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	Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport
	Shao, Sihong ; Lu, Tiao ; Cai, Wei
	2011
关键词	Wigner equation quantum transport spectral element methods adaptive mesh RESONANT-TUNNELING DIODE SELF-CONSISTENT SEMICONDUCTOR-DEVICES POISSON PROBLEM MONTE-CARLO EQUILIBRIUM MECHANICS MODEL
英文摘要	A new adaptive cell average spectral element method (SEM) is proposed to solve the time-dependent Wigner equation for transport in quantum devices. The proposed cell average SEM allows adaptive non-uniform meshes in phase spaces to reduce the high-dimensional computational cost of Wigner functions while preserving exactly the mass conservation for the numerical solutions. The key feature of the proposed method is an analytical relation between the cell averages of the Wigner function in the k-space (local electron density for finite range velocity) and the point values of the distribution, resulting in fast transforms between the local electron density and local fluxes of the discretized Wigner equation via the fast sine and cosine transforms. Numerical results with the proposed method are provided to demonstrate its high accuracy, conservation, convergence and a reduction of the cost using adaptive meshes.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000289958900013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Mathematical; SCI(E); 11; ARTICLE; 3,SI; 711-739; 9
语种	英语
出处	SCI
出版者	communications in computational physics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314456]
专题	数学科学学院
推荐引用方式 GB/T 7714	Shao, Sihong,Lu, Tiao,Cai, Wei. Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport. 2011-01-01.

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