A multilevel Newton-Krylov interface solver for multiphysics couplings of flow in porous media

Authors
Citation
I. Yotov, A multilevel Newton-Krylov interface solver for multiphysics couplings of flow in porous media, NUM LIN ALG, 8(8), 2001, pp. 551-570
Citations number
37
Categorie Soggetti
Mathematics
Journal title
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN journal
10705325 → ACNP
Volume
8
Issue
8
Year of publication
2001
Pages
551 - 570
Database
ISI
SICI code
1070-5325(200112)8:8<551:AMNISF>2.0.ZU;2-X
Abstract
A multiblock approach to modelling flow in porous media allows for coupling different physical and numerical models in a single simulation through the use of mortar finite elements. The resulting non-linear algebraic system i s reduced to a non-linear interface problem which is solved by a Rill appro ximation scheme (FAS) multigrid with a Newton-GMRES smoother. Copyright (C) 2001 John Wiley & Sons, Ltd.