Efficient solution on solving 3D Maxwell equations using stable semi-implicit splitting method | Zendy

Wei Cen | Zendy; Ning Gu | Zendy

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Efficient solution on solving 3D Maxwell equations using stable semi-implicit splitting method

Author(s) -

Wei Cen,

Ning Gu

Publication year - 2016

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4948771

Subject(s) - discretization , alternating direction implicit method , finite difference time domain method , maxwell's equations , stability (learning theory) , domain (mathematical analysis) , mathematics , crank–nicolson method , finite difference method , computer science , scheme (mathematics) , mathematical analysis , physics , quantum mechanics , machine learning

In this paper, we propose an efficient solution on solving 3-dimensional (3D) time-domain Maxwell equations using the semi-implicit Crank-Nicholson (CN) method for time domain discretization with advantage of unconditional time stability. By applying the idea of fractional steps method (FSM) to the CN scheme, the proposed method provides a much simpler and efficient implementation than a direct implementation of the CN scheme. Compared with the alternating-direction implicit (ADI) method and explicit finite-difference time-domain approach (FDTD), it significantly saves the computational resource like memory and CPU time while remains similar numerical accuracy

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