Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes
DOI10.1016/j.cam.2018.04.011zbMath1462.65156OpenAlexW2802095082WikidataQ129913762 ScholiaQ129913762MaRDI QIDQ1639534
Jichun Li, Chi-Wang Shu, Cengke Shi
Publication date: 13 June 2018
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.2018.04.011
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)
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Cites Work
- Unnamed Item
- Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials
- Energy conserving local discontinuous Galerkin methods for wave propagation problems
- Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes
- A weak Galerkin finite element method for the Maxwell equations
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Mathematical models for dispersive electromagnetic waves: an overview
- A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials
- Symmetric energy-conserved S-FDTD scheme for two-dimensional Maxwell's equations in negative index metamaterials
- An adaptive \(P_1\) finite element method for two-dimensional transverse magnetic time harmonic Maxwell's equations with general material properties and general boundary conditions
- Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials
- Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media
- Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
- Finite Element Methods for Maxwell's Equations
- Implicit DG Method for Time Domain Maxwell’s Equations Involving Metamaterials
- Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations