A Bayesian level set method for the shape reconstruction of inverse scattering problems in elasticity
type: Item
instance of: scholarly article
title: A Bayesian level set method for the shape reconstruction of inverse scattering problems in elasticity
author: Yanyan Li
publication date: 2021-08-20T00:00:00Z
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78A46
zbMATH DE Number: 7384050
zbMATH Keywords: inverse elastic scattering problems
zbMATH Keywords: Bayesian level set method
zbMATH Keywords: Markov chain Monte Carlo (MCMC) method
zbMATH Keywords: Whittle-Matérn Gaussian random fields
MaRDI profile type: Publication
full work available at URL: j.camwa.2021.05.024
OpenAlex ID: W3192954952
cites work: Inverse acoustic and electromagnetic scattering theory.
cites work: Numerical solution of an inverse medium scattering problem for Maxwell's equations at fixed frequency
cites work: Inverse medium scattering for the Helmholtz equation at fixed frequency
cites work: A direct sampling method for inverse electromagnetic medium scattering
cites work: Mathematical Methods in Elasticity Imaging
cites work: Inverse problems in elasticity
cites work: Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
cites work: Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements
cites work: Inversion Formulas for the Linearized Problem for an Inverse Boundary Value Problem in Elastic Prospection
cites work: Inverse Problems at the Boundary for an Elastic Medium
cites work: Multifrequency Iterative Methods for the Inverse Medium Scattering Problems in Elasticity
cites work: Recent progress on the study of direct and inverse elastic\\ scattering problems
cites work: Deblurring Images
cites work: Well-posed Bayesian geometric inverse problems arising in subsurface flow
cites work: Level set methods for inverse scattering
cites work: Level set methods for inverse scattering—some recent developments
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: A level-set approach for inverse problems involving obstacles Fadil SANTOSA
cites work: A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
cites work: Levenberg–Marquardt level set methods for inverse obstacle problems
cites work: Level-set function approach to an inverse interface problem
cites work: Level set methods for geometric inverse problems in linear elasticity
cites work: Nonstationary inverse problems and state estimation
cites work: Inverse problems: a Bayesian perspective
cites work: An inverse medium problem using Stekloff eigenvalues and a Bayesian approach
cites work: Extended-Sampling-Bayesian Method for Limited Aperture Inverse Scattering Problems
cites work: A Bayesian method for an inverse transmission scattering problem in acoustics
cites work: A variational Bayesian method to inverse problems with impulsive noise
cites work: Hierarchical Bayesian inference for ill-posed problems via variational method
cites work: Complexity analysis of accelerated MCMC methods for Bayesian inversion
cites work: A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems, Part II: Stochastic Newton MCMC with Application to Ice Sheet Flow Inverse Problems
cites work: Dimension-independent likelihood-informed MCMC
cites work: MCMC methods for functions: modifying old algorithms to make them faster
cites work: A Bayesian level set method for geometric inverse problems
cites work: Hierarchical Bayesian level set inversion
cites work: A Bayesian level set method for an inverse medium scattering problem in acoustics
cites work: An Ensemble Kalman Filter Approach Based on Level Set Parameterization for Acoustic Source Identification Using Multiple Frequency Information
cites work: Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography
cites work: The Bayesian formulation of EIT: analysis and algorithms
cites work: Parameterizations for ensemble Kalman inversion
cites work: Direct and inverse elastic scattering from anisotropic media
cites work: Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis
DOI: 10.1016/J.CAMWA.2021.05.024
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7384050