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Finite element technique for optimal pressure recovery from stream function formulation of viscous flows


Authors: M. E. Cayco and R. A. Nicolaides
Journal: Math. Comp. 46 (1986), 371-377
MSC: Primary 65N30; Secondary 76-08, 76D05
DOI: https://doi.org/10.1090/S0025-5718-1986-0829614-2
MathSciNet review: 829614
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Abstract: Following a general analysis of convergence for the finite element solution of the stream function formulation of the Navier-Stokes equation in bounded regions of the plane, an algorithm for pressure recovery is presented. This algorithm, which is easy to implement, is then analyzed and conditions ensuring optimality of the approximation are given. An application is made to a standard conforming cubic macroelement.


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DOI: https://doi.org/10.1090/S0025-5718-1986-0829614-2
Article copyright: © Copyright 1986 American Mathematical Society