An explicit mapped tent pitching scheme for Maxwell equations

DOI10.1007/978-3-030-39647-3_28zbMath1484.65219arXiv1906.11029OpenAlexW2954887805MaRDI QIDQ2054341

Joachim Schöberl, Christoph M. Wintersteiger, Jay Gopalakrishnan, Matthias Hochsteger

Publication date: 2 December 2021

Full work available at URL: https://arxiv.org/abs/1906.11029

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Electromagnetic theory (general) (78A25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Maxwell equations (35Q61)

Related Items (5)

A space-time interior penalty discontinuous Galerkin method for the wave equation ⋮ Global space-time Trefftz DG schemes for the time-dependent linear wave equation ⋮ A space-time Trefftz DG scheme for the time-dependent Maxwell equations in anisotropic media ⋮ Convergence analysis of some tent-based schemes for linear hyperbolic systems ⋮ Stability of structure-aware Taylor methods for tents

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