Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation
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Publication:6057271
DOI10.1137/23m1565449zbMath1526.35319arXiv2212.12593OpenAlexW4386251050MaRDI QIDQ6057271
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Publication date: 25 October 2023
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.12593
global convergenceRiemannian metricconvexificationgeodesic linesCarleman estimatecoefficient inverse problemnumerical studies
Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
- Unnamed Item
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- Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs
- Numerical solution of an inverse problem of coefficient recovering for a wave equation by a stochastic projection methods
- Fast Toeplitz linear system inversion for solving two-dimensional acoustic inverse problem
- Global optimization methods for multimodal inverse problems
- Generalized stability estimates in inverse transport theory
- An inverse problem for the transport equation in the presence of a Riemannian metric
- A stabilized \(P1\) domain decomposition finite element method for time harmonic Maxwell's equations
- An adaptive finite element method for solving 3D electromagnetic volume integral equation with applications in microwave thermometry
- A method of solving the coefficient inverse problems of wave tomography
- Determining a random Schrödinger operator: both potential and source are random
- Inverse problems and Carleman estimates. Global uniqueness, global convergence and experimental data
- Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak
- Convexification of restricted Dirichlet-to-Neumann map
- Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Iterative methods for solving coefficient inverse problems of wave tomography in models with attenuation
- Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source
- Inversion of weighted Radon transforms via finite Fourier series weight approximations
- Exact Controllability for the Time Dependent Transport Equation
- Inverse transport theory and applications
- Carleman estimates for parabolic equations and applications
- Inverse problems and Carleman estimates
- Uniform Strict Convexity of a Cost Functional for Three-Dimensional Inverse Scattering Problem
- Global Convexity in a Three-Dimensional Inverse Acoustic Problem
- Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
- Application of the Inhomogeneous Lippmann--Schwinger Equation to Inverse Scattering Problems
- Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions
- Numerical Reconstruction of Radiative Sources in an Absorbing and Nondiffusing Scattering Medium in Two Dimensions
- Parameter Reconstruction for General Transport Equation
- Principles of Optics
- A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium
- On an Inverse Source Problem for the Full Radiative Transfer Equation with Incomplete Data
- Monochromatic Reconstruction Algorithms for Two-dimensional Multi-channel Inverse Problems
- Inverse Source Problems in Transport Equations
- Stability for Some Inverse Problems for Transport Equations
- Stability in inverse problem of an elastic plate with a curved middle surface
- Inverse problems for partial differential equations
- A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc
- Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation
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