A fast iterative method for solving regularized parameter identification problems in elliptic boundary value problems
type: Item
instance of: scholarly article
title: A fast iterative method for solving regularized parameter identification problems in elliptic boundary value problems
zbMATH Open document ID: 0685.65079
DOI: 10.1007/BF02243805
published in: Computing
publication date: 1989-01-01T00:00:00Z
review text: The author considers the regularization method applied to the numerical identification of the diffusion coefficient a(x) within a linear two- point boundary value problem of 2nd order. For solving the corresponding regularized discrete nonlinear minimization problems the Gauss-Newton method is analyzed. The author describes an effective way for performing one iteration step which requires to solve only two tridiagonal systems of equations.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 4123209
zbMATH Keywords: fast iterative method
zbMATH Keywords: parameter identification
zbMATH Keywords: inverse problem
zbMATH Keywords: regularization method
zbMATH Keywords: discrete nonlinear minimization
zbMATH Keywords: Gauss-Newton method
author: Ulrich Tautenhahn
reviewed by: Zhanyuan Hou
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02243805
OpenAlex ID: W286783483
description: scientific article; zbMATH DE number 4123209