Superconvergence of direct discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach
DOI10.1007/s42967-022-00246-6MaRDI QIDQ6537180
Haijin Wang, Xuechun Liu, Xinghui Zhong, Jue Yan
Publication date: 14 May 2024
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Fourier analysissuperconvergenceeigen-structuredirect discontinuous Galerkin (DDG) method with interface correctionsymmetric DDG method
Symbolic computation and algebraic computation (68W30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Methods of ordinary differential equations applied to PDEs (35A24)
Cites Work
- Unnamed Item
- Numerical resolution of discontinuous Galerkin methods for time dependent wave equations
- Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes
- Superconvergence analysis of the Runge-Kutta discontinuous Galerkin methods for a linear hyperbolic equation
- Superconvergence and time evolution of discontinuous Galerkin finite element solutions
- Fourier analysis for discontinuous Galerkin and related methods
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- An analysis of the discontinuous Galerkin method for wave propagation problems
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- Fourier type super convergence study on DDGIC and symmetric DDG methods
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- Fourier type error analysis of the direct discontinuous Galerkin method and its variations for diffusion equations
- Dispersion and dissipation errors of two fully discrete discontinuous Galerkin methods
- Superconvergence of the local discontinuous Galerkin method for one dimensional nonlinear convection-diffusion equations
- Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations
- Superconvergence study of the direct discontinuous Galerkin method and its variations for diffusion equations
- Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach
- Fourier analysis of local discontinuous Galerkin methods for linear parabolic equations on overlapping meshes
- Superconvergence of discontinuous Galerkin solutions for a nonlinear scalar hyperbolic problem
- An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods
- Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations
- Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
- Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions
- Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations
- AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS
- Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension
- Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations
- Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
- Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension
- Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations
- A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations
- The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
- The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
- Analysis of Sharp Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Parabolic Equations
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