Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows
We develop a posteriori upper and lower error bounds for mixed finite-element approximations of a general family of steady, viscous, incompressible quasi-Newtonian flows in a bounded Lipschitz domain; the family includes degenerate models such as the power law model, as well as non-degenerate ones s...
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| Format: | Journal article |
| Language: | English |
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2008
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| _version_ | 1797050261286420480 |
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| author | Berrone, S Suli, E |
| author_facet | Berrone, S Suli, E |
| author_sort | Berrone, S |
| collection | OXFORD |
| description | We develop a posteriori upper and lower error bounds for mixed finite-element approximations of a general family of steady, viscous, incompressible quasi-Newtonian flows 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 approximation of the velocity in the W1, r(Ω) norm and that of the pressure in the Lr′(Ω) norm, 1/r + 1/r′ = 1, r ∈ (1, ∞). |
| first_indexed | 2024-03-06T18:02:33Z |
| format | Journal article |
| id | oxford-uuid:00504b6a-fce1-4f59-a841-5a26e87650a9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:02:33Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:00504b6a-fce1-4f59-a841-5a26e87650a92022-03-26T08:28:44ZTwo-sided a posteriori error bounds for incompressible quasi-Newtonian flowsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:00504b6a-fce1-4f59-a841-5a26e87650a9EnglishSymplectic Elements at Oxford2008Berrone, SSuli, EWe develop a posteriori upper and lower error bounds for mixed finite-element approximations of a general family of steady, viscous, incompressible quasi-Newtonian flows 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 approximation of the velocity in the W1, r(Ω) norm and that of the pressure in the Lr′(Ω) norm, 1/r + 1/r′ = 1, r ∈ (1, ∞). |
| spellingShingle | Berrone, S Suli, E Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows |
| title | Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows |
| title_full | Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows |
| title_fullStr | Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows |
| title_full_unstemmed | Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows |
| title_short | Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows |
| title_sort | two sided a posteriori error bounds for incompressible quasi newtonian flows |
| work_keys_str_mv | AT berrones twosidedaposteriorierrorboundsforincompressiblequasinewtonianflows AT sulie twosidedaposteriorierrorboundsforincompressiblequasinewtonianflows |