Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension
From MaRDI portal
Publication:5113663
DOI10.1090/mcom/3527zbMath1442.65216OpenAlexW3005487470MaRDI QIDQ5113663
Xiaofeng Cai, Yang Yang, Jing-Mei Qiu
Publication date: 15 June 2020
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3527
semi-Lagrangian methodsoptimal convergenceoverlapping meshesoptimal superconvergencediscontinous Galerkin (DG) method
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) First-order hyperbolic equations (35L02)
Related Items
Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations, High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics, Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes, An iteration-free semi-Lagrangian meshless method for Burgers' equations, Central discontinuous Galerkin methods on overlapping meshes for wave equations
Cites Work
- Unnamed Item
- Unnamed Item
- Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system
- A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
- Discontinuous Galerkin error estimation for linear symmetric hyperbolic systems
- Numerical resolution of discontinuous Galerkin methods for time dependent wave equations
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
- Superconvergence and time evolution of discontinuous Galerkin finite element solutions
- Some recent developments in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations
- A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations
- A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting
- Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach
- Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations
- Superconvergence of discontinuous Galerkin solutions for a nonlinear scalar hyperbolic problem
- Spatial and modal superconvergence of the discontinuous Galerkin method for linear equations
- Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation
- Superconvergence of Discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations
- Discontinuous Galerkin error estimation for linear symmetrizable hyperbolic systems
- 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
- Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
- Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations
- Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear 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
- Superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations
- Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations
- Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations
- A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to ut+ux=0
- Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov--Poisson Equations
