selecting the numerical flux in discontinuous Galerkin methods for diffusion problems
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Publication:556032
DOI10.1007/s10915-004-4145-5zbMath1104.76060OpenAlexW2089833430MaRDI QIDQ556032
Robert M. Kirby, George Em. Karniadakis
Publication date: 13 June 2005
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-004-4145-5
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Cites Work
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- A posteriori error estimation for a new stabilized discontinuous Galerkin method
- AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A Stable Penalty Method for the Compressible Navier–Stokes Equations: I. Open Boundary Conditions
