论文信息 - Stable determination of a crack from boundary measurements - 字舞流文

Stable determination of a crack from boundary measurements

We treat the problem of determining a crack inside a conductor when two pairs of current and voltage boundary measurements are given. We prove a theorem of continuous dependence from the data.

Giovanni Alessandrini | G. Alessandrini

[1] Avner Friedman,et al. Determining Cracks by Boundary Measurements , 1989 .

[2] A. Nachman,et al. Reconstructions from boundary measurements , 1988 .

[3] Victor Isakov,et al. Inverse Source Problems , 1990 .

[4] J. Walsh. The Location of Critical Points of Analytic and Harmonic Functions , 1950 .

[5] E. Beretta,et al. Stability results for an inverse problem in potential theory , 1990 .

[6] J. Sylvester,et al. A global uniqueness theorem for an inverse boundary value problem , 1987 .

[7] Fadil Santosa,et al. A computational algorithm to determine cracks from electrostatic boundary measurements , 1991 .

[8] Renato Spigler. Applied and Industrial Mathematics , 1899 .

[9] Kurt Bryan,et al. A uniqueness result concerning the identification of a collection of cracks from finitely many electrostatic boundary measurements , 1992 .

[10] P. Duren,et al. Robin functions and energy functionals of multiply connected domains. , 1991 .