Carleman-Based Reconstruction Algorithm for Waves
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Publication:4986819
DOI10.1137/20M1315798zbMath1461.93213OpenAlexW3003905800MaRDI QIDQ4986819
Maya de Buhan, Lucie Baudouin, Sylvain Ervedoza, Axel Osses
Publication date: 28 April 2021
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1315798
Control/observation systems governed by partial differential equations (93C20) Inverse problems for PDEs (35R30) Wave equation (35L05)
Related Items (10)
A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation ⋮ Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data ⋮ The Carleman contraction mapping method for quasilinear elliptic equations with over-determined boundary data ⋮ Inverse problems of damped wave equations with Robin boundary conditions: an application to blood perfusion ⋮ Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data ⋮ A Hölder stability estimate for a 3D coefficient inverse problem for a hyperbolic equation with a plane wave ⋮ An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data ⋮ Convexification numerical algorithm for a 2D inverse scattering problem with backscatter data ⋮ The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations ⋮ Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations
Cites Work
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- Globally strongly convex cost functional for a coefficient inverse problem
- Non homogeneous boundary value problems for second order hyperbolic operators
- Uniqueness and stability in multidimensional hyperbolic inverse problems
- Carleman estimates for coefficient inverse problems and numerical applications.
- Stability of an inverse problem for the discrete wave equation and convergence results
- Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation
- Observability estimates for the wave equation with rough coefficients
- Global Lipschitz stability in an inverse hyperbolic problem by interior observations
- GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- Global Carleman Estimates for Waves and Applications
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Recovery of a source term or a speed with one measurement and applications
- Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
- Generic well-posedness in a multidimensional hyperbolic inverse problem
- Inverse problems and Carleman estimates
- Global Convexity in a Three-Dimensional Inverse Acoustic Problem
- Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data
- Determination of a coefficient in an acoustic equation with a single measurement
- Convergence of an Inverse Problem for a 1-D Discrete Wave Equation
- Convergent Algorithm Based on Carleman Estimates for the Recovery of a Potential in the Wave Equation
- Convexification for an inverse parabolic problem
- Convexification for the Inversion of a Time Dependent Wave Front in a Heterogeneous Medium
- On an Inverse Source Problem for the Full Radiative Transfer Equation with Incomplete Data
- Lipschitz stability of an inverse problem for an acoustic equation
- On a global estimate in a linear inverse hyperbolic problem
- Inverse problems for partial differential equations
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