A Fictitious-Domain Method with Distributed Multiplier for the Stokes Problem

Vivette Girault, Roland Glowinski and T. W. Pan

A chapter in Applied Nonlinear Analysis, 2002, pp 159-174 from Springer

Abstract: Abstract This article is devoted to the numerical analysis of a fictitious domain method for the Stokes problem, where the boundary condition is enforced weakly by means of a multiplier defined in a portion of the domain. In practice, this is applied for example to the sedimentation of many particles in a fluid. It is found that the multiplier is divergence-free. We present here sufficient conditions on the relative mesh sizes for convergence of the discrete method. Also, we show how the constraint on the divergence of the discrete multiplier can be relaxed when such a sedimentation problem is discretized.

Keywords: Fictitious domain; distributed multiplier; particle sedimentation (search for similar items in EconPapers)
Date: 2002
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:sprchp:978-0-306-47096-7_12

Ordering information: This item can be ordered from
http://www.springer.com/9780306470967

DOI: 10.1007/0-306-47096-9_12

Access Statistics for this chapter

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