An absolutely stabilized finite element method for the Stokes problem

Authors:
Jim Douglas and Jun Ping Wang

Journal:
Math. Comp. **52** (1989), 495-508

MSC:
Primary 65N30; Secondary 76-08, 76D07

MathSciNet review:
958871

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Abstract: An absolutely stabilized finite element formulation for the Stokes problem is presented in this paper. This new formulation, which is nonsymmetric but stable without employment of any stability constant, can be regarded as a modification of the formulation proposed recently by Hughes and Franca in [8]. Optimal error estimates in -norm for the new stabilized finite element approximation of both the velocity and the pressure fields are established, as well as one in -norm for the velocity field.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1989-0958871-X

Keywords:
Stokes equation,
finite element method

Article copyright:
© Copyright 1989
American Mathematical Society