A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations

@article{Kay1999APE,
  title={A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations},
  author={David A. Kay and David J. Silvester},
  journal={SIAM J. Scientific Computing},
  year={1999},
  volume={21},
  pages={1321-1336}
}
The practical implementation of the lowest-order P1–P0 (linear velocity, constant pressure) finite element method for the steady-state incompressible (Navier–)Stokes equations is addressed in this work. Three different types of a posteriori error indicator are introduced and each is shown to be equivalent to the discretization error. Our numerical results show that these indicators can be used to drive an adaptive refinement process which is specially tailored to create grids which conform to… CONTINUE READING

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