Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 397, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2019.05.030
Keywords
Two-dimensional Maxwell equations; Local one-dimensional method; Energy structure-preserving; Wendroff scheme; High order compact method
Funding
- National Natural Science Foundation of China [11961036, 11271171, 11301234]
- Natural Science Foundation of Jiangxi Province [20161ACB20006, 20142BCB23009, 20181BAB201008]
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In this paper, some stable and efficient numerical methods are developed for two-dimensional Maxwell equations. To avoid solving large scale algebraic equations, we use local one-dimensional (LOD) technique and split the original equations into several LOD equations. Then, the resulted LOD equations are discretized by Wendroff scheme which is usually applied to simulate hyperbolic-type equations. The Lie-Trotter composition and Strang composition are employed. To improve the computational efficiency and the convergent accurate, the space direction is approximated by high order compact method. Some benchmark symbols, such as stability, conservation laws of the schemes are analyzed. Some numerical examples confirm the theoretical analysis. Numerical results show that the new schemes can not only accurately simulate the electromagnetic waves, including profiles, amplitude, but also capture the energy structures exactly. (C) 2019 Elsevier Inc. All rights reserved.
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