Level-set function approach to an inverse interface problem
From MaRDI portal
Publication:2764797
DOI10.1088/0266-5611/17/5/301zbMath0986.35130OpenAlexW1983053523MaRDI QIDQ2764797
Kazufumi Ito, Zhilin Li, Karl Kunisch
Publication date: 16 June 2002
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.4/620
level set methodimmersed interface methodelectrical impedance tomographyshape derivativesdata in a narrow strip along the boundaryunknown shapes
Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10)
Related Items
An ADI-Yee's scheme for Maxwell's equations with discontinuous coefficients, Imaging of location and geometry for extended targets using the response matrix, Crack reconstruction using a level-set strategy, A parametric level set based collage method for an inverse problem in elliptic partial differential equations, A source term method for Poisson problems on irregular domains, Shape Methods for the Transmission Problem with a Single Measurement, A novel model for biofilm growth and its resolution by using the hybrid immersed interface-level set method, Nonlinear magnetoquasistatic interface problem in a permanent-magnet machine with stochastic partial differential equation constraints, Shape Optimization of an Electric Motor Subject to Nonlinear Magnetostatics, A regularization method based on level sets and augmented Lagrangian for parameter identification problems with piecewise constant solutions, A meshless improved boundary distributed source method for two-phase flow monitoring using electrical resistance tomography, Identification of Voids in Structures Based on Level Set Method and FEM, A Mumford-Shah level-set approach for the inversion and segmentation of X-ray tomography data, A modified algorithm based on Haar wavelets for the numerical simulation of interface models, Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities, Reservoir description using a binary level set model, A level-set corrector to an adaptive multiscale permeability prediction, An energy gap functional: cavity identification in linear elasticity, A piecewise constant level set method for elliptic inverse problems, Level set method for the inverse elliptic problem in nonlinear electromagnetism, Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena, Unfitted finite element for optimal control problem of the temperature in composite media with contact resistance, An $L^{\infty}$ Second Order Cartesian Method for 3D Anisotropic Interface Problems, A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements, A stable extended FEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers, Reconstructing the geometric configuration of three dimensional interface using electrical capacitance tomography, A convex analysis approach to multi-material topology optimization, Recovery of multiple parameters in subdiffusion from one lateral boundary measurement, Convex backscattering support in electric impedance tomography, Numerical reconstruction of a discontinuous diffusive coefficient in variable-order time-fractional subdiffusion, Detecting damage in thin plates by processing infrared thermographic data with topological derivatives, Identification of uncertainties in the shape of geophysical objects with level sets and the adjoint method, Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem, Efficient rearrangement algorithms for shape optimization on elliptic eigenvalue problems, Sparsity and level set regularization for diffuse optical tomography using a transport model in 2D, Identification of contact regions in semiconductor transistors by level-set methods, Electrical resistance tomography for locating inclusions using analytical boundary element integrals and their partial derivatives, Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients., An FE-FD Method for Anisotropic Elliptic Interface Problems, Incorporating topological derivatives into level set methods., Recovering elastic inclusions by shape optimization methods with immersed finite elements, On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient, How to obtain an accurate gradient for interface problems?, Topological optimality condition for the identification of the center of an inhomogeneity, A symmetric and consistent immersed finite element method for interface problems, Pollution sources reconstruction based on the topological derivative method, Inverse scattering by a continuation method with initial guesses from a direct imaging algorithm, A FEM‐BEM approach using level‐sets in electrical capacitance tomography, A Bayesian level set method for an inverse medium scattering problem in acoustics, Conductivity interface problems. Part I: Small perturbations of an interface, An approach based on level set method for void identification of continuum structure with time-domain dynamic response, A fixed mesh method with immersed finite elements for solving interface inverse problems, Interface conditions for Stokes equations with a discontinuous viscosity and surface sources, Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain., Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data, Noniterative Reconstruction Method for an Inverse Potential Problem Modeled by a Modified Helmholtz Equation, Electrical impedance tomography using level set representation and total variational regularization, Level Set Methods for Structural Inversion and Image Reconstruction, Multi-phase permittivity reconstruction in electrical capacitance tomography by level-set methods, Numerical treatment of the Mumford–Shah model for the inversion and segmentation of X-ray tomography data, Sparsity and level set regularization for near-field electromagnetic imaging in 3D, A Bayesian level set method for the shape reconstruction of inverse scattering problems in elasticity, Numerical solution to the interface problem in a general domain using Moser's deformation method, A MODIFIED IMMERSED FINITE VOLUME ELEMENT METHOD FOR ELLIPTIC INTERFACE PROBLEMS, Numerical solutions for Helmholtz equation with stochastic interface based on PML method, RECONSTRUCTION OF SINGULAR SURFACES BY SHAPE SENSITIVITY ANALYSIS AND LEVEL SET METHOD, Hybrid topological derivative-gradient based methods for nondestructive testing, Inverse thermal imaging in materials with nonlinear conductivity by material and shape derivative method, High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging, Construct Deep Neural Networks based on Direct Sampling Methods for Solving Electrical Impedance Tomography, Three-dimensional elliptic solvers for interface problems and applications