Robust numerical algorithms based on analytic approximation for the solution of inverse problems in annular domains
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[1] M. Vogelius,et al. On the existence and ‘blow-up’ of solutions to a two-dimensional nonlinear boundary-value problem arising in corrosion modelling , 2003, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[2] J. Leblond,et al. Parameter identification for Laplace equation and approximation in Hardy classes , 2003 .
[3] C. Pommerenke. Boundary Behaviour of Conformal Maps , 1992 .
[4] Martin Smith. The Spectral Theory of Toeplitz Operators Applied to Approximation Problems in Hilbert Spaces , 2005 .
[5] Discrete methods in the study of an inverse problem for Laplace's equation , 1999 .
[6] W. Rudin,et al. ANALYTIC FUNCTIONS OF CLASS Hp , 2010 .
[7] Vladimir Maz’ya,et al. An iterative method for solving the Cauchy problem for elliptic equations , 1991 .
[8] Walter Rudin,et al. Analytic functions of class _ , 1955 .
[9] Identification Harmonique Et Trace Des Classes De Hardy Sur Un Arc De Cercle , 1992 .
[10] Joseph A. Ball,et al. Reproducing kernels for Hardy spaces on multiply connected domains , 1996 .
[11] M. Jaoua,et al. A stable recovery method for the Robin inverse problem , 2004, Math. Comput. Simul..
[12] Michael V. Klibanov,et al. A computational quasi-reversiblility method for Cauchy problems for Laplace's equation , 1991 .
[13] Jonathan R. Partington,et al. Analytic extensions and Cauchy-type inverse problems on annular domains: stability results , 2006 .
[14] G. Goluzin. Geometric theory of functions of a complex variable , 1969 .
[15] Dario Fasino,et al. An inverse Robin problem for Laplace's equation: theoretical results and numerical methods , 1999 .
[16] P. Duren. Theory of H[p] spaces , 1970 .
[17] Nabil Torkhani. Contribution à l'identification fréquentielle robuste des systèmes dynamiques linéaires , 1995 .
[18] F. Santosa,et al. An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on steady state electric data , 1998 .
[19] Error estimates in smoothing noisy data using cubic B-splines , 2008 .
[20] Approximation Problems and Representations of Hardy Spaces in Circular Domains , 1999 .
[21] P. Duren. Theory of Hp Spaces , 2000 .
[22] G. Alessandrini,et al. Stable determination of corrosion by a single electrostatic boundary measurement , 2003 .
[23] R. Kohn,et al. Relaxation of a variational method for impedance computed tomography , 1987 .
[24] Juliette Leblond,et al. Logarithmic stability estimates for a Robin coefficient in two-dimensional Laplace inverse problems , 2004 .
[25] M. Abrahamse. Toeplitz operators in multiply connected regions , 1971 .
[26] M. Vogelius,et al. A nonlinear elliptic boundary value problem related to corrosion modeling , 1998 .
[27] J. Kiefer,et al. Sequential minimax search for a maximum , 1953 .
[28] Fadil Santosa,et al. A Method for Imaging Corrosion Damage in Thin Plates from Electrostatic Data , 1995 .
[29] Denny A. Jones. Principles and prevention of corrosion , 1991 .
[30] Robert V. Kohn,et al. Reinforcement by a thin layer with oscillating thickness , 1987 .
[31] J. Partington,et al. Bounded Extremal and Cauchy–Laplace Problems on the Sphere and Shell , 2010 .
[32] S. B. Childs,et al. INVERSE PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS. , 1968 .
[33] A constrained approximation problem arising in parameter identification , 2002 .
[34] S. Kabanikhin,et al. Optimizational method for solving the Cauchy problem for an elliptic equation , 1995 .
[35] Mohamed Jaoua,et al. Identification of Robin coefficients by the means of boundary measurements , 1999 .
[36] J. Partington,et al. Approximation problems in some holomorphic spaces, with applications , 2001 .
[37] M. Vogelius,et al. Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling , 2002 .
[38] Fadil Santosa,et al. Nondestructive evaluation of corrosion damage using electrostatic measurements , 1995 .