国家自然科学基金(10771033)

作品数：3被引量：5H指数：2
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相关作者：苏京勋刘继军更多>>
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相关期刊：《Science China Mathematics》《Journal of Computational Mathematics》《计算数学》更多>>
相关主题：反问题迭代方法抛物型方程抛物型数值解更多>>
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NUMERICAL SOLUTION OF THE SCATTERING PROBLEM FOR ACOUSTIC WAVES BY A TWO-SIDED CRACK IN 2-DIMENSIONAL SPACE被引量：1
《Journal of Computational Mathematics》2011年第2期141-166,共26页Jijun Liu P.A. Krutitskii M. Sini 
The authors would like to thank the referees for their valuable comments and suggestions which lead to an improved version of this paper. The work of the first author is supported by NSFC（No.10771033）. The first and second authors thank RICAM （Austrian Academy of Sciences） for the hospitality during the special semester on computational biology in 2007 in Linz. The third author is supported by the Austrian science foundation FWF via the project SFB F013/1308. The authors also want to thank Prof. Valentina Kolybasova and H.F.Zhao for their contributions in constructing Example 3.
The wave scattering problem by a crack F in R2 with impedance type boundary is considered. This problem models the diffraction of waves by thin two-sided cylindrical screens. A numerical method for solving the problem...
关键词：Wave scattering Impedance boundary Integral equations Singularity analysis Numerics. 
On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates被引量：2
《Science China Mathematics》2010年第8期2069-2084,共16页WANG HaiBing 1,2 & LIU JiJun 1 1 Department of Mathematics,Southeast University,Nanjing 210096,China 2 School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,China 
supported by National Natural Science Foundation of China (Grant No.10771033)
Consider the determination of Dirichlet-to-Neumann(D-to-N) map from the far-field pattern in inverse scattering problems,which is the key step in some recently developed inversion schemes such as probe method.Essentia...
关键词：INVERSE scattering Dirichlet-to-Neumann map REGULARIZATION mixed RECIPROCITY PRINCIPLE stability 
一类抛物型方程系数反问题的分裂算法被引量：2
《计算数学》2008年第1期99-112,共14页苏京勋 刘继军 
国家自然科学基金(10771033);江苏省自然科学基金(BK2007101)的资助
考虑利用终端时刻的温度u(x,T)=Z_T(x)反演热传导方程u_t-a^2u_(xx)+q(x)u=0,x∈(0,1)中的未知系数q(x)的反问题.通过引进变换v(x,t)=(u_t(x,t)/u(x,t))将此非线性不适定问题的求解分解为两步.首先利用输入数据迭代求解一个非线性的正问...
关键词：反问题 抛物型方程 迭代方法 Sweep方法 正则化 数值解 
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