A posteriori error estimates for the one and one-half dimensional relativistic Vlasov-Maxwell system
DOI10.1007/s10543-017-0666-9zbMath1448.65149arXiv1612.07532OpenAlexW2176896355WikidataQ59611172 ScholiaQ59611172MaRDI QIDQ1742579
Christoffer Standar, Mohammad Asadzadeh
Publication date: 11 April 2018
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.07532
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On streamline diffusion schemes for the one and one-half dimensional relativistic Vlasov-Maxwell system
- Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics
- Two families of mixed finite elements for second order elliptic problems
- On classical solutions in the large in time of two-dimensional Vlasov's equation
- Stabilized interior penalty methods for the time-harmonic Maxwell equations.
- Global weak solutions of the Vlasov-Maxwell system with boundary conditions
- Basic principles of mixed Virtual Element Methods
- Finite Element Methods for Maxwell's Transmission Eigenvalues
- On a Vlasov–Schrödinger–Poisson Model
- On the ‘one and one-half dimensional’ relativistic Vlasov-Maxwell system
- Symmetric positive linear differential equations
- Local boundary conditions for dissipative symmetric linear differential operators
- Global existence of classical solutions for a Vlasov-Schrodinger-Poisson system
- Global weak solutions of Vlasov‐Maxwell systems
- Streamline diffusion methods for the Vlasov-Poisson equation
- Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
- Convergence analysis of the streamline diffusion and discontinuous Galerkin methods for the Vlasov-Fokker-Planck system
- Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations