首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Efficient and stable perfectly matched layer for CEM
Institution:1. Department of Geophysics, Stanford University, Stanford, CA, United States;2. Division of Scientific Computing, Uppsala University, Uppsala, Sweden;1. Department of Computational and Applied Mathematics, China University of Petroleum, Qingdao 266580, PR China;2. Department of Mathematics, East China Normal University, Shanghai 200062, PR China;3. Laboratório Nacional de Computação Científica, MCTI Avenida Getúlio Vargas 333, 25651-075 Petrópolis, RJ, Brazil;1. Department of Electrical Engineering, Incheon National University, Incheon 406772, South Korea;2. Research Division, Plansee Korea HPM Inc., Hwaseong 18469, South Korea;3. Device Platforms Lab., Device Engineering Labs, Korea Advanced Nano Fab Center (KANC), Suwon 443270, South Korea;4. Applied Optics and Energy Research Group, Korea Institute of Industrial Technology, Gwangju 500480, South Korea;1. Dept. of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), NO-7491 Trondheim, Norway;2. Dept. of Petroleum Engineering, University of Stavanger (UiS), NO-4036 Stavanger, Norway;3. SINTEF Materials and Chemistry, P.O. Box 4760 Sluppen, NO-7465 Trondheim, Norway;4. SINTEF Energy Research, P.O. Box 4761 Sluppen, NO-7465 Trondheim, Norway
Abstract:An efficient unsplit perfectly matched layer for numerical simulation of electromagnetic waves in unbounded domains is derived via a complex change of variables. In order to surround a Cartesian grid with the PML, the time-dependent PML requires only one (scalar) auxiliary variable in two space dimensions and six (scalar) auxiliary variables in three space dimensions. It is therefore cheap and straightforward to implement. We use Fourier and energy methods to prove the stability of the PML. We extend the stability result to a semi-discrete PML approximated by central finite differences of arbitrary order of accuracy and to a fully discrete problem for the ‘Leap-Frog’ schemes. This makes precise the usefulness of the derived PML model for longtime simulations. Numerical experiments are presented, illustrating the accuracy and stability of the PML.
Keywords:Maxwell?s equations  Fourier analysis  Perfectly matched layers  Energy estimates  Well-posedness  Stability  High order accuracy  Efficiency
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号