journal article·1993-09

Crack determination from boundary measurements?Reconstruction using experimental data

Valdis Liepa, Fadil Santosa, Michael Vogelius

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Abstract

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Research context

OpenAlex topics: Electrical and Bioimpedance Tomography · Non-Destructive Testing Techniques · Flow Measurement and Analysis

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References (13)

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3. D. Barber and B. Brown. Progress in electrical impedance tomography, inInverse Problems in Partial Differential Equations, D. Coltonet al., eds. (SIAM Publications, Philadelphia), pp. 151?164 (1990).
4. K. Bryan and M. Vogelius. A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements,SIAM J. Math. Anal. 23:950?958 (1992).10.1137/0523051 ↗
5. K. Bryan and M. Vogelius. A computational algorithm for crack determination. The multiple crack case.Int. J. Eng. Sci. (to appear).
6. M. Cheney, D. Isaacson, J. Newell, S. Simske, and J. Goble. NOSER: An algorithm for solving the inverse conductivity problem.Int. J. Imaging Syst. and Technol. 22:66?75 (1990).10.1002/ima.1850020203 ↗
7. R. V. Churchill and J. W. Brown.Complex Variables and Applications (McGraw-Hill Book Co., New York, 1984).
8. M. Eggleston, R. Schwabe, D. Isaacson, and L. Coffin. The Application of Electric Current Computed Tomography to Defect Imaging in Metals, GE Research and Development Center Technical Information Series 89CRD158, 1989.10.1007/978-1-4684-5772-8_56 ↗
9. A. Friedman and M. Vogelius. Determining cracks by boundary measurements,Ind. Univ. Math. J. 38:527?556 (1989).10.1512/iumj.1989.38.38025 ↗
10. R. Halmshaw,Non-Destructive Testing (Edward Arnold, London, 1987).
11. N. Nishimura and S. Kobayashi. A boundary integral equation method for an inverse problem related to crack detection,Int. J. Num. Meth. Eng. 32:1371?1387 (1991).10.1002/nme.1620320702 ↗
12. F. Santosa and M. Vogelius. A backprojection algorithm for electrical impedance imaging,SIAM J. Appl. Math. 50:216?243 (1990).10.1137/0150014 ↗
13. F. Santosa and M. Vogelius. A computational algorithm to determine cracks from electrostatic boundary measurements,Int. J. Eng. Sci. 29:917?937 (1991).10.1016/0020-7225(91)90166-Z ↗