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2006.255: On mass conservation in least squares methods

2006.255: P. Bolton and R.W. Thatcher (2005) On mass conservation in least squares methods. Journal on Computational Physics, 203 (1). pp. 287-304. ISSN 0192-8651

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DOI: 10.1016/j.jcp.2004.08.013

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
Uncontrolled Keywords:First-order; Least-squares; Finite elements; Conservation of mass; Stokes flows; Stress and stream functions
Subjects:MSC 2000 > 80 Classical thermodynamics, heat transfer
MIMS number:2006.255
Deposited By:Miss Louise Stait
Deposited On:09 August 2006

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