High order non-conforming multi-element discontinuous Galerkin method for time domain electromagnetics
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摘要
We study a high order Discontinuous Galerkin Time Domain (DGTD) method for solving the system of Maxwell equations. This method is formulated on a non-conforming multi-element mesh mixing an unstructured triangulation for the discretization of irregularly shaped objects with a structured (Cartesian) quadrangulation for the rest of the computational domain. Within each element, the electromagnetic field components are approximated by a high order nodal polynomial. The DG method proposed here makes use of a centered scheme for the definition of the numerical traces of the electric and magnetic fields at element interfaces, associated to a second order or fourth order leap-frog scheme for the time integration of the associated semi-discrete equations. We formulate this DGTD method in 3D and study its theoretical properties. In particular, an a priori convergence estimation is elaborated. Finally, we present numerical results for the application of the method to 2D test problems.
论文关键词:Computational electromagnetics,Time-domain Maxwell equations,Discontinuous Galerkin method,Multi-element mesh,Non-conforming mesh
论文评审过程:Available online 10 October 2013.
论文官网地址:https://doi.org/10.1016/j.amc.2013.08.069