Legendre-tau Chebyshev collocation spectral element method for Maxwell's equations with material interfaces of two dimensional transverse magnetic mode
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Publication:6052367
DOI10.1016/j.camwa.2023.07.024MaRDI QIDQ6052367
He-Ping Ma, Cuixia Niu, Dong Liang
Publication date: 21 September 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
spectral element methodMaxwell's equationsmaterial interfacesoptimal error estimatetransverse magnetic modeLegendre-tau Chebyshev collocation method
PDEs in connection with optics and electromagnetic theory (35Q60) 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) Electromagnetic theory (general) (78A25)
Cites Work
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- The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell's equations
- Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers
- Time-domain matched interface and boundary (MIB) modeling of Debye dispersive media with curved interfaces
- A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
- A second-order 3D electromagnetics algorithm for curved interfaces between anisotropic dielectrics on a Yee mesh
- On the immersed interface method for solving time-domain Maxwell's equations in materials with curved dielectric interfaces
- A high-order accurate scheme for Maxwell's equations with a generalized dispersive material (GDM) model and material interfaces
- The adaptive immersed interface finite element method for elliptic and Maxwell interface problems
- Stability and accuracy of time-extrapolated ADI-FDTD methods for solving wave equations
- High order matched interface and boundary methods for the Helmholtz equation in media with arbitrarily curved interfaces
- A block pseudospectral method for Maxwell's equations. I: One-dimensional case
- A new interface condition in the non-overlapping domain decomposition method for the Maxwell equations
- An upwinding embedded boundary method for Maxwell's equations in media with material interfaces: 2D case
- An explicit fourth-order orthogonal curvilinear staggered-grid FDTD method for Maxwell's equations
- High spatial order energy stable FDTD methods for Maxwell's equations in nonlinear optical media in one dimension
- 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
- Fourth order compact implicit method for the Maxwell equations with discontinuous coefficients
- A second order dispersive FDTD algorithm for transverse electric Maxwell's equations with complex interfaces
- An HDG method for Maxwell's equations in heterogeneous media
- A high-order accurate multidomain Legendre-Chebyshev spectral method for 2D Maxwell's equations in inhomogeneous media with discontinuous waves
- Energy-preserving local mesh-refined splitting FDTD schemes for two dimensional Maxwell's equations
- An ADI-Yee's scheme for Maxwell's equations with discontinuous coefficients
- Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials
- Energy-conserved splitting FDTD methods for Maxwell's equations
- Energy-conserved splitting spectral methods for two dimensional Maxwell's equations
- A recovery-based a posteriori error estimator for \(H\)(curl) interface problems
- 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
- Chebyshev‐Legendre spectral method for solving the two‐dimensional vorticity equations with homogeneous Dirichlet conditions
- Block Pseudospectral Methods for Maxwell's Equations II: Two-Dimensional, Discontinuous-Coefficient Case
- Spectral Methods
- High-Order Unconditionally Stable Two-Step Leapfrog ADI-FDTD Methods and Numerical Analysis
- Second-Order Procedure for Modeling Dielectric Material Interfaces in Structured Nonorthogonal Finite-Difference Discretizations of Maxwell's Equations
- Computational Electromagnetics
- A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations
