An iterative method for the reconstruction of a stationary flow

Tomas Johansson, Daniel Lesnic

Research output: Contribution to journalArticle

Abstract

In this article, an iterative algorithm based on the Landweber-Fridman method in combination with the boundary element method is developed for solving a Cauchy problem in linear hydrostatics Stokes flow of a slow viscous fluid. This is an iteration scheme where mixed well-posed problems for the stationary generalized Stokes system and its adjoint are solved in an alternating way. A convergence proof of this procedure is included and an efficient stopping criterion is employed. The numerical results confirm that the iterative method produces a convergent and stable numerical solution. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2007
Original languageEnglish
Pages (from-to)998-1017
Number of pages20
JournalNumerical Methods for Partial Differential Equations
Volume23
Issue number5
Early online date8 Jan 2007
DOIs
Publication statusPublished - Jul 2007

Keywords

  • boundary element method
  • Cauchy problem
  • inverse problem
  • regularization
  • Stokes flow

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