An Explicit Nodal Space-Time Discontinuous Galerkin Method for Maxwell’s Equations
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AuthorAlvarez Gonzalez, Jesus; Fernandez Pantoja, Mario; Gonzalez Garcia, Salvador; Diaz Angulo, Luis
Discontinuous Galerkin MethodsComputational ElectrodynamicsSpace-Time Discontinuous Galerkin
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]
SponsorshipThis 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.
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.