Barrenechea, G;
Burman, E;
Guzman, J;
(2020)
Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow.
Mathematical Models and Methods in Applied Sciences
, 30
(5)
pp. 846-865.
10.1142/S0218202520500165.
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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+12). We also prove error estimates for the pressure error in the L2-norm.
| Type: | Article |
|---|---|
| Title: | Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1142/S0218202520500165 |
| Publisher version: | https://doi.org/10.1142/S0218202520500165 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Inviscid flows, well-posedness, H(div)-conforming finite elements, error estimates |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10092088 |
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