Interior penalty discontinuous Galerkin method for Maxwell's equations: Energy norm error estimates

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摘要

We develop the symmetric interior penalty discontinuous Galerkin (DG) method for the time-dependent Maxwell equations in second-order form. We derive optimal a priori error estimates in the energy norm for smooth solutions. We also consider the case of low-regularity solutions that have singularities in space.

论文关键词：Discontinuous Galerkin methods,Maxwell equations,A priori error analysis

论文评审过程：Received 2 October 2005, Revised 31 January 2006, Available online 1 December 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.01.044