Discretized Tikhonov regularization for Robin boundaries localization (Q505762)

scientific article

Language	Label	Description	Also known as
English	Discretized Tikhonov regularization for Robin boundaries localization	scientific article

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instance of

scholarly article

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title

Discretized Tikhonov regularization for Robin boundaries localization (English)

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author

Hui Cao

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Eva Sincich

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Sergei V. Pereverzyev

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published in

Applied Mathematics and Computation

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publication date

26 January 2017

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full work available at URL

https://arxiv.org/abs/1305.1106

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zbMATH Keywords

Tikhonov regularization

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Robin boundary condition

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free boundary problem

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balancing principle

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local identification

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MaRDI profile type

MaRDI publication profile

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cites work

An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on steady state electric data

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A nonlinear elliptic boundary value problem related to corrosion modeling

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Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling

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On the existence and ‘blow-up’ of solutions to a two-dimensional nonlinear boundary-value problem arising in corrosion modelling

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Blow-up behavior of Planar Harmonic Functions Satisfying a Certain Exponential Neumann Boundary Condition

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Q3516563

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Stable determination of corrosion by a single electrostatic boundary measurement

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Detecting nonlinear corrosion by electrostatic measurements

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Solving elliptic Cauchy problems and the identification of nonlinear corrosion

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Linearization of a free boundary problem in corrosion detection

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Uniqueness for the determination of unknown boundary and impedance with the homogeneous Robin condition

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Integral equations for inverse problems in corrosion detection from partial Cauchy data

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Identification of Robin coefficients by the means of boundary measurements

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Recovering unknown terms in a nonlinear boundary condition for Laplace's equation

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Corrosion detection in conducting boundaries: II. Linearization, stability and discretization

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Logarithmic convergence rates for the identification of a nonlinear Robin coefficient

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Lipschitz stability for the inverse Robin problem

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Stability for the Determination of Unknown Boundary and Impedance with a Robin Boundary Condition

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Natural linearization for the identification of a diffusion coefficient in a quasi-linear parabolic system from short-time observations

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The balancing principle for the regularization of elliptic Cauchy problems

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On the balancing principle for some problems of numerical analysis

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Differentiation with Respect to the Domain in Boundary Value Problems

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Geometry of linear ill-posed problems in variable Hilbert scales

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Discretization strategy for linear ill-posed problems in variable Hilbert scales

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A Carleman estimate and the balancing principle in the quasi-reversibility method for solving the Cauchy problem for the Laplace equation

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Identifiers

zbMATH Open document ID

1372.35358

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Mathematics Subject Classification ID

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10.1016/J.AMC.2013.10.036

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Sitelinks

Mathematics(1 entry)

mardi Publication:505762