Convergence and stability of a discontinuous galerkin time-domain method for the 3D heterogeneous maxwell equations on unstructured meshes
By Loula Fezoui, Stéphane Lanteri, Stephanie Lohrengel, Serge Piperno. 2005
309 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/afd7262ac764abf41be2c3edb7b1ba6da30e0ade
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In Atomic and Molecular Physics, and Optics
- Chi-Wang Shu
- Serge Piperno
- Ching-Shan Chou
- Yulong Xing
- Francesco Tornabene
- Erasmo Viola
- Nicholas Fantuzzi
- M. Bacciocchi
In Computational Mechanics
- Chi-Wang Shu
- Yulong Xing
- Serge Piperno
- Ching-Shan Chou
- Patrick Joly
- Eleuterio F. Toro
- Jianxian Qiu
- Michael Dumbser
In Electrical and Electronic Engineering
- Chi-Wang Shu
- Serge Piperno
- Ching-Shan Chou
- Yulong Xing
- Patrick Joly
- Jean Charles Gilbert
- Junfeng Zhang
Citations in the corpus
- Energy conserving local discontinuous Galerkin methods for wave propagation problems (2013, methodology): “A suboptimal DG method using central fluxes, which is also energy conserving, has been presented in [16] for Maxwell’s equations.”
- Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems (2006, methodology): “before time discretization and after Discontinuous Galerkin space discretization), the semi-discretized method based on Pk polynomials inside all elements yields an error in h if totally centered fluxes are used [10] and in h if upwind fluxes are used [13].”
- Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions (2008, background): “Several approaches lead naturally to problems of the form (2), among which • variational finite differences [10, 12, 1], • finite element methods [8, 7], • mixed finite element methods [9, 21], • conservative discontinuous Galerkin methods [17, 15].”