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An Efficient Discontinuous Galerkin Finite Element Method for Highly Accurate Solution of Maxwell Equations

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3 Author(s)
Meilin Liu ; Div. of Phys. Sci. & Eng., King Abdullah Univ. of Sci. & Eng. (KAUST), Thuwal, Saudi Arabia ; Sirenko, K. ; Bagci, H.

A discontinuous Galerkin finite element method (DG-FEM) with a highly accurate time integration scheme for solving Maxwell equations is presented. The new time integration scheme is in the form of traditional predictor-corrector algorithms, PE(CE)m, but it uses coefficients that are obtained using a numerical scheme with fully controllable accuracy. Numerical results demonstrate that the proposed DG-FEM uses larger time steps than DG-FEM with classical PE(CE)m schemes when high accuracy, which could be obtained using high-order spatial discretization, is required.

Published in:

Antennas and Propagation, IEEE Transactions on  (Volume:60 ,  Issue: 8 )

Date of Publication:

Aug. 2012

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