Shape reconstruction for advection-diffusion problems by shape optimization techniques: the case of constant velocity

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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Shape identification for convection-diffusion problem based on the continuous adjoint method
A shape optimization formulation of weld pool determination
A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional
Discrete gradient flows for shape optimization and applications
Inverse acoustic and electromagnetic scattering theory.
Shape variation and optimization. A geometrical analysis
Shape reconstruction for unsteady advection-diffusion problems by domain derivative method
Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement
Pollution sources reconstruction based on the topological derivative method
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
Inverse scattering for shape and impedance
An efficient numerical method for a shape-identification problem arising from the heat equation
Shapes and Geometries
Differentiation with Respect to the Domain in Boundary Value Problems
On the numerical solution of an inverse boundary value problem for the heat equation
The Landweber iteration applied to inverse conductive scattering problems
The determination of a discontinuity in a conductivity from a single boundary measurement
An inverse boundary value problem for the heat equation: the Neumann condition
On the Numerical Solution of a Shape Optimization Problem for the Heat Equation
New development in freefem++
Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions
Sobolev gradients and differential equations
Shape optimization methods for detecting an unknown boundary with the Robin condition by a single boundary measurement