AuthorsJ. B. Haga, H. Osnes and H. P. Langtangen
TitleEfficient Block Preconditioners for the Coupled Equations of Pressure and Deformation in Highly Discontinuous Media
Afilliation, , , Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeJournal Article
Year of Publication2011
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume35
Number13
Pagination1466-1482
Date PublishedNovember
Abstract

Large-scale simulations of flow in deformable porous media require efficient iterative methods for solving the involved systems of linear algebraic equations. Construction of efficient iterative methods is particularly challenging in problems with large jumps in material properties, which is often the case in geological applications, such as basin evolution at regional scales. The success of iterative methods for this type of problems depends strongly on finding effective preconditioners. This paper investigates how the block-structured matrix system arising from single-phase flow in elastic porous media should be preconditioned, in particular for highly discontinuous permeability and significant jumps in elastic properties. The most promising preconditioner combines algebraic multigrid with a Schur complement-based exact block decomposition. The paper compares numerous block preconditioners with the aim of providing guidelines on how to formulate efficient preconditioners.

DOI10.1002/nag.973
Citation KeySimula.SC.660