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 language | English |
|---|---|
| Pages (from-to) | 998-1017 |
| Number of pages | 20 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 23 |
| Issue number | 5 |
| Early online date | 8 Jan 2007 |
| DOIs | |
| Publication status | Published - Jul 2007 |
Keywords
- boundary element method
- Cauchy problem
- inverse problem
- regularization
- Stokes flow