A new method for inverse electromagnetic casting problems based on the topological derivative
From MaRDI portal
Publication:543779
DOI10.1016/j.jcp.2011.01.049zbMath1219.78147OpenAlexW2067092886MaRDI QIDQ543779
Antonio André Novotny, Alfredo Canelas, Jean Rodolphe Roche
Publication date: 17 June 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2011.01.049
Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Electro- and magnetostatics (78A30) Optimization problems in optics and electromagnetic theory (78M50)
Related Items
A new reconstruction method for the inverse potential problem, Topological derivatives of shape functionals. part III: second-order method and applications, Melting interfaces in induction heated bodies, On the Kohn–Vogelius formulation for solving an inverse source problem, Topological sensitivity analysis and Kohn-Vogelius formulation for detecting a rigid inclusion in an elastic body, Solution of the equilibrium problem in electromagnetic casting considering a solid inclusion in the melt, Solution to a three-dimensional axisymmetric inverse electromagnetic casting problem, Singular geometry perturbation based method for shape-topology optimization in unsteady Stokes flow, Imaging of mass distributions from partial domain measurement, Topology optimization in electromagnetic casting via quadratic programming
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The inverse electromagnetic shaping problem
- On the second order topological asymptotic expansion
- Inductor shape optimization for electromagnetic casting
- Topological optimization of structures subject to von Mises stress constraints
- Application of the topological gradient to image restoration and edge detection
- On a Kohn-Vogelius like formulation of free boundary problems
- Singular perturbations in shape optimization for the Dirichlet Laplacian
- Optimal treatment of structures
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Boundary integral equations
- Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions
- Multiphase image segmentation and modulation recovery based on shape and topological sensitivity
- Self-adjoint extensions of differential operators in application to shape optimization
- Topological sensitivity analysis for three-dimensional linear elasticity problem
- On topological derivatives for elastic solids with uncertain input data
- Étude de la déformation d'un liquide magnétique (Study of the deformation of a magnetic liquid)
- Nonlinear evolution equations in an arbitrary Banach space
- Numerical simulation of tridimensional electromagnetic shaping of liquid metals
- Topological sensitivity analysis
- Asymptotic analysis of shape functionals
- Energy change due to the appearance of cavities in elastic solids.
- Incorporating topological derivatives into level set methods.
- Newton's method in shape optimisation: A three-dimensional case
- The shape and topological optimizations' connection
- Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
- A direct impedance tomography algorithm for locating small inhomogeneities
- Reconstruction of small inhomogeneities from boundary measurements
- A new algorithm for topology optimization using a level-set method
- Self-adjoint extensions for the Neumann Laplacian and applications
- Modelling of topological derivatives for contact problems
- The Topological Asymptotic for PDE Systems: The Elasticity Case
- Topological derivative for multi-scale linear elasticity models applied to the synthesis of microstructures
- Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
- A topological asymptotic analysis for the regularized grey-level image classification problem
- On the analysis of boundary value problems in nonsmooth domains
- Determining conductivity by boundary measurements
- Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
- Un problème inverse en formage des métaux liquides
- On the Topological Derivative in Shape Optimization
- The Numerical Solution of Integral Equations of the Second Kind
- Optimality Conditions for Simultaneous Topology and Shape Optimization
- The topological asymptotic expansion for the Maxwell equations and some applications
- Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals
- A new method in inverse scattering based on the topological derivative
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
