Analysis of iterated ADI-FDTD schemes for Maxwell curl equations

DOI10.1016/j.jcp.2006.05.038zbMath1129.78025OpenAlexW2090208304MaRDI QIDQ870596

Bruno D. Welfert

Publication date: 13 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.05.038

zbMATH Keywords

unconditional stabilityfixed-point iterationfinite difference time domaindispersion relationvon Neumann stabilityalternate direction implicit schemeiterated scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20)

Related Items (3)

ADI-FDTD modeling of microwave plasma discharges in air towards fully three-dimensional simulations ⋮ The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell's equations ⋮ Global energy‐tracking identities and global energy‐tracking splitting FDTD schemes for the <scp>D</scp>rude Models of <scp>M</scp>axwell's equations in three‐dimensional metamaterials

Cites Work

• A split step approach for the 3-D Maxwell's equations
• Some unconditionally stable time stepping methods for the 3D Maxwell's equations.
• Fourth order compact implicit method for the Maxwell equations with discontinuous coefficients
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• The instability of the Yee scheme for the ``magic time step
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