Error analysis of a DG method employing ideal elements applied to a nonlinear convection–diffusion problem
DOI10.1515/JNUM.2011.007zbMath1298.65152MaRDI QIDQ3087041
Publication date: 2 August 2011
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
optimal error estimatescurved boundarytime-dependent convection-diffusion equationideal curved triangulationsemidiscretized discontinuous Galerkin method
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- Unnamed Item
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
- A discontinuous \(hp\) finite element method for diffusion problems: 1-D analysis
- A finite volume discontinuous Galerkin scheme for nonlinear convection-diffusion problems
- Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Curved Elements in the Finite Element Method. I
- Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems
- L ∞ (L 2)-error estimates for the DGFEM applied to convection–diffusion problems on nonconforming meshes
- Effect of numerical integration in the DGFEM for nonlinear convection‐diffusion problems
- Error Estimates of the Discontinuous Galerkin Method for Nonlinear Nonstationary Convection-Diffusion Problems
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