On the cavity detection in a heat conductive medium from time-average boundary temperature measurement

[1]  G. Inglese,et al.  An inverse problem in corrosion detection , 1997 .

[2]  Vo Anh Khoa,et al.  Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements , 2018, SIAM J. Math. Anal..

[3]  Rainer Kress,et al.  An inverse boundary value problem for the heat equation: the Neumann condition , 1999 .

[4]  Numerical simulation of subsurface defect identification by pulsed thermography and improvement of this technique for noisy data , 2019, Frattura ed Integrità Strutturale.

[5]  C. Pagani,et al.  Identifiability problems of defects with the Robin condition , 2009 .

[6]  Daniel L. Balageas,et al.  Characterization and nondestructive testing of carbon-epoxy composites by a pulsed photothermal method , 1987 .

[7]  Yi Li,et al.  Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions , 2018, J. Comput. Phys..

[8]  Antoine Henrot,et al.  A Shape Optimization Problem for the Heat Equation , 1997 .

[9]  Jijun Liu,et al.  On the edge detection of an image by numerical differentiations for gray function , 2018 .

[10]  Yuchan Wang,et al.  On the reconstruction of boundary impedance of a heat conduction system from nonlocal measurement , 2016 .

[11]  Jan Sokolowski,et al.  Shape sensitivity analysis of boundary optimal control problems for parabolic systems , 1988 .

[12]  G. Nakamura,et al.  Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method , 2017 .

[13]  Daniel Lesnic,et al.  Determination of the heat transfer coefficients in transient heat conduction , 2013 .

[14]  Helmut Harbrecht,et al.  On the Numerical Solution of a Shape Optimization Problem for the Heat Equation , 2013, SIAM J. Sci. Comput..

[15]  Hideyuki Azegami,et al.  Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement , 2019 .

[16]  Ronny Ramlau,et al.  Convergence rates for Morozov's discrepancy principle using variational inequalities , 2011 .

[17]  A. Bendada,et al.  Comparative Study of Active Thermography Techniques for the Nondestructive Evaluation of Honeycomb Structures , 2009 .

[18]  T. Kurahashi,et al.  Numerical shape identification of cavity in three dimensions based on thermal non-destructive testing data , 2017 .

[19]  Bangti Jin,et al.  Numerical identification of a Robin coefficient in parabolic problems , 2012, Math. Comput..

[20]  Harvey Thomas Banks,et al.  Boundary estimation problems arising in thermal tomography , 1989 .

[21]  R. Chapko,et al.  A comparison of the Landweber method and the Gauss-Newton method for an inverse parabolic boundary value problem , 2004 .

[22]  Fabien Caubet,et al.  Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions , 2013 .

[23]  Dinh Nho Hào,et al.  Determination of a term in the right-hand side of parabolic equations , 2017, J. Comput. Appl. Math..

[24]  S. Keeling,et al.  A two-phase segmentation approach to the impedance tomography problem , 2016 .