Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations
DOI10.1007/s10543-023-00993-9arXiv2210.07908OpenAlexW4387615106MaRDI QIDQ6082220
No author found.
Publication date: 3 November 2023
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.07908
PDEs in connection with optics and electromagnetic theory (35Q60) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Statistical mechanics of plasmas (82D10) Electromagnetic theory (general) (78A25) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Vlasov equations (35Q83)
Cites Work
- Unnamed Item
- Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system
- Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems
- A discontinuous Galerkin method for the Vlasov-Poisson system
- Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems
- Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement
- A numerical scheme for the integration of the Vlasov-Maxwell system of equations
- A conservative scheme for the relativistic Vlasov-Maxwell system
- A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Discontinuous Galerkin methods for relativistic Vlasov-Maxwell system
- Instability of the time splitting scheme for the one-dimensional and relativistic Vlasov-Maxwell system.
- Negative-order norm estimates for nonlinear hyperbolic conservation laws
- VALIS: a split-conservative scheme for the relativistic 2D Vlasov-Maxwell system
- Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions
- Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes
- The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
- Higher Order Local Accuracy by Averaging in the Finite Element Method
- Construction of adjoint operators in non-linear problems of mathematical physics
- Total variation diminishing Runge-Kutta schemes
- Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws
- Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
- The Mathematical Theory of Finite Element Methods
- Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations
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