New energy identities and super convergence analysis of the energy conserved splitting FDTD methods for 3D Maxwell's equations

DOI10.1002/mma.2605zbMath1262.78010OpenAlexW1980205387MaRDI QIDQ4919628

Wenbin Chen, Liping Gao, Xingjie Li

Publication date: 14 May 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2605

zbMATH Keywords

Maxwell's equationsenergy conservationsuper-convergencefinite-difference time-domain(FDTD) method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods applied to problems in optics and electromagnetic theory (78M20)

Related Items (5)

Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems ⋮ Convergence of time-splitting energy-conserved symplectic schemes for 3D Maxwell's equations ⋮ New Energy Analysis of Yee Scheme for Metamaterial Maxwell's Equations on Non-Uniform Rectangular Meshes ⋮ Error Analysis of an Energy Preserving ADI Splitting Scheme for the Maxwell Equations ⋮ Analysis of a dimension splitting scheme for Maxwell equations with low regularity in heterogeneous media

Cites Work

• Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium
• The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions
• Energy-conserved splitting FDTD methods for Maxwell's equations
• Energy-Conserved Splitting Finite-Difference Time-Domain Methods for Maxwell's Equations in Three Dimensions
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
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