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Iterative regularization for elliptic inverse problems
Computers & Mathematics with Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akhtar A. Khan, Behzad Djafari Rouhani
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Remarks on the anisotropic Calder\'{o}n problem [PDF]
, 2022 We show uniqueness results for the anisotropic Calder\'{o}n problem stated on transversally anisotropic manifolds. Moreover, we give a convexity result for the range of Dirichlet-to-Neumann maps on general Riemannian manifolds near the zero potential ...
Oksanen, Lauri +5 more
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Approximation of Bayesian inverse problems for PDEs [PDF]
, 2010 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
Dashti, Massoumeh +6 more
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Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming [PDF]
, 2021 Several applications in medical imaging and non-destructive material testing lead to inverse elliptic coefficient problems, where an unknown coefficient function in an elliptic PDE is to be determined from partial knowledge of its solutions.
Harrach, Bastian +2 more
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Solution of inverse problem for an elliptic equation by differential transform method
, 2021 4th International Conference of Mathematical Sciences (ICMS) -- JUN 17-21, 2020 -- Maltepe Univ, ELECTR NETWORKIn this work, inverse problem for an elliptic equation is studied.
Dedeturk, Mutlu, Mutlu Dedeturk
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The method of fundamental solutions for Helmholtz-type problems [PDF]
, 2013 The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations.
Bin-Mohsin, Bandar Abdullah
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Uniqueness results for an inverse periodic transmission problem [PDF]
, 2004 The paper is devoted to the inverse problem of recovering a 2D periodic structure from scattered waves measured above and below the structure. We show that measurements corresponding to a finite number of refractive indices above or below the grating ...
Elschner, Johannes, Yamamoto, Masahiro
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Existence of solution for a segmentation approach to the impedance tomography problem
Electronic Journal of Differential Equations, 2020 In electrical impedance tomography (EIT), image reconstruction of the conductivity distribution of a body can be calculated using measured voltages at the boundary.
Renier Mendoza, Stephen Keeling
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Homogenization of one dimensional elliptic system [PDF]
Computer Methods in Materials Science, 2008 The work presents problem of homogenization of one-dimenional mediums of periodic micrsotructure, and more precisely homogenization of one-dimensional elliptic system of layered periodic micrsotructure.
Paweł Mitkowski, Wojciech Mitkowski
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On some geometric inverse problems for nonscalar elliptic systems [PDF]
Journal of Differential Equations, 2020 In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability results. In particular, we show the way that the observation depends on the perturbations of the domain. In some particular situations, this provides a strategy that could be used to compute approximations to the solution of the ...
Araujo, Raul K.C. +2 more
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