Relaxation procedures for an iterative MFS algorithm for the stable reconstruction of elastic fields from Cauchy data in two-dimensional isotropic linear elasticity
type: Item
instance of: scholarly article
title: Relaxation procedures for an iterative MFS algorithm for the stable reconstruction of elastic fields from Cauchy data in two-dimensional isotropic linear elasticity
zbMATH Open document ID: 1203.74147
author: Liviu Marin
author: B. Tomas Johansson
published in: International Journal of Solids and Structures
publication date: 2011-01-19T00:00:00Z
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 65N80
zbMATH DE Number: 5838558
zbMATH Keywords: inverse problem
zbMATH Keywords: boundary data reconstruction
zbMATH Keywords: isotropic linear elasticity
zbMATH Keywords: iterative method of fundamental solutions (MFS)
zbMATH Keywords: relaxation procedures
zbMATH Keywords: regularization
describes a project that uses: UTV
describes a project that uses: NAG
describes a project that uses: Regularization tools
describes a project that uses: SERBA
MaRDI profile type: Publication
full work available at URL: j.ijsolstr.2010.08.021
OpenAlex ID: W2032918841
cites work: Q4530297
cites work: An energy error-based method for the resolution of the Cauchy problem in 3D linear elasticity
cites work: An optimization approach for the Cauchy problem in linear elasticity
cites work: A numerical study on the solution of the Cauchy problem in elasticity
cites work: Inverse problems in elasticity
cites work: A comparison of the boundary element and superposition methods
cites work: An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity
cites work: An iterative approach to the solution of an inverse problem in linear elasticity
cites work: Q4895893
cites work: The method of fundamental solutions for elliptic boundary value problems
cites work: The method of fundamental solutions for scattering and radiation problems.
cites work: Elasticity problems with partially overspecified boundary conditions
cites work: Q4945301
cites work: Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods
cites work: Numerical properties of integral equations in which the given boundary values and the sought solutions are defined on different curves
cites work: Q5630603
cites work: An Inverse Problem in Elasticity With Partially Overprescribed Boundary Conditions, Part I: Theoretical Approach
cites work: An iterative method for solving the Cauchy problem for elliptic equations
cites work: Iterative choices of regularization parameters in linear inverse problems
cites work: Investigation of regularization parameters and error estimating in inverse elasticity problems
cites work: A meshless method for solving the Cauchy problem in three-dimensional elastostatics
cites work: The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity
cites work: A relaxation method of an alternating iterative algorithm for the Cauchy problem in linear isotropic elasticity
cites work: Regularized boundary element solution for an inverse boundary value problem in linear elasticity
cites work: Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition
cites work: The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
cites work: Boundary element method for the Cauchy problem in linear elasticity.
cites work: Conjugate Gradient-Boundary Element Method for the Cauchy Problem in Elasticity
cites work: An iterative boundary element algorithm for a singular Cauchy problem in linear elasticity
cites work: An inverse method for finding unknown surface tractions and deformations in elastostatics
cites work: The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
cites work: Q5578503
cites work: On computing the forces from the noisy displacement data of an elastic body
cites work: Computational identification of interface delaminations in layered composites based on surface measurements
cites work: Finite element solution of two-dimensional inverse elastic problems using spatial smoothing
cites work: Q3965502
cites work: An effective algorithm for reconstructing boundary conditions in elastic solids
cites work: Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
cites work: Spatially regularized solution of inverse elasticity problems using the BEM
DOI: 10.1016/J.IJSOLSTR.2010.08.021
description: scientific article; zbMATH DE number 5838558