Variational framework for structure-preserving electromagnetic particle-in-cell methods

DOI10.1007/s10915-022-01781-3zbMath1494.35145arXiv2101.09247OpenAlexW3124391312MaRDI QIDQ2147459

Martin Campos Pinto, Katharina Kormann, Eric Sonnendrücker

Publication date: 20 June 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09247

zbMATH Keywords

variational methodsHamiltonian structureparticle-in-cellVlasov-Maxwellstructure-preserving finite elementscommuting de Rham diagram

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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) de Rham theory in global analysis (58A12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Electromagnetic theory (general) (78A25) Vlasov equations (35Q83) Maxwell equations (35Q61) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (8)

A semi-implicit electromagnetic FEM-PIC scheme with exact energy and charge conservation ⋮ A broken FEEC framework for electromagnetic problems on mapped multipatch domains ⋮ An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov-Ampère system with exact curl-free constraint ⋮ Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations ⋮ Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10--16, 2022 ⋮ High-order structure-preserving algorithms for plasma hybrid models ⋮ Geometric particle-in-cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons ⋮ Energy conserving particle-in-cell methods for relativistic Vlasov-Maxwell equations of laser-plasma interaction

Uses Software

• GitHub
• GEMPIC

Cites Work

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• Finite elements in computational electromagnetism
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• Geometric Numerical Integration
• Gauss-compatible Galerkin schemes for time-dependent Maxwell equations
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