## Abstract This paper deals with the solution of a non‐linear ill‐conditioned inverse problem arising in digital image registration. In the first part of the paper, we define the problem as the minimization of a regularized non‐linear least‐squares functional, which measures the image difference a
Advanced multigrid methods for systems of PDEs
✍ Scribed by Panayot S. Vassilevski; Ludmil T. Zikatanov
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 30 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1070-5325
- DOI
- 10.1002/nla.557
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract The symmetric Sinc–Galerkin method developed by Lund (Math. Comput. 1986; **47**:571–588), when applied to second‐order self‐adjoint boundary value problems on __d__ dimensional rectangular domains, gives rise to an __N__ × __N__ positive definite coefficient matrix which can be viewed
V -cycle, F -cycle and W -cycle multigrid algorithms for interior penalty methods for second order elliptic boundary value problems are studied in this paper. It is shown that these algorithms converge uniformly with respect to all grid levels if the number of smoothing steps is sufficiently large,
## Abstract This article formulates an additive Cousin type problem for systems of partial differential equations. The obstruction to the solution of this problem, like the obstruction in the classical Cousin problem, lies in a first cohomology module, viz. in an Ext^1^ module associated to the pro
Parallel preconditioners are considered for improving the convergence rate of the conjugate gradient method for solving sparse symmetric positive definite systems generated by finite element models of subsurface flow. The difficulties of adapting effective sequential preconditioners to the parallel