An Explicit Nodal Space-Time Discontinuous Galerkin Method for Maxwell’s Equations

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URI: http://hdl.handle.net/10481/50157
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Author
Alvarez Gonzalez, Jesus; Fernández Pantoja, Mario Alberto; González García, Salvador; Díaz Angulo, Luis Manuel
Materia
Discontinuous Galerkin Methods
 
Computational Electrodynamics
 
Space-Time Discontinuous Galerkin
 
Date
2014
Referencia bibliográfica
Diaz Angulo, L; et.al. An Explicit Nodal Space-Time Discontinuous Galerkin Method for Maxwell’s Equations. Microwave and Wireless Components Lett, IEEE , vol.24(12), pp.827,829, 2014 [http://hdl.handle.net/10481/50157]
Sponsorship
This work is partially funded by the National Projects TEC2010-20841- C04-04, TEC2013-48414-C3-01, CSD2008-00068, P09-TIC-5327, P12-TIC- 1442, and from the GENIL excellence network.
Abstract
A novel implicit nodal Space-Time Discontinuous Galerkin (STDG) method is proposed in this paper. An eigenvalue analysis is performed and compared with that for a DG scheme solved with a 4th-Order Runge-Kutta time integrator. We show that STDG offers a significant improvement of dissipative and dispersive properties and allows larger time steps, regardless of the spatial hp-refinement. A domain-decomposition technique is used to introduce an explicit formulation of the method in order to render it computationally efficient.
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Except where otherwise noted, this item's license is described as Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License