Details
| Original language | English |
|---|---|
| Pages (from-to) | 153-176 |
| Number of pages | 24 |
| Journal | Inverse Problems in Science and Engineering |
| Volume | 24 |
| Issue number | 1 |
| Publication status | Published - 10 Mar 2015 |
| Externally published | Yes |
Abstract
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.
Keywords
- inverse problem, level set method, Piezoelectric ceramics, XFEM
ASJC Scopus subject areas
- Engineering(all)
- General Engineering
- Computer Science(all)
- Computer Science Applications
- Mathematics(all)
- Applied Mathematics
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In: Inverse Problems in Science and Engineering, Vol. 24, No. 1, 10.03.2015, p. 153-176.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Detection of material interfaces using a regularized level set method in piezoelectric structures
AU - Nanthakumar, Srivilliputtur Subbiah
AU - Lahmer, Tom
AU - Zhuang, Xiaoying
AU - Zi, G.
AU - Rabczuk, Timon
PY - 2015/3/10
Y1 - 2015/3/10
N2 - 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.
AB - 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.
KW - inverse problem
KW - level set method
KW - Piezoelectric ceramics
KW - XFEM
UR - http://www.scopus.com/inward/record.url?scp=84924366466&partnerID=8YFLogxK
U2 - 10.1080/17415977.2015.1017485
DO - 10.1080/17415977.2015.1017485
M3 - Article
AN - SCOPUS:84924366466
VL - 24
SP - 153
EP - 176
JO - Inverse Problems in Science and Engineering
JF - Inverse Problems in Science and Engineering
SN - 1741-5977
IS - 1
ER -