4.5 Article

Second-order topological expansion for electrical impedance tomography

Journal

ADVANCES IN COMPUTATIONAL MATHEMATICS
Volume 36, Issue 2, Pages 235-265

Publisher

SPRINGER
DOI: 10.1007/s10444-011-9205-4

Keywords

Electrical impedance tomography; Inverse problem; Shape and topological derivative; Level sets

Funding

  1. Austrian Ministry of Science and Education
  2. Austrian Science Fundation FWF under START [Y305]
  3. [SFB F32]
  4. Austrian Science Fund (FWF) [F 3204, Y 305] Funding Source: researchfish

Ask authors/readers for more resources

Second-order topological expansions in electrical impedance tomography problems with piecewise constant conductivities are considered. First-order expansions usually consist of local terms typically involving the state and the adjoint solutions and their gradients estimated at the point where the topological perturbation is performed. In the case of second-order topological expansions, non-local terms which have a higher computational cost appear. Interactions between several simultaneous perturbations are also considered. The study is aimed at determining the relevance of these non-local and interaction terms from a numerical point of view. A level set based shape algorithm is proposed and initialized by using topological sensitivity analysis.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.5
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available