Investigation of numerical time-integrations of Maxwell's equations using the staggered grid spatial discretization

DOI10.1002/jnm.570zbMath1108.78016OpenAlexW2154669285MaRDI QIDQ4667847

Robert Horváth, Willy H. A. Schilders, István Faragó

Publication date: 21 April 2005

Published in: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/investigation-of-numerical-timeintegrations-of-the-maxwells-equations-using-the-staggered-grid-spatial-discretization(be1262ea-9400-436c-bcd0-6edbe8e5ecca).html

zbMATH Keywords

stabilityunconditional stabilityMaxwell's equations

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)

Related Items

Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems, A matrix-exponential decomposition based time-domain method for calculating the defect states of scalar waves in two-dimensional periodic structures, Convergence of an ADI splitting for Maxwell's equations, The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations, 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, Unconditionally stable integration of Maxwell's equations

Uses Software

• Expokit

Cites Work

• Unnamed Item
• An iterative solution method for solving \(f(A)x=b\), using Krylov subspace information obtained for the symmetric positive definite matrix A
• A numerical study of large sparse matrix exponentials arising in Markov chains.
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• On Krylov Subspace Approximations to the Matrix Exponential Operator