Parallel Multiblock Multigrid Algorithms for Poroelastic Models

Raimondas Čiegis (), Francisco Gaspar and Carmen Rodrigo
Additional contact information
Raimondas Čiegis: Vilnius Gediminas Technical University
Francisco Gaspar: Universidad de Zaragoza
Carmen Rodrigo: Universidad de Zaragoza

A chapter in Parallel Scientific Computing and Optimization, 2009, pp 169-180 from Springer

Abstract: Abstract The application of parallel multigrid for two-dimensional poroelastic model is investigated. First, a special stabilized finite difference scheme is proposed, which allows one to get a monotone approximation of the differential problem. The obtained systems of linear algebraic equations are solved by a multigrid method, when a domain is partitioned into structured blocks. This geometrical structure is used to develop a parallel version of the multigrid algorithm. The convergence for different smoothers is investigated, it is shown that the box Gauss–Seidel smoother is robust and efficient. Finally, the parallel multigrid method is tested for the Poisson problem.

Keywords: Coarse Grid; Multigrid Method; Poisson Problem; Parallel Block; Poroelastic Model (search for similar items in EconPapers)
Date: 2009
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-09707-7_15

Ordering information: This item can be ordered from
http://www.springer.com/9780387097077

DOI: 10.1007/978-0-387-09707-7_15

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().