Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium

DOI10.1007/s11425-011-4305-7zbMath1268.78023OpenAlexW2267185528MaRDI QIDQ1934560

Bo Zhang, Liping Gao

Publication date: 29 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4305-7

zbMATH Keywords

stabilityMaxwell equationssuperconvergencefinite-difference time-domain methodenergy identitiesperfectly electric conducting boundary conditions

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 (12)

Superconvergence analysis of Yee scheme for metamaterial Maxwell's equations on non-uniform rectangular meshes ⋮ The Crank-Nicolson mixed finite element method for the improved system of time-domain Maxwell's equations ⋮ Optimal error estimates and modified energy conservation identities of the ADI-FDTD scheme on staggered grids for 3D Maxwell's equations ⋮ Unnamed Item ⋮ Simulating backward wave propagation in metamaterial with radial basis functions ⋮ Unnamed Item ⋮ New Energy Analysis of Yee Scheme for Metamaterial Maxwell's Equations on Non-Uniform Rectangular Meshes ⋮ A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium ⋮ New energy identities and super convergence analysis of the energy conserved splitting FDTD methods for 3D Maxwell's equations ⋮ Numerical analysis of finite-difference time-domain method for 2D/3D Maxwell's equations in a Cole-Cole dispersive medium ⋮ 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 ⋮ Simulation of electromagnetic wave propagations in negative index materials by the localized RBF-collocation method

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