## A new absolutely stable simplified Galerkin Least-Squares finite element method using nonconforming element for the Stokes problem

- Gang Chen, Minfu Feng
- Applied Mathematics and Computation
- 2013

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@article{Bochev2004AnAS, title={An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations}, author={Pavel B. Bochev and Max Gunzburger}, journal={SIAM J. Numerical Analysis}, year={2004}, volume={42}, pages={1189-1207} }

- Published 2004 in SIAM J. Numerical Analysis
DOI:10.1137/S0036142903416547

The pressure-Poisson stabilized Galerkin method for the Stokes equation requires the choice of a positive parameter. Existing theoretical predictions for the range of parameter values that yield stable discretizations seem to be very pessimistic when compared to the computational evidence. Motivated by this wide gap, we first examine a continuous prototype for this class of schemes. We show that the prototype is absolutely stable, i.e., it is stable for all parameter values, and is optimallyâ€¦Â CONTINUE READING