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...
| Huvudupphovsmän: | , , |
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| Materialtyp: | Report |
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Unspecified
2004
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| _version_ | 1826278091487444992 |
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| author | Barrett, J Robson, J Suli, E |
| author_facet | Barrett, J Robson, J Suli, E |
| author_sort | Barrett, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T23:38:46Z |
| format | Report |
| id | oxford-uuid:6e924085-a8f9-4d51-b9b8-904eb0c0e4cb |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:38:46Z |
| publishDate | 2004 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:6e924085-a8f9-4d51-b9b8-904eb0c0e4cb2022-03-26T19:25:20ZA posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flowsReporthttp://purl.org/coar/resource_type/c_93fcuuid:6e924085-a8f9-4d51-b9b8-904eb0c0e4cbMathematical Institute - ePrintsUnspecified2004Barrett, JRobson, JSuli, EWe 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. |
| spellingShingle | Barrett, J Robson, J Suli, E A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows |
| title | A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows |
| title_full | A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows |
| title_fullStr | A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows |
| title_full_unstemmed | A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows |
| title_short | A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows |
| title_sort | posteriori error analysis of mixed finite element approximations to quasi newtonian incompressible flows |
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