On an inverse boundary value problem
From MaRDI portal
Publication:2379194
zbMath1182.35230MaRDI QIDQ2379194
Publication date: 19 March 2010
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.scielo.br/scielo.php?script=sci_abstract&pid=S1807-03022006000200002&lng=en&nrm=iso&tlng=en
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30)
Related Items
On some partial data Calderón type problems with mixed boundary conditions, A stochastic simulation method for uncertainty quantification in the linearized inverse conductivity problem, Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming, Propagation and recovery of singularities in the inverse conductivity problem, Local uniqueness for an inverse boundary value problem with partial data, GLOBAL UNIQUENESS FOR THE CALDERÓN PROBLEM WITH LIPSCHITZ CONDUCTIVITIES, Determining the first order perturbation of a polyharmonic operator on admissible manifolds, Shape Reconstruction of Conductivity Interface Problems, The Calderón problem in transversally anisotropic geometries, Investigation of a non-iterative technique based on topological derivatives for fast localization of small conductivity inclusions, Mumford–Shah regularization in electrical impedance tomography with complete electrode model, Depth dependent resolution in electrical impedance tomography, Superconductive and insulating inclusions for linear and non-linear conductivity equations, EIT in a layered anisotropic medium, Semilinear elliptic problems with combined nonlinearities on the boundary, Lipschitz stability at the boundary for time-harmonic diffuse optical tomography, Detecting anisotropic inclusions through EIT, Positive Jacobian constraints for elliptic boundary value problems with piecewise-regular coefficients arising from multi-wave inverse problems, Topological derivatives of shape functionals. part III: second-order method and applications, The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization, Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements, A path integral Monte Carlo (PIMC) method based on Feynman-Kac formula for electrical impedance tomography, Existence of infinitely many solutions of nonlinear Steklov-Neumann problem, Shape optimizationviaa levelset and a Gauss-Newton method, Enhancing residual-based techniques with shape reconstruction features in electrical impedance tomography, The enclosure method for semilinear elliptic equations with power-type nonlinearities, Series representations for generalized harmonic functions in the case of three parameters, The Calderón problem with corrupted data, The p–Laplace “Signature” for Quasilinear Inverse Problems with Large Boundary Data, Uniqueness in Calderón's problem with Lipschitz conductivities, Inverse problem for a nonlocal diffuse optical tomography equation, Stability and Reconstruction of a Special Type of Anisotropic Conductivity in Magneto-Acoustic Tomography with Magnetic Induction, Stable determination of a second order perturbation of the polyharmonic operator by boundary measurements, Determining an anisotropic conductivity by boundary measurements: stability at the boundary, Low regularity theory for the inverse fractional conductivity problem, Tiling by rectangles and alternating current, The Calderón problem for variable coefficients nonlocal elliptic operators, Characterization for stability in planar conductivities, Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement, Dimensionality reduction in thermal tomography, Monotonicity and Enclosure Methods for the $p$-Laplace Equation, Refined instability estimates for some inverse problems, Time-harmonic diffuse optical tomography: Hölder stability of the derivatives of the optical properties of a medium at the boundary, Calderón's problem for some classes of conductivities in circularly symmetric domains, A Regularization Scheme for 2D Conductivity Imaging by the D-Bar Method, The Observational Limit of Wave Packets with Noisy Measurements, Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes, Solving electrical impedance tomography with deep learning, A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón’s method in the plane, Relaxed Gauss--Newton Methods with Applications to Electrical Impedance Tomography, Inverse spectral problems on a closed manifold, Determining a first order perturbation of the biharmonic operator by partial boundary measurements, An introduction to finite element methods for inverse coefficient problems in elliptic PDEs, Convergence study of 2D forward problem of electrical impedance tomography with high-order finite elements, Solving the inverse conductivity problems of nonlinear elliptic equations by the superposition of homogenization functions method, A series expansion for generalized harmonic functions, Uniqueness in Calderón's problem for conductivities with unbounded gradient, Unnamed Item, An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations, D-Bar Method for Smooth and Nonsmooth Conductivities, Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities, Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem, A fixed mesh method with immersed finite elements for solving interface inverse problems, An inverse problem for a hyperbolic system on a vector bundle and energy measurements, \(hp\)-finite element discretisation of the electrical impedance tomography problem, Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity, Recovering a variable exponent, Semiclassical limit of an inverse problem for the Schrödinger equation, Uniqueness in the Calderón problem and bilinear restriction estimates, On Single Measurement Stability for the Fractional Calderón Problem, Linearizing non-linear inverse problems and an application to inverse backscattering, Variable exponent Calderón's problem in one dimension, The Local Calderòn Problem and the Determination at the Boundary of the Conductivity, Green's analysis of conducting lattices, A new regularization of the D-bar method with complex conductivity, Monotonicity and local uniqueness for the Helmholtz equation, The Born approximation in the three-dimensional Calderón problem, Approximation of the conductivity coefficient in the heat equation, On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement, Inverse boundary value problems for the perturbed polyharmonic operator, Benchmark computations for the polarization tensor characterization of small conducting objects, Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners
