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Caldeórn方法在电阻抗反问题中的应用
The Calderón Method for Application in Inverse Problem of Electric Impedance
【摘要】 Caldern给出了一种对边界值的测量而近似求解导电率的方法。讨论了由三个同心圆盘构成的二维区域的阻抗反问题。通过对Caldern方法的应用,得到了电介质系数的近似计算公式,此公式可以反演出不同介质的位置。这个结果对临床诊断有理论指导意义。
【Abstract】 Caldern provided a method to approximate the conductivity by the measurement of boundary data. We discuss the inverse problem of electric impedance inside a bounded domain B in R2 which constructed with three homogeneous concentric circles. An approximation formalation about electric impedence is gotten and shown that the locations of difference medium can be determined exactly. This result will be useful for clinical monitoring application in theory.
【关键词】 Caldeórn方法;
电阻抗反问题;
线性化近似;
反演;
【Key words】 Calderón method; inverse problem of electric impedance; linearization approximate; reconstruction;
【Key words】 Calderón method; inverse problem of electric impedance; linearization approximate; reconstruction;
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2003年01期
- 【分类号】O175.29
- 【下载频次】47