Superconvergence of Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Methods for Linear Hyperbolic Equations
DOI10.1137/18M122916XzbMath1428.65047OpenAlexW2971677399MaRDI QIDQ5233114
Publication date: 16 September 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m122916x
superconvergencehyperbolic equationcorrection functionarbitrary Lagrangian-Eulerian discontinuous Galerkin method (ALE-DG)Radau point
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) First-order hyperbolic systems (35L40)
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Cites Work
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- Superconvergence and time evolution of discontinuous Galerkin finite element solutions
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations
- A discontinuous Galerkin ALE method for compressible viscous flows in moving domains
- Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach
- Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension
- Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension
- Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients
- Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations
- Analysis of Sharp Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Parabolic Equations
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
- Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations
- Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
- Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations
- Point-wise and cell average error estimates of the DG and LDG methods for 1D hyperbolic and parabolic equations
- Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations
- Stability analysis and error estimates of arbitrary Lagrangian–Eulerian discontinuous Galerkin method coupled with Runge–Kutta time-marching for linear conservation laws
- Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes
- Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws
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