Discrete Calderón problem with partial data
DOI10.1088/1361-6420/acb0f8OpenAlexW4313611815MaRDI QIDQ5872370
Rodrigo Lecaros, Luz de Teresa, Ariel Pérez, Jaime H. Ortega
Publication date: 27 January 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/acb0f8
finite differencesstability estimatepartial dataCalderón problemlogarithmic stability estimatediscrete inverse problemdiscrete Carleman estimates
Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items (1)
Cites Work
- Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations
- On three balls theorem for discrete harmonic functions
- A global uniqueness theorem for an inverse boundary value problem
- Uniform controllability properties for space/time-discretized parabolic equations
- Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice
- On uniqueness in the inverse conductivity problem with local data
- Controllability of an elliptic equation and its finite difference approximation by the shape of the domain
- Carleman estimates and controllability for a semi-discrete fourth-order parabolic equation
- Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations
- Insensitizing controls for a semilinear parabolic equation: a numerical approach
- Stability of an inverse problem for the discrete wave equation and convergence results
- 30 years of Calderón's problem
- Carleman estimates for semi-discrete parabolic operators with a discontinuous diffusion coefficient and applications to controllability
- The Calderón problem with partial data
- Determining nonsmooth first order terms from partial boundary measurements
- Discrete Carleman estimates and three balls inequalities
- Discrete inverse problems for the Schrödinger operator on the multi-dimensional square lattice with partial Cauchy data
- Optimal stability estimate of the inverse boundary value problem by partial measurements
- Discrete Carleman Estimates for Elliptic Operators in Arbitrary Dimension and Applications
- Uniform stability estimates for the discrete Calderón problems
- Stability estimates for the inverse boundary value problem by partial Cauchy data
- Recent progress in the Calderon problem with partial data
- The Calderón problem with partial data in two dimensions
- Electrical impedance tomography and Calderón's problem
- RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA
- Stable determination of conductivity by boundary measurements
- Convergence of an Inverse Problem for a 1-D Discrete Wave Equation
- Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation
- Carleman estimates for time-discrete parabolic equations and applications to controllability
- Recovering a potential from Cauchy data in the two-dimensional case
This page was built for publication: Discrete Calderón problem with partial data