A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows
We develop the a posteriori error analysis of mixed finite element approximations of a general family of steady, viscous, incompressible quasi-Newtonian fluids in a bounded Lipschitz domain; the family includes degenerate models such as the power-law model, as well as non-degenerate ones such as the...
| Autores principales: | , , |
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| Formato: | Report |
| Publicado: |
Unspecified
2004
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| Sumario: | We develop the a posteriori error analysis of mixed finite element approximations of a general family of steady, viscous, incompressible quasi-Newtonian fluids in a bounded Lipschitz domain; the family includes degenerate models such as the power-law model, as well as non-degenerate ones such as the Carreau model. The unified theoretical framework developed herein yields residual-based a posteriori bounds which measure the error in the approximations of the velocity and the pressure. |
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