Superconvergence of discontinuous Galerkin methods for hyperbolic systems
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Publication:2378249
DOI10.1016/j.cam.2008.02.016zbMath1155.65104OpenAlexW2061852030MaRDI QIDQ2378249
Jiandong Li, Tie Zhang, Shuhua Zhang
Publication date: 7 January 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.02.016
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (4)
Optimal convergence of discontinuous Galerkin methods for continuum modeling of supply chain networks ⋮ Superconvergence of bi-k Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations ⋮ Nonlinear stability of discontinuous Galerkin methods for delay differential equations ⋮ Superconvergence of the space-time discontinuous Galerkin method for linear nonhomogeneous hyperbolic equations
Cites Work
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- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- A second order explicit finite element scheme to multi-dimensional conservation laws and its convergence
- Finite element methods for symmetric hyperbolic equations
- Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions
- Symmetric positive linear differential equations
- A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- A Conservative Finite Element Method for the Korteweg-de Vries Equation
- Convergence of a streamline diffusion finite element method for scalar conservation laws with boundary conditions
- A Finite Element Method for First Order Hyperbolic Equations
- On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- Galerkin Methods for First Order Hyperbolics: An Example
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
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