A Prolate-Element Method for Nonlinear PDEs on the Sphere

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	A Prolate-Element Method for Nonlinear PDEs on the Sphere
	Zhang, Jing ; Wang, Li-Lian ; Rong, Zhijian ; Rong ZJ(容志建)
刊名	http://dx.doi.org/10.1007/s10915-010-9421-y
	2011-04
关键词	SPHEROIDAL WAVE-FUNCTIONS SHALLOW-WATER EQUATIONS PARTIAL-DIFFERENTIAL-EQUATIONS BAND-LIMITED FUNCTIONS SPECTRAL ELEMENT FOURIER-ANALYSIS CUBED-SPHERE PSEUDOSPECTRAL METHOD ATMOSPHERIC MODEL ERROR ANALYSIS
英文摘要	AcRF Tier 1 [RG58/08]; Singapore MOE [T207B2202]; Shanghai Municipal Education Commission, China [J50101]; [NRF2007IDM-IDM002-010]; A p-type spectral-element method using prolate spheroidal wave functions (PSWFs) as basis functions, termed as the prolate-element method, is developed for solving partial differential equations (PDEs) on the sphere. The gridding on the sphere is based on a projection of the prolate-Gauss-Lobatto points by using the cube-sphere transform, which is free of singularity and leads to quasi-uniform grids. Various numerical results demonstrate that the proposed prolate-element method enjoys some remarkable advantages over the polynomial-based element method: (i) it can significantly relax the time step size constraint of an explicit time-marching scheme, and (ii) it can increase the accuracy and enhance the resolution.
语种	英语
出版者	J SCI COMPUT
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91104]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Zhang, Jing,Wang, Li-Lian,Rong, Zhijian,et al. A Prolate-Element Method for Nonlinear PDEs on the Sphere[J]. http://dx.doi.org/10.1007/s10915-010-9421-y,2011.
APA	Zhang, Jing,Wang, Li-Lian,Rong, Zhijian,&容志建.(2011).A Prolate-Element Method for Nonlinear PDEs on the Sphere.http://dx.doi.org/10.1007/s10915-010-9421-y.
MLA	Zhang, Jing,et al."A Prolate-Element Method for Nonlinear PDEs on the Sphere".http://dx.doi.org/10.1007/s10915-010-9421-y (2011).