The coupling of boundary integral and finite element methods for the exterior steady Oseen problem

Yiannian He, R.M.M. Mattheij

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)
1 Downloads (Pure)

Abstract

In this article, we present a new numerical method for solving the steady Oseen equations in an unbounded plane domain. The technique consists in coupling the boundary integral and the finite element methods. An artificial smooth boundary is introduced separating an interior inhomogeneous region from an exterior homogeneous one. The solution in exterior region is represented by an integral equation over the artificial boundary. This integral equation is incorporated into a velocity-pressure formulation for the interior region, and a finite element method is used to approximate the resulting variational problem. Finally, the optimal error estimates of the numerical solution are derived. Computer results will be discussed in a forthcoming paper.
Original languageEnglish
Pages (from-to)27-40
Number of pages14
JournalComputers and Mathematics with Applications
Volume37
Issue number2
DOIs
Publication statusPublished - 1999

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