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  4. Equal-order finite element method for the Stokes equations with variable viscosity
 
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Equal-order finite element method for the Stokes equations with variable viscosity
Dr. Poza-Díaz, Abner 
Facultad de Ingeniería 
Rebolledo, Ramiro
10.1016/j.aml.2023.108930
Elsevier
2024
In this brief note, we extend the initial investigation proposed in John et al. (2016) to study the Stokes equations with variable viscosity considering a stabilized finite element scheme based on equal order polynomials for approximating the velocity and the pressure. We establish optimal a priori error estimates for this new stabilized scheme, which are further confirmed by numerical tests. Moreover, these tests show a weak viscosity dependence in the error bounds for different orders of magnitude between 𝜈max and 𝜈min.
Non-newtonian flow
Incompressible Stokes equations
Variable viscosity
Stabilized finite element method
Dependency on the viscosity
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