Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow

Gabriel Barrenechea, Erik Burman, Johnny Guzman

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
13 Downloads (Pure)

Abstract

We consider a linearised model of incompressible inviscid flow. Using a regularisation based on the Hodge Laplacian we prove existence and uniqueness of weak solutions for smooth domains. The model problem is then discretised using H(div)-conforming finite element methods, for which we prove error estimates for the velocity approximation in the L2-norm of order O(hk+1/2). We also prove error estimates for the pressure error in the L2-norm.
Original languageEnglish
Pages (from-to)847-865
Number of pages19
JournalMathematical Models and Methods in Applied Sciences
Volume30
Issue number5
Early online date23 Apr 2020
DOIs
Publication statusPublished - 31 May 2020

Keywords

  • inviscid flows
  • well-posedness
  • error estimates
  • H(div) conforming finite elements

Fingerprint

Dive into the research topics of 'Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow'. Together they form a unique fingerprint.

Cite this