Bolton, P. and Thatcher, R.W.
(2005)
*On mass conservation in least squares methods.*
Journal on Computational Physics, 203 (1).
pp. 287-304.
ISSN 0192-8651

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## Abstract

We compare three least-squares finite element reformulations of the Stokes equations, paying particular attention to mass conservation. The first problem we approximate has a simple analytical solution over a convex region. Even for this simple problem, without special treatment of the conservation of mass term, very poor numerical solutions may result. Sufficiently weighting this term leads to a dramatic improvement in the results over a range of test problems.

Item Type: | Article |
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Uncontrolled Keywords: | First-order; Least-squares; Finite elements; Conservation of mass; Stokes flows; Stress and stream functions |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 80 Classical thermodynamics, heat transfer |

Depositing User: | Ms Lucy van Russelt |

Date Deposited: | 09 Aug 2006 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/464 |

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