The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations

DOI10.1016/j.jcp.2006.01.014zbMath1136.78328OpenAlexW2170372197MaRDI QIDQ2498520

Davit Harutyunyan, J. J. W. van der Vegt, Mikhail A. Botchev

Publication date: 16 August 2006

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/the-gautschi-time-stepping-scheme-for-edge-finite-element-discretizations-of-the-maxwell-equations(76c44d55-a90d-4561-8976-7f6afdf9d04d).html

zbMATH Keywords

Maxwell equationsedge elementsArnoldi processKrylov subspacedispersion analysisGautschi cosine schemestaggered leap frog scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) 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)

Related Items (8)

A framework of the harmonic Arnoldi method for evaluating \(\varphi\)-functions with applications to exponential integrators ⋮ Efficient time integration for discontinuous Galerkin approximations of linear wave equations ⋮ A block Krylov subspace time-exact solution method for linear ordinary differential equation systems ⋮ A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations ⋮ Residual and Restarting in Krylov Subspace Evaluation of the $\varphi$ Function ⋮ ART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluations ⋮ Application of operator splitting to the Maxwell equations including a source term ⋮ Krylov subspace exponential time domain solution of Maxwell's equations in photonic crystal modeling

Uses Software

• RKC

Cites Work

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