Shape optimization methods for detecting an unknown boundary with the Robin condition by a single boundary measurement
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Publication:6657906
DOI10.3934/dcdss.2022196MaRDI QIDQ6657906
Julius Fergy T. Rabago, Lekbir Afraites
Publication date: 7 January 2025
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
ill-posed problemRobin boundary conditionshape derivativesgeometric inverse problemadjoint methodshape optimization method
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12)
Cites Work
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- Simultaneous reconstruction of shape and impedance in corrosion detection
- A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional
- Non-linear eigenvalue problems for \(p\)-Laplacian with variable domain
- Numerical recovery of Robin boundary from boundary measurements for the Laplace equation
- Discrete gradient flows for shape optimization and applications
- Shape variation and optimization. A geometrical analysis
- Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement
- A Kohn-Vogelius formulation to detect an obstacle immersed in a fluid
- Simultaneous recovery of Robin boundary and coefficient for the Laplace equation by shape derivative
- A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem
- Detecting perfectly insulated obstacles by shape optimization techniques of order two
- Solving elliptic Cauchy problems and the identification of nonlinear corrosion
- Recovering nonlinear terms in an inverse boundary value problem for Laplace's equation: a stability estimate
- Shape and parameter reconstruction for the Robin transmission inverse problem
- Integral equations for inverse problems in corrosion detection from partial Cauchy data
- Shape optimization method for an inverse geometric source problem and stability at critical shape
- A new coupled complex boundary method (CCBM) for an inverse obstacle problem
- Stability analysis in the inverse Robin transmission problem
- Shapes and Geometries
- Recovering an obstacle and its impedance from Cauchy data
- Uniqueness for the determination of unknown boundary and impedance with the homogeneous Robin condition
- On Second Order Shape Optimization Methods for Electrical Impedance Tomography
- Identifiability problems of defects with the Robin condition
- Relaxation of a variational method for impedance computed tomography
- Differentiation with Respect to the Domain in Boundary Value Problems
- An inverse problem in corrosion detection
- Stable determination of corrosion by a single electrostatic boundary measurement
- Corrosion detection in conducting boundaries
- Method for imaging corrosion damage in thin plates from electrostatic data
- New development in freefem++
- Integral equations for shape and impedance reconstruction in corrosion detection
- Identification of Robin coefficients by the means of boundary measurements
- A novel coupled complex boundary method for solving inverse source problems
- Fast Algorithms for Boundary Integral Equations on Elliptic Domains and Related Inverse Problems
- Coupled complex boundary method for a geometric inverse source problem
- Shape Methods for the Transmission Problem with a Single Measurement
- Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions
- Nonlinear integral equations and the iterative solution for an inverse boundary value problem
- Inverse acoustic and electromagnetic scattering theory
- Sobolev gradients and differential equations
- On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems
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