Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time‐harmonic Maxwell's equations
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Publication:2842756
DOI10.1108/03321641311306196zbMath1282.78007OpenAlexW2048172885MaRDI QIDQ2842756
Liang Li, Ronan Perrussel, Stéphane Lanteri
Publication date: 16 August 2013
Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/03321641311306196
magnetic fieldsdiscontinuous Galerkin methodcomputational electromagneticstriangular meshesmeshestime-harmonic Maxwell's equation
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Electromagnetic theory (general) (78A25)
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Cites Work
- Unnamed Item
- To CG or to HDG: A comparative study
- Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
- Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods
- An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
- An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- An encyclopaedia of cubature formulas.
- Multifrontal parallel distributed symmetric and unsymmetric solvers
- Interior penalty method for the indefinite time-harmonic Maxwell equations
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods
- A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time domain
- High-order accurate implementation of solid wall boundary conditions in curved geometries
- A Hybridizable Discontinuous Galerkin Method for Solving 3D Time-Harmonic Maxwell’s Equations
- Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number
- 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
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Mixed Discontinuous Galerkin Approximation of the Maxwell Operator
- Curved Elements in the Finite Element Method. I
- Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
