Detection of scatterers using an XFEM-BEM level set solver based on the topological derivative
DOI10.1088/1361-6420/ad0e26zbMath1530.65148OpenAlexW4388817058MaRDI QIDQ6141554
Unnamed Author, Alfredo Canelas, Jean Rodolphe Roche
Publication date: 20 December 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/ad0e26
Approximation methods and heuristics in mathematical programming (90C59) Linear elasticity with initial stresses (74B10) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05) Inverse problems in equilibrium solid mechanics (74G75) Optimization of other properties in solid mechanics (74P10) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stress-related topology optimization of continuum structures involving multi-phase materials
- Linear and nonlinear programming.
- Robust smoothing of gridded data in one and higher dimensions with missing values
- Electromagnetic scattering by small dielectric inhomogeneities.
- A computational approach to handle complex microstructure geometries.
- Multiple crack detection in 3D using a stable XFEM and global optimization
- Shape variation and optimization. A geometrical analysis
- Applications of the topological derivative method
- Topological derivatives in shape optimization
- Topological imaging methods for the iterative detection of multiple impedance obstacles
- Dynamic XFEM-based detection of multiple flaws using an improved artificial bee colony algorithm
- Detection of multiple complicated flaw clusters by dynamic variable-node XFEM with a three-step detection algorithm
- FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
- Identification of a scatterer embedded in elastic heterogeneous media using dynamic XFEM
- Mixed boundary integral methods for Helmholtz transmission problems
- A new algorithm for topology optimization using a level-set method
- Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
- The Shapes of Things
- Topological Derivatives for Shape Reconstruction
- Solving inhomogeneous inverse problems by topological derivative methods
- Computing geodesic paths on manifolds
- The numerical solution of an inverse scattering problem for acoustic waves
- Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set
- A Newton-type method for a transmission problem in inverse scattering
- Recovery of Small Inhomogeneities from the Scattering Amplitude at a Fixed Frequency
- Topology optimization with implicit functions and regularization
- Recent Developments in Inverse Acoustic Scattering Theory
- Frechet derivatives in inverse obstacle scattering
- A finite element method for crack growth without remeshing
- On the solution of direct and inverse multiple scattering problems for mixed sound-soft, sound-hard and penetrable objects
- A new method in inverse scattering based on the topological derivative
- An iterative method for parameter identification and shape reconstruction
- Inverse acoustic and electromagnetic scattering theory
- Modeling holes and inclusions by level sets in the extended finite element method
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