Convexification for an inverse problem for a 1D wave equation with experimental data
DOI10.1088/1361-6420/abac9azbMath1452.65214arXiv2004.04839OpenAlexW3047221057MaRDI QIDQ5123703
No author found.
Publication date: 29 September 2020
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.04839
numerical resultsconvexificationexperimental dataCarleman estimatecoefficient inverse problemglobally convergent numerical method1D hyperbolic equation with a variable coefficient
Numerical optimization and variational techniques (65K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Second-order hyperbolic equations (35L10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Optimization problems in optics and electromagnetic theory (78M50) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Related Items (4)
Cites Work
- Unnamed Item
- Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs
- A globally convergent numerical method for a 1-d inverse medium problem with experimental data
- Global optimization methods for multimodal inverse problems
- Carleman estimates for coefficient inverse problems and numerical applications.
- Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data
- A method of solving the coefficient inverse problems of wave tomography
- The Krein method and the globally convergent method for experimental data
- Globally strictly convex cost functional for an inverse parabolic problem
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
- Blind backscattering experimental data collected in the field and an approximately globally convergent inverse algorithm
- Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed
- Absorbing boundary conditions for numerical simulation of waves
- Uniform Strict Convexity of a Cost Functional for Three-Dimensional Inverse Scattering Problem
- Global Convexity in a Three-Dimensional Inverse Acoustic Problem
- Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction
- Globally Strictly Convex Cost Functional for a 1-D Inverse Medium Scattering Problem with Experimental Data
- Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
- Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data
- Elementary Numerical Analysis
- A new version of the convexification method for a 1D coefficient inverse problem with experimental data
- Convergent Algorithm Based on Carleman Estimates for the Recovery of a Potential in the Wave Equation
- Simultaneous reconstruction of permittivity and conductivity
- Convexification for the Inversion of a Time Dependent Wave Front in a Heterogeneous Medium
This page was built for publication: Convexification for an inverse problem for a 1D wave equation with experimental data
