Found 582 Documents (Results 1–100)
On the reconstruction of medium conductivity by integral equation method based on the Levi function. (English) Zbl 07901603
Optimization method of solving cloaking problem for 2D electrical conductivity model. (Russian. English summary) Zbl 07879489
Inverse conductivity problem with one measurement: uniqueness of multi-layer structures. (English) Zbl 1543.35294
A boundary integral equation method for the complete electrode model in electrical impedance tomography with tests on experimental data. (English) Zbl 1541.65139
Determination of the thermal conductivity and volumetric heat capacity of substance from heat flux. (English) Zbl 07862406
Conductivity imaging from internal measurements with mixed least-squares deep neural networks. (English) Zbl 1537.65160
Stability estimates for the inverse fractional conductivity problem. (English) Zbl 1537.35409
Reviewer: Pu-Zhao Kow (Taipei City)
A machine learning approach coupled with polar coordinate based localized collocation method for inner surface identification in heat conduction problem. (English) Zbl 1538.80011
On the uniqueness of identification the thermal conductivity and heat capacity of substance. (English) Zbl 07730543
Khachay, Michael (ed.) et al., Mathematical optimization theory and operations research. 22nd international conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13930, 68-82 (2023).
MSC:
80-XX
Stability and reconstruction of a special type of anisotropic conductivity in magneto-acoustic tomography with magnetic induction. (English) Zbl 1518.35668
Increasing stability for the inverse source problem in electromagnetic waves with conductivity. (English) Zbl 1518.35692
Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically. (English) Zbl 07698916
Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling. (English) Zbl 1514.92049
Stable determination of an anisotropic inclusion in the Schrödinger equation from local Cauchy data. (English) Zbl 1512.35658
Imaging of conductivity distribution based on a combined reconstruction method in brain electrical impedance tomography. (English) Zbl 1512.78021
Existence and uniqueness in anisotropic conductivity reconstruction with Faraday’s law. (English) Zbl 1512.35666
Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem. (English) Zbl 1511.49023
Comments on the determination of the conductivity by boundary measurements. (English) Zbl 1498.35613
Numerical study of stability of an algorithm for identifying the thermal conductivity in the three-dimensional case. (English) Zbl 1531.65147
DeepBHCP: deep neural network algorithm for solving backward heat conduction problems. (English) Zbl 07699221
Identification of thermophysical parameters in mathematical models of heat and mass transfer. (English) Zbl 1513.35547
Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements. (English) Zbl 1500.35310
Reviewer: Giovanni S. Alberti (Genova)
Investigation of a non-iterative technique based on topological derivatives for fast localization of small conductivity inclusions. (English) Zbl 1524.35762
A wavelet frame constrained total generalized variation model for imaging conductivity distribution. (English) Zbl 1494.78011
Calderón’s inverse problem with a finite number of measurements. II: independent data. (English) Zbl 1494.35179
Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements. (English) Zbl 1494.35180
A Calderón type inverse problem for tree graphs. (English) Zbl 1493.15063
Reviewer: Stefano Serra Capizzano (Como)
A new method for identifying temperature-dependent thermal conductivity in transient heat conduction problems based on element differential method. (English) Zbl 1521.80035
Refined stability estimates in electrical impedance tomography with multi-layer structure. (English) Zbl 1481.78009
Multidimensional thermal structures in the singularly perturbed stationary models of heat and mass transfer with a nonlinear thermal diffusion coefficient. (English) Zbl 1473.35023
Sensitivity analysis of the complete electrode model for electrical impedance tomography. (English) Zbl 1484.65288
Phaseless problem of determination of anisotropic conductivity in electrodynamic equations. (English. Russian original) Zbl 1486.35470
Dokl. Math. 104, No. 3, 385-389 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 79-83 (2021).
Thermal aspects of Oldroyd-B nanofluid over accelerated surface with variable thermal conductivity and modified diffusion theories. (English) Zbl 1490.82031
Determination of the locations of boreholes for temperature measurement during artificial ground freezing. (English. Russian original) Zbl 1483.74066
Mech. Solids 56, No. 7, 1340-1351 (2021); translation from Prikl. Mat. Mekh. 85, No. 2, 257-272 (2021).
Stability for the Calderón’s problem for a class of anisotropic conductivities via an ad hoc misfit functional. (English) Zbl 1479.35947
On coefficient inverse problems of heat conduction for functionally graded materials. (English) Zbl 1478.80001
Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 303-316 (2021).
Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals. (English) Zbl 1540.93105
Simultaneous reconstruction of conductivity, boundary shape, and contact impedances in electrical impedance tomography. (English) Zbl 1478.35231
Problem of determining the anisotropic conductivity in electrodynamic equations. (English. Russian original) Zbl 1478.78037
Dokl. Math. 103, No. 1, 44-46 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 53-55 (2021).
On the identification of the heat conductivity distribution from partial dynamic boundary measurements. (English) Zbl 1475.35414
Colour level set regularization for the electromagnetic imaging of highly discontinuous parameters in 3D. (English) Zbl 1470.78004
Optimization approach for axisymmetric electric field cloaking and shielding. (English) Zbl 1473.35214
Identification of the timewise thermal conductivity in a 2D heat equation from local heat flux conditions. (English) Zbl 1473.65166
Chebyshev pseudospectral method in the reconstruction of orthotropic conductivity. (English) Zbl 1473.65231
3D electrical impedance tomography reconstructions from simulated electrode data using direct inversion \(\mathbf{t}^{\mathbf{exp}}\) and Calderón methods. (English) Zbl 1481.65211
Numerical conductivity reconstruction from partial interior current density information in three dimensions. (English) Zbl 1472.35461
A dual self-monitored reconstruction scheme on the TV-regularized inverse conductivity problem. (English) Zbl 1470.94016
Lipschitz stable determination of polygonal conductivity inclusions in a two-dimensional layered medium from the Dirichlet-to-Neumann map. (English) Zbl 1475.35410
Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk)
Stability of the inverse problem for Dini continuous conductivities in the plane. (English) Zbl 1467.35357
The enclosure method for a generalized anisotropic complex conductivity equation. (English) Zbl 1465.35407
Inverse Probl. 37, No. 5, Article ID 055010, 26 p. (2021); corrigendum ibid. 37, No. 7, Article ID 079501, 3 p. (2021).
Identification of thermal conductivity for orthotropic FGMs by DT-DRBEM and L-M algorithm. (English) Zbl 1473.65176
Lecture on Calderón problem. (English) Zbl 1459.35397
Ammari, Kaïs (ed.) et al., Identification and control: some challenges. Summer school, Monastir, Tunisia, June 18–20, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 757, 1-18 (2020).
A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón’s method in the plane. (English) Zbl 1454.65155
A second order Calderón’s method with a correction term and a priori information. (English) Zbl 1453.35194
Quantitative Jacobian determinant bounds for the conductivity equation in high contrast composite media. (English) Zbl 1454.35092
Application of the fast automatic differentiation technique for solving inverse coefficient problems. (English. Russian original) Zbl 1455.80007
Comput. Math. Math. Phys. 60, No. 1, 15-25 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 18-28 (2020).
Reviewer: Aleksey Syromyasov (Saransk)
An inverse conductivity problem in multifrequency electric impedance tomography. (English) Zbl 1443.35182
Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 3-30 (2020).
Nachman’s reconstruction method for the Calderón problem with discontinuous conductivities. (English) Zbl 1437.35356
CGO-Faddeev approach for complex conductivities with regular jumps in two dimensions. (English) Zbl 1447.35388
Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity. (English) Zbl 1439.35564
Reviewer: Giovanni S. Alberti (Genova)
On regularity of the logarithmic forward map of electrical impedance tomography. (English) Zbl 1433.35041
The method of regularized successive iterations for coupled physics conductivity imaging from a single internal data. (English) Zbl 1429.35073
An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity. (English) Zbl 07880283
Determination of thermal conductivity of inhomogeneous orthotropic materials from temperature measurements. (English) Zbl 1465.65088
Reconstruction of small inclusions in electrical impedance tomography problems. (English) Zbl 1465.35147
Problem of determining a multidimensional thermal memory in a heat conductivity equation. (English) Zbl 1449.35426
Reviewer: Anatoly N. Kochubei (Kyïv)
Optimization method in material bodies cloaking with respect to static physical fields. (English) Zbl 1437.35227
Numerical solution of a regularized weighted mean curvature flow problem for electrical conductivity imaging. (English) Zbl 1428.78037
Data-driven uncertainty quantification for predictive flow and transport modeling using support vector machines. (English) Zbl 1421.76224
A transmission problem on a polygonal partition: regularity and shape differentiability. (English) Zbl 1418.35378
Optimization method for axisymmetric problems of electric cloaking of material bodies. (English. Russian original) Zbl 1426.78037
Comput. Math. Math. Phys. 59, No. 2, 207-223 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 2, 217-234 (2019).
Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method. (English) Zbl 1524.35757
Revealing cracks inside conductive bodies by electric surface measurements. (English) Zbl 1408.74025
Recovering the historical distribution for nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional space. (English) Zbl 1402.65089
A harmonic \(B_z\)-based conductivity reconstruction method in MREIT with influence of non-transversal current density. (English) Zbl 1409.65086
Determination of space-dependent coefficients from temperature measurements using the conjugate gradient method. (English) Zbl 1407.80012
Identification of thermal conductivity coefficient using a given temperature field. (English. Russian original) Zbl 1412.80002
Comput. Math. Math. Phys. 58, No. 10, 1585-1599 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 10 (2018).
Reviewer: Aleksey Syromyasov (Saransk)
Reconstruction of isotropic conductivities from non smooth electric fields. (English) Zbl 1402.35311
Equivalent microstructure problem: mathematical formulation and numerical solution. (English) Zbl 1423.74697
Thermal conductivity for coupled charged harmonic oscillators with noise in a magnetic field. (English) Zbl 1397.37056
Reviewer: George Stoica (Saint John)
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