bsplinepatchesandtransfiniteinterpolationmethodforpdecontrolledsimulation

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	bsplinepatchesandtransfiniteinterpolationmethodforpdecontrolledsimulation
	Liu Yuanjie; Li Hongbo
	2012-01-01
发表期刊	journalofsystemsscienceandcomplexity
ISSN	1009-6124
卷号	25 期号:2 页码:348
摘要	This paper is to discuss an approach which combines B-spline patches and transfinite interpolation to establish a linear algebraic system for solving partial differential equations and modify the WEB-spline method developed by Klaus Hollig to derive this new idea. First of all, the authors replace the R-function method with transfinite interpolation to build a function which vanishes on boundaries. Secondly, the authors simulate the partial differential equation by directly applying differential operators to basis functions, which is similar to the RBF method rather than Hollig's method. These new strategies then make the constructing of bases and the linear system much more straightforward. And as the interpolation is brought in, the design of schemes for solving practical PDEs can be more flexible. This new method is easy to carry out and suitable for simulations in the fields such as graphics to achieve rapid rendering. Especially when the specified precision is not very high, this method performs much faster than WEB-spline method.
语种	英语
资助项目	[NKBRSF] ; [NSFC]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/39617
专题	系统科学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Liu Yuanjie,Li Hongbo. bsplinepatchesandtransfiniteinterpolationmethodforpdecontrolledsimulation[J]. journalofsystemsscienceandcomplexity,2012,25(2):348.
APA	Liu Yuanjie,&Li Hongbo.(2012).bsplinepatchesandtransfiniteinterpolationmethodforpdecontrolledsimulation.journalofsystemsscienceandcomplexity,25(2),348.
MLA	Liu Yuanjie,et al."bsplinepatchesandtransfiniteinterpolationmethodforpdecontrolledsimulation".journalofsystemsscienceandcomplexity 25.2(2012):348.