Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation
type: Item
instance of: scholarly article
title: Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation
zbMATH Open document ID: 1368.65215
author: Yanyan Li
publication date: 2017-08-09T00:00:00Z
Mathematics Subject Classification ID: 65N20
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35R25
zbMATH DE Number: 6758851
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Cauchy problem
zbMATH Keywords: adjoint method
zbMATH Keywords: inverse problem
zbMATH Keywords: ill-posed problem
zbMATH Keywords: Tikhonov regularization
describes a project that uses: Regularization tools
describes a project that uses: UTV
MaRDI profile type: Publication
full work available at URL: j.camwa.2016.11.004
OpenAlex ID: W2559021634
cites work: The detection of the source of acoustical noise in two dimensions
cites work: The detection of surface vibrations from interior acoustical pressure
cites work: Variational methods for underwater acoustic problems
cites work: Approximate solution of a Cauchy problem for the Helmholtz equation
cites work: Contrast-enhanced microwave imaging of breast tumors: a computational study using 3D realistic numerical phantoms
cites work: A regularization method for solving the Cauchy problem for the Helmholtz equation
cites work: An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
cites work: A potential function method for the Cauchy problem of elliptic operators
cites work: Modified Tikhonov regularization method for the Cauchy problem of the Helmholtz equation
cites work: Two regularization methods for the Cauchy problems of the Helmholtz equation
cites work: An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains
cites work: Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations
cites work: Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
cites work: An iterative procedure for solving a Cauchy problem for second order elliptic equations
cites work: An alternating iterative procedure for the Cauchy problem for the Helmholtz equation
cites work: An accelerated alternating procedure for the Cauchy problem for the Helmholtz equation
cites work: An iterative method for solving the Cauchy problem for elliptic equations
cites work: Q3358177
cites work: Q4895893
cites work: A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
cites work: Q5515676
cites work: Q5578503
cites work: Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
cites work: Rank-Deficient and Discrete Ill-Posed Problems
cites work: Parallel iterative methods for sparse linear systems
cites work: Corrigendum
DOI: 10.1016/J.CAMWA.2016.11.004
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6758851