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	On the Bloch decomposition based spectral method for wave propagation in periodic media
	Huang, Zhongyi ; Jin, Shi ; Markowich, Peter A. ; Sparber, Christof
	2010-10-12 ; 2010-10-12
关键词	Klein-Gordon equation Wave propagation Bloch decomposition Time-splitting spectral method Periodic structure Anderson localization NONLINEAR SCHRODINGER-EQUATION ANDERSON LOCALIZATION DISORDERED MEDIA ACOUSTIC-WAVES POTENTIALS LIMITS HOMOGENIZATION APPROXIMATION Acoustics Mechanics Physics, Multidisciplinary
中文摘要	We extend the Bloch-decomposition based time-splitting spectral method introduced in an earlier paper [Z. Huang, S. Jin, P. Markowich, C. Sparber, A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials, SIAM J. Sci. Comput. 29 (2007) 515-538] to the case of (non-)linear Klein-Gordon equations. This provides us with an unconditionally stable numerical method which achieves spectral convergence in space, even in the case where the periodic coefficients are highly oscillatory and/or discontinuous. A comparison to a traditional pseudo-spectral method and to a finite difference/volume scheme shows the superiority Of Our method. We further estimate the stability of our scheme in the presence of random perturbations and give numerical evidence for the well-known phenomenon of Anderson's localization. (C) 2008 Elsevier B.V. All rights reserved.
语种	英语 ; 英语
出版者	ELSEVIER SCIENCE BV ; AMSTERDAM ; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81329]
专题	清华大学
推荐引用方式 GB/T 7714	Huang, Zhongyi,Jin, Shi,Markowich, Peter A.,et al. On the Bloch decomposition based spectral method for wave propagation in periodic media[J],2010, 2010.
APA	Huang, Zhongyi,Jin, Shi,Markowich, Peter A.,&Sparber, Christof.(2010).On the Bloch decomposition based spectral method for wave propagation in periodic media..
MLA	Huang, Zhongyi,et al."On the Bloch decomposition based spectral method for wave propagation in periodic media".(2010).

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