Energy-conserved splitting spectral methods for two dimensional Maxwell's equations

DOI10.1016/j.cam.2013.09.048zbMath1293.78014OpenAlexW2080791995MaRDI QIDQ2511295

Fanhai Zeng, Dong Liang, He-Ping Ma

Publication date: 5 August 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.09.048

zbMATH Keywords

Maxwell's equationscollocationenergy-conserved splittingLegendre Galerkin method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Electromagnetic theory (general) (78A25) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (6)

A space-time spectral method for the 1-D Maxwell equation ⋮ Convergence of time-splitting energy-conserved symplectic schemes for 3D Maxwell's equations ⋮ Legendre-tau Chebyshev collocation spectral element method for Maxwell's equations with material interfaces of two dimensional transverse magnetic mode ⋮ Energy-conserved splitting multidomain Legendre-tau spectral method for two dimensional Maxwell's equations ⋮ A high-order accurate multidomain Legendre-Chebyshev spectral method for 2D Maxwell's equations in inhomogeneous media with discontinuous waves ⋮ Optimal error estimate for energy-preserving splitting schemes for Maxwell's equations

Cites Work

• Unnamed Item
• Development of discontinuous Galerkin methods for Maxwell's equations in metamaterials and perfectly matched layers
• A spectral algorithm for solving the relativistic Vlasov-Maxwell equations
• A finite volume method for the approximation of Maxwell's equations in two space dimensions on arbitrary meshes
• Application of operator splitting to the Maxwell equations including a source term
• Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
• A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids
• Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
• Frequency-domain and time-domain finite-element solution of Maxwell's equations using spectral Lanczos decomposition method.
• The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions
• Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries
• Energy-conserved splitting FDTD methods for Maxwell's equations
• A time-splitting spectral scheme for the Maxwell-Dirac system
• A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time domain
• Energy-Conserved Splitting Finite-Difference Time-Domain Methods for Maxwell's Equations in Three Dimensions
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Symplectic discretization for spectral element solution of Maxwell's equations
• Alternating-Direction Galerkin Methods for Parabolic and Hyperbolic Problems on Rectangular Polygons
• An Analysis of Some Galerkin Schemes for the Solution of Nonlinear Time-Dependent Problems
• Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method
• IMPROVED ACCURACY FOR LOCALLY ONE-DIMENSIONAL METHODS FOR PARABOLIC EQUATIONS
• A mortar spectral element method for 3D Maxwell's equations
• Spectral Methods
• On the Construction and Comparison of Difference Schemes

This page was built for publication: Energy-conserved splitting spectral methods for two dimensional Maxwell's equations