Some geometric inverse problems for the linear wave equation
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Publication:255995
DOI10.3934/ipi.2015.9.371zbMath1332.65140OpenAlexW2334048666MaRDI QIDQ255995
Enrique Fernández-Cara, Anna Doubova
Publication date: 9 March 2016
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2015.9.371
wave equationinverse problemsnumerical solutionreconstructionelastographyfreefem++shape identification
Optimality conditions for problems involving partial differential equations (49K20) Wave equation (35L05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in optimal control (49N45)
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Cites Work
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- On the identification of a rigid body immersed in a fluid: a numerical approach
- A geometric inverse problem for the Boussinesq system
- Some variants of the controlled random search algorithm for global optimization
- Global optimization by controlled random search
- Lipschitzian optimization without the Lipschitz constant
- Non-identifiability of the Rayleigh damping material model in magnetic resonance elastography
- Identification of Cavities in a Three-Dimensional Layer by Minimization of an Optimal Cost Functional Expansion
- Topological Sensitivity Analysis for the Location of Small Cavities in Stokes Flow
- On some inverse problems arising in elastography
- A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
- Improving ultimate convergence of an augmented Lagrangian method
- A controlled random search procedure for global optimisation
- On the inverse emergent plane crack problem
- Numerical Optimization
- Interior elastodynamics inverse problems: shear wave speed reconstruction in transient elastography
- Inverse problems in elasticity
- Detecting cavities by electrostatic boundary measurements
- New development in freefem++
- On the identification of a single body immersed in a Navier-Stokes fluid
- Identification of immersed obstacles via boundary measurements
- Inverse problems for partial differential equations
- On the detection of a moving obstacle in an ideal fluid by a boundary measurement
