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	Fourier spectral-discontinuous Galerkin method for time-dependent 3-D Schrodinger-Poisson equations with discontinuous potentials
	Lu, Tiao ; Cai, Wei
	2008
关键词	discontinuous Galerkin method spectral method derivative matrix Schrodinger Poisson equations Schrodinger Newton equations total-scattering wave formula PML discontinuous potentials BOUNDARY-CONDITIONS SYSTEMS
英文摘要	In this paper, we propose a high order Fourier spectral-discontinuous Galerkin method for time-dependent Schrodinger-Poisson equations in 3-D spaces. The Fourier spectral Galerkin method is used for the two periodic transverse directions and a high order discontinuous Galerkin method for the longitudinal propagation direction. Such a combination results in a diagonal form for the differential operators along the transverse directions and a flexible method to handle the discontinuous potentials present in quantum heterojunction and supperlattice structures. As the derivative matrices are required for various time integration schemes such as the exponential time differencing and Crank Nicholson methods. explicit derivative matrices of the discontinuous Galerkin method of various orders are derived. Numerical results, using the proposed method with various time integration schemes, are provided to validate the method. (c) 2007 Elsevier B.V. All rights reserved.; Mathematics, Applied; SCI(E); EI; 5; ARTICLE; 1-2; 588-614; 220
语种	英语
出处	SCI ; EI
出版者	计算与应用数学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157780]
专题	数学科学学院
推荐引用方式 GB/T 7714	Lu, Tiao,Cai, Wei. Fourier spectral-discontinuous Galerkin method for time-dependent 3-D Schrodinger-Poisson equations with discontinuous potentials. 2008-01-01.

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