The optimisation of the mesh in first-order systems least-squares methods

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)

Abstract

We describe an algorithm for optimising the mesh in the least-squares finite element discretisation of first-order systems of partial differential equations. The key feature of the method is that the optimisation process is based entirely on the solution of local PDE problems. We apply the algorithm to the Stokes equations for the flow of a viscous incompressible fluid, and to a convection diffusion equation where convection dominates.
Translated title of the contributionThe optimisation of the mesh in first-order systems least-squares methods
Original languageEnglish
Pages (from-to)219 - 245
Number of pages27
JournalJournal of Scientific Computing
Volume24 (2)
DOIs
Publication statusPublished - Aug 2005

Bibliographical note

Publisher: Springer/Plenum Publishers
Other identifier: IDS Number: 966KD

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