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A Discontinuous Galerkin method is used for to the numerical solution of the time-domain Maxwell equations on unstructured meshes. The method relies on the choice of local basis functions, a centered mean approximation for the surface integrals and a second-order leap-frog scheme for advancing in time. The method is proved to be stable for cases with either metallic or absorbing boundary conditions, for a large class of basis functions. A discrete analog of the electromagnetic energy is conserved...
A Discontinuous Galerkin method is used for to the
numerical solution of the time-domain Maxwell equations on
unstructured meshes. The method relies on the choice of local basis
functions, a centered mean approximation for the surface integrals
and a second-order leap-frog scheme for advancing in time. The method
is proved to be stable for cases with either metallic or absorbing
boundary conditions, for a large class of basis functions. A
discrete analog of the electromagnetic energy is conserved...
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