Application of the symplectic finite-difference time-domain scheme to electromagnetic simulation
From MaRDI portal
Publication:996485
DOI10.1016/j.jcp.2006.11.027zbMath1135.78014OpenAlexW2020697031WikidataQ57967304 ScholiaQ57967304MaRDI QIDQ996485
Xianliang Wu, Mingsheng Chen, Wei Sha, Zhi Xiang Huang
Publication date: 14 September 2007
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2006.11.027
energy conservationsymplectic integratorhigh-order differencelong-term simulationradiation and scattering
Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40)
Related Items
Numerical analysis of AVF methods for three-dimensional time-domain Maxwell's equations ⋮ Finite difference solution of a nonlinear Klein-Gordon equation with an external source ⋮ Solving electromagnetic scattering from complex composite objects with domain decomposition method based on hybrid surface integral equations ⋮ A second-order 3D electromagnetics algorithm for curved interfaces between anisotropic dielectrics on a Yee mesh ⋮ High-order symplectic FDTD scheme for solving a time-dependent Schrödinger equation ⋮ A unified Hamiltonian solution to Maxwell-Schrödinger equations for modeling electromagnetic field-particle interaction ⋮ A new solution of Schrödinger equation based on symplectic algorithm ⋮ Splitting multisymplectic integrators for Maxwell's equations ⋮ A discrete action principle for electrodynamics and the construction of explicit symplectic integrators for linear, non-dispersive media
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A perfectly matched layer for the absorption of electromagnetic waves
- A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes
- Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
- High-order compact-difference schemes for time-dependent Maxwell equations
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations
- High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces
- Symplectic integrators from composite operator factorizations
- Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
- On multi-symplectic partitioned Runge-Kutta methods for Hamiltonian wave equations
- A Vector Finite Element Time-Domain Method for Solving Maxwell's Equations on Unstructured Hexahedral Grids
- TIME-DOMAIN PARALLEL SIMULATION OF HETEROGENEOUS WAVE PROPAGATION ON UNSTRUCTURED GRIDS USING EXPLICIT, NONDIFFUSIVE, DISCONTINUOUS GALERKIN METHODS
- Sympletic Runge--Kutta Shemes I: Order Conditions
- Time-domain finite-element methods
- Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach
- A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes
- Symplectic Partitioned Runge–Kutta Methods for Constrained Hamiltonian Systems
- Three-dimensional orthogonal vector basis functions for time-domain finite element solution of vector wave equations
- Multi-symplectic Runge–Kutta-type methods for Hamiltonian wave equations
- A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity