Discontinuous Galerkin time‐domain solution of Maxwell's equations on locally refined grids with fictitious domains
DOI10.1108/03321641011028206zbMath1194.78051OpenAlexW1976895884MaRDI QIDQ3588975
Serge Piperno, Alexis-Julien Bouquet, Claude Dedeban
Publication date: 10 September 2010
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/10.1108/03321641011028206
Finite difference methods applied to problems in optics and electromagnetic theory (78M20) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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Cites Work
- Mixed finite elements in \(\mathbb{R}^3\)
- The immersed interface method using a finite element formulation
- Absorbing PML boundary layers for wave-like equations
- A mathematical analysis of the PML method
- Fictitious domain method for unsteady problems: application to electromagnetic scattering
- Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
- Error analysis of a fictitious domain method applied to a Dirichlet problem
- A fictitious domain method for Dirichlet problem and applications
- Algebraic convergence for anisotropic edge elements in polyhedral domains
- Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method
- On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
- A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes
- Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates
- Discontinuous Galerkin time‐domain solution of Maxwell's equations on locally‐refined nonconforming Cartesian grids
- Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes