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 journalArticle

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
JournalMathematical Models and Methods in Applied Sciences
Publication statusAccepted/In press - 14 Jan 2020

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Keywords

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

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