On mass conservation in least squares methods

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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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
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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