A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics
نویسندگان
چکیده
منابع مشابه
A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics
In this paper, we discuss the formulation, stability and validation of a high-order non-dissipative discontinuous Galerkin (DG) method for solving Maxwell’s equations on non-conforming simplex meshes. The proposed method combines a centered approximation for the numerical fluxes at inter element boundaries, with either a second-order or a fourth-order leap-frog time integration scheme. Moreover...
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In the recent years, there has been an increasing interest in discontinuous Galerkin time domain (DGTD) methods for the solution of the unsteady Maxwell equations modeling electromagnetic wave propagation. One of the main features of DGTD methods is their ability to deal with unstructured meshes which are particularly well suited to the discretization of the geometrical details and heterogeneou...
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A high-order leap-frog based non-dissipative discontinuous Galerkin timedomain method for solving Maxwell’s equations is introduced and analyzed. The proposed method combines a centered approximation for the evaluation of fluxes at the interface between neighboring elements, with a N th-order leap-frog time scheme. Moreover, the interpolation degree is defined at the element level and the mesh ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2010
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.05.015