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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A finite element method for the stationary Stokes equations using trial functions which do not have to satisfy $ {\rm div}\nu =0$


Author: Richard S. Falk
Journal: Math. Comp. 30 (1976), 698-702
MSC: Primary 65N30
MathSciNet review: 0421109
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Abstract: By adding a term to the variational equations, we derive a new finite element method for the stationary Stokes equations which eliminates the $ {\operatorname{div}}\upsilon = 0$ restriction on the trial functions. The method is described using continuous piecewise linear functions, and the optimal $ O(h)$ order of convergence estimate is derived for the error in the $ {H^1}(\Omega )$ norm.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1976-0421109-7
PII: S 0025-5718(1976)0421109-7
Article copyright: © Copyright 1976 American Mathematical Society