Detection of material interfaces using a regularized level set method in piezoelectric structures
Detection of material interfaces using a regularized level set method in piezoelectric structures
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DOI：
10.1080/17415977.2015.1017485
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发表时间：
2016-01-02
影响因子：
1.3
通讯作者：
Rabczuk, T.
中科院分区：
文献类型：
--
作者：
Nanthakumar, S. S.;Lahmer, T.;Rabczuk, T.
提出了一种求解压电结构中夹杂物界面检测逆问题的算法。材料界面由水平集隐式表示，水平集通过使用总变化惩罚项应用正则化来识别。迭代求解逆问题，每次迭代采用扩展有限元法对结构进行分析。提出了三维结构的检测公式，采用多水平集检测不同材料的夹杂物。结果表明，所提出的迭代方法可以在较高噪声水平下确定材料子域的位置和近似形状。
An algorithm to solve the inverse problem of detecting inclusion interfaces in a piezoelectric structure is proposed. The material interfaces are implicitly represented by level sets which are identified by applying regularization using total variation penalty terms. The inverse problem is solved iteratively and the extended finite element method is used for the analysis of the structure in each iteration. The formulation is presented for three-dimensional structures and inclusions made of different materials are detected by using multiple level sets. The results obtained prove that the iterative procedure proposed can determine the location and approximate shape of material sub-domains in the presence of higher noise levels.