An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation
type: Item
instance of: scholarly article
title: An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation
zbMATH Open document ID: 1398.65278
author: Liviu Marin
published in: Computational Mechanics
publication date: 2010-04-20T00:00:00Z
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 65M30
zbMATH DE Number: 5695480
zbMATH Keywords: modified Helmholtz equation
zbMATH Keywords: inverse problem
zbMATH Keywords: Cauchy problem
zbMATH Keywords: iterative method of fundamental solutions (MFS)
zbMATH Keywords: regularization
describes a project that uses: UTV
describes a project that uses: NAG
describes a project that uses: Regularization tools
MaRDI profile type: Publication
full work available at URL: s00466-010-0480-6
OpenAlex ID: W2066270882
cites work: A comparison of the boundary element and superposition methods
cites work: Q4881818
cites work: The method of fundamental solutions for inverse 2D Stokes problems
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: A method of fundamental solutions for inverse heat conduction problems in an anisotropic medium
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: 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: Q3841359
cites work: Numerical properties of integral equations in which the given boundary values and the sought solutions are defined on different curves
cites work: A fundamental solution method for inverse heat conduction problem
cites work: The plane wave method for inverse problems associated with Helmholtz-type equations
cites work: Boundary knot method for some inverse problems associated with the Helmholtz equation
cites work: Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation
cites work: A meshless method for some inverse problems associated with the Helmholtz equation
cites work: Boundary control for inverse Cauchy problems of the Laplace equations
cites work: Q5628582
cites work: A meshless method for solving the Cauchy problem in three-dimensional elastostatics
cites work: Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
cites work: A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations
cites work: Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations
cites work: An iterative MFS algorithm for the Cauchy problem associated with the Laplace equation
cites work: The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
cites work: The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
cites work: An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
cites work: Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
cites work: Comparison of regularization methods for solving the Cauchy problem associated with the Helmholtz equation
cites work: BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method
cites work: The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
cites work: Q5578503
cites work: Modified regularization method for the Cauchy problem of the Helmholtz equation
cites work: Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation
cites work: Two regularization methods for the Cauchy problems of the Helmholtz equation
cites work: Tikhonov type regularization method for the Cauchy problem of the modified Helmholtz equation
cites work: Modified Tikhonov regularization method for the Cauchy problem of the Helmholtz equation
cites work: A Fourth-Order Modified Method for the Cauchy Problem of the Modified Helmholtz Equation
cites work: Method of fundamental solutions with optimal regularization techniques for the Cauchy problem of the Laplace equation with singular points
cites work: Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
cites work: An inverse boundary problem for one-dimensional heat equation with a multilayer domain
cites work: Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
cites work: Numerical solution of an inverse 2D Cauchy problem connected with the Helmholtz equation
cites work: Two approximate methods of a Cauchy problem for the Helmholtz equation
cites work: The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation
DOI: 10.1007/S00466-010-0480-6
description: scientific article; zbMATH DE number 5695480