A finite element method for the stationary Stokes equations using trial functions which do not have to satisfy

Author:
Richard S. Falk

Journal:
Math. Comp. **30** (1976), 698-702

MSC:
Primary 65N30

DOI:
https://doi.org/10.1090/S0025-5718-1976-0421109-7

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 restriction on the trial functions. The method is described using continuous piecewise linear functions, and the optimal order of convergence estimate is derived for the error in the norm.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1976-0421109-7

Article copyright:
© Copyright 1976
American Mathematical Society