Discretization of Maxwell's equations for non-inertial observers using space-time algebra

DOI10.1007/S00006-018-0841-3zbMath1393.65033arXiv1611.07368OpenAlexW2556863905MaRDI QIDQ1644467

Stefan Kurz, Thomas Weiland, Mariusz Klimek, Sebastian Schöps

Publication date: 21 June 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07368

zbMATH Keywords

Minkowski space-timeClifford's geometric algebrafinite integration techniqueWhitney finite elements

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Clifford algebras, spinors (15A66) Maxwell equations (35Q61) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)

Cites Work

• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Observers and splitting structures in relativistic electrodynamics
• Finite elements in computational electromagnetism
• Piecewise uniform bases and energetic approach for discrete constitutive matrices in electromagnetic problems
• Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms
• Maxwell's equations in Minkowski's world: their premetric generalization and the electromagnetic energy-momentum tensor
• A Unified Successive Pseudoconvex Approximation Framework
• The Shape of Differential Geometry in Geometric Calculus
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