Handling the divergence constraints in Maxwell and Vlasov-Maxwell simulations
From MaRDI portal
Publication:668377
DOI10.1016/j.amc.2015.07.089zbMath1410.82027OpenAlexW1848840360MaRDI QIDQ668377
Marie Mounier, Martin Campos Pinto, Eric Sonnendrücker
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.089
discrete continuity equationgeneralised Maxwell equationsMaxwell-Vlasov systemparticle in cell (PIC) method
Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items
Constructing exact sequences on non-conforming discrete spaces ⋮ Discontinuous Galerkin sparse grids methods for time domain Maxwell's equations ⋮ A broken FEEC framework for electromagnetic problems on mapped multipatch domains ⋮ Axisymmetric charge-conservative electromagnetic particle simulation algorithm on unstructured grids: application to microwave vacuum electronic devices ⋮ Discontinuous Galerkin algorithms for fully kinetic plasmas ⋮ Editorial: Preface to the special issue ``Recent advances in numerical methods for hyperbolic partial differential equations ⋮ EMPIRE-PIC: A Performance Portable Unstructured Particle-in-Cell Code ⋮ Conservative semi-Lagrangian kinetic scheme coupled with implicit finite element field solver for multidimensional Vlasov Maxwell system ⋮ Compatible Maxwell solvers with particles I: conforming and non-conforming 2D schemes with a strong Ampere law
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact charge-conserving scatter-gather algorithm for particle-in-cell simulations on unstructured grids: a geometric perspective
- A method for incorporating Gauss' law into electromagnetic PIC codes
- Mixed finite elements in \(\mathbb{R}^3\)
- Body-fitted electromagnetic PIC software for use on parallel computers
- Divergence correction techniques for Maxwell solvers based on a hyperbolic model
- Hyperbolic divergence cleaning for the MHD equations
- A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- Charge conservation in electromagnetic PIC codes; spectral comparison of Boris/ DADI and Langdon-Marder methods
- An analysis of Nédélec's method for the spatial discretization of Maxwell's equations
- VALIS: a split-conservative scheme for the relativistic 2D Vlasov-Maxwell system
- Finite element approximation of eigenvalue problems
- Numerical charge conservation in Particle-In-Cell codes
- Finite element exterior calculus, homological techniques, and applications
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Maxwell's equations when the charge conservation is not satisfied
- A new constrained formulation of the Maxwell system
- On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
- Mixed Finite Element Methods and Applications
- GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV–MAXWELL SIMULATIONS
- High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
- Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
- Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
- Exact charge conservation scheme for particle-in-cell simulation with an arbitrary form-factor
