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 language | English |
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Pages (from-to) | 847-865 |
Number of pages | 19 |
Journal | Mathematical Models and Methods in Applied Sciences |
Volume | 30 |
Issue number | 5 |
Early online date | 23 Apr 2020 |
DOIs | |
Publication status | Published - 31 May 2020 |
Keywords
- inviscid flows
- well-posedness
- error estimates
- H(div) conforming finite elements