New Energy Analysis of Yee Scheme for Metamaterial Maxwell's Equations on Non-Uniform Rectangular Meshes
DOI10.4208/AAMM.OA-2020-0208zbMath1488.65221MaRDI QIDQ5157092
Publication date: 12 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) 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) Composite media; random media in optics and electromagnetic theory (78A48) Initial value problems for second-order hyperbolic equations (35L15)
Cites Work
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- Superconvergence analysis of Yee scheme for metamaterial Maxwell's equations on non-uniform rectangular meshes
- Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials
- Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials
- Stability of FDTD on nonuniform grids for Maxwell's equations in lossless media
- Splitting multisymplectic integrators for Maxwell's equations
- Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium
- Symmetric energy-conserved S-FDTD scheme for two-dimensional Maxwell's equations in negative index metamaterials
- Numerical analysis of a leapfrog ADI-FDTD method for Maxwell's equations in lossy media
- Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials
- Energy-conserved splitting FDTD methods for Maxwell's equations
- Error analysis of mixed finite element methods for wave propagation in double negative metamaterials
- Developing and analyzing fourth-order difference methods for the metamaterial Maxwell's equations
- Optical Conformal Mapping
- Nonconforming Finite Element Methods for Wave Propagation in Metamaterials
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- A Convergence Analysis of Yee’s Scheme on Nonuniform Grids
- Development and analysis of Crank‐Nicolson scheme for metamaterial Maxwell's equations on nonuniform rectangular grids
- Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
- New energy identities and super convergence analysis of the energy conserved splitting FDTD methods for 3D Maxwell's equations
- Energy conservation and super convergence analysis of the EC‐S‐FDTD schemes for Maxwell equations with periodic boundaries
- 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
- Solving Maxwell's Equation in Meta-Materials by a CG-DG Method
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