Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction
From MaRDI portal
Publication:4583664
DOI10.1137/17M1151481zbMath1395.35224arXiv1710.02749OpenAlexW2963359737MaRDI QIDQ4583664
Lauri Oksanen, Paul Kepley, Maarten V. de Hoop
Publication date: 3 September 2018
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.02749
Related Items (16)
Regularization of the boundary control method for numerical solutions of the inverse problem for an acoustic wave equation ⋮ A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation ⋮ Linearized boundary control method for an acoustic inverse boundary value problem ⋮ Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data ⋮ Uniqueness, reconstruction and stability for an inverse problem of a semi-linear wave equation ⋮ Gelfand's inverse problem for the graph Laplacian ⋮ Inverse Problems for Discrete Heat Equations and Random Walks for a Class of Graphs ⋮ Convexification for an inverse parabolic problem ⋮ Convexification for an inverse problem for a 1D wave equation with experimental data ⋮ Simplest test for the three-dimensional dynamical inverse problem (the BC-Method) ⋮ Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source ⋮ Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain ⋮ Reconstruction of piecewise smooth wave speeds using multiple scattering ⋮ Simplest test for the two-dimensional dynamical inverse problem (BC-Method) ⋮ A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem ⋮ Deep learning architectures for nonlinear operator functions and nonlinear inverse problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical testing in determination of sound speed from a part of boundary by the BC-method
- Numerical recovering of a density by the BC-method
- Solving an inverse problem for the wave equation by using a minimization algorithm and time-reversed measurements
- Iterative time-reversal control for inverse problems
- Stability of boundary distance representation and reconstruction of Riemannian manifolds
- Convergence of generalized inverses and spline projectors
- Inverse problems for general second order hyperbolic equations with time-dependent coefficients
- Photoacoustic and thermoacoustic tomography with an uncertain wave speed
- On the Construction of Virtual Interior Point Source Travel Time Distances from the Hyperbolic Neumann-to-Dirichlet Map
- Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
- An Exact Redatuming Procedure for the Inverse Boundary Value Problem for the Wave Equation
- A Lipschitz stable reconstruction formula for the inverse problem for the wave equation
- The seismic reflection inverse problem
- Dynamical variant of the BC-method: theory and numerical testing
- Boundary control in reconstruction of manifolds and metrics (the BC method)
- How to see waves under the Earth surface (the BC-method for geophysicists)
- Globally Strictly Convex Cost Functional for a 1-D Inverse Medium Scattering Problem with Experimental Data
- Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
- Solving an inverse obstacle problem for the wave equation by using the boundary control method
- Convergent Algorithm Based on Carleman Estimates for the Recovery of a Potential in the Wave Equation
- Reconstruction of a Conformally Euclidean Metric from Local Boundary Diffraction Travel Times
- A Globally Convergent Numerical Method for a Coefficient Inverse Problem
- An inverse kinematic problem with internal sources
- Recovering Dielectric Constants of Explosives via a Globally Strictly Convex Cost Functional
- Hybrid inverse problems and internal functionals
- Recent progress in the boundary control method
- An introduction to the mathematical theory of inverse problems
- Stability of the unique continuation for the wave operator via Tataru inequality and applications
This page was built for publication: Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction
