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| 1 | A level set method to reconstruct the discontinuity of the conductivity in EIT显示文摘In this paper, one level set method is applied to finding the interface of discontinuity of the conductivity in EIT(electrical impedance tomography) problem. By choosing one suitable velocity function, a level set reconstruction algorithm is proposed. The theoretical results for EIT problem and regularization are given. Finally the numerical examples demonstrate that the reconstruction algorithm is effcient and stable. | CHEN WenBin CHENG Jin LIN JunShan WANG LiFeng | 2009 | Science China Mathematics2009，52，1： | 6 |
| 2 | 一个抛物型方程不适定问题的全变差正则化方法显示文摘针对一个利用终端观测值重构二阶抛物型方程源项系数的反问题,基于最优控制理论,并利用全变差正则化技巧,将其转化为一个最优控制问题.通过引入一个磨光全变差正则化项,以处理因全变差的不可微性而存在的控制问题唯一最优解的证明难题,进而讨论极小元的存在性和满足它的必要条件.在终端时间较小的假设条件下,利用Sobolev嵌入理论和Poincaré不等式得到了极小元的唯一性与稳定性. | 李照兴 张泰年 蔡成松 | 2016 | 兰州交通大学学报2016，35，3： | 4 |
| 3 | MUSIC ALGORITHM FOR LOCATING POINT-LIKE SCATTERERS CONTAINED IN A SAMPLE ON FLAT SUBSTRATE显示文摘In this paper, we consider a MUSIC algorithm for locating point-like scatterers contained in a sample on flat substrate. Based on an asymptotic expansion of the scattering amplitude proposed by Ammari et al., the reconstruction problem can be reduced to a calculation of Green function corresponding to the background medium. In addition, we use an explicit formulation of Green function in the MUSIC algorithm to simplify the calculation when the cross-section of sample is a half-disc. Numerical experiments are included to demonstrate the feasibility of this method. | 董和平 马富明 张德悦 | 2012 | Acta Mathematica Scientia2012，32，4： | 0 |
| 4 | 多体障碍反散射问题的优化方法显示文摘使用边界积分方程方法与正则化方法求解多体障碍散射问题,使用优化方法求解多体障碍反散射问题.由于引入辅助障碍物,因此散射信息更丰富,重构效果更好.数值实验表明,所给方法优于经典的优化方法. | 尹伟石 于占江 许金凯 孟品超 | 2012 | 吉林大学学报(理学版)2012，50，6： | 0 |
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