Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids
In this work, we introduce an iterative linearised finite element method for the solution of Bingham fluid flow problems. The proposed algorithm has the favourable property that a subsequence of the sequence of iterates generated converges weakly to a solution of the problem. This will be illustrate...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Elsevier
2022
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| _version_ | 1797107710535139328 |
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| author | Heid, P Suli, E |
| author_facet | Heid, P Suli, E |
| author_sort | Heid, P |
| collection | OXFORD |
| description | In this work, we introduce an iterative linearised finite element method for
the solution of Bingham fluid flow problems. The proposed algorithm has the
favourable property that a subsequence of the sequence of iterates generated
converges weakly to a solution of the problem. This will be illustrated by two
numerical experiments. |
| first_indexed | 2024-03-07T07:19:50Z |
| format | Journal article |
| id | oxford-uuid:67402a88-79da-4d57-9b3a-8a9416496953 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:19:50Z |
| publishDate | 2022 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:67402a88-79da-4d57-9b3a-8a94164969532022-09-27T10:16:22ZAdaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluidsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:67402a88-79da-4d57-9b3a-8a9416496953EnglishSymplectic ElementsElsevier2022Heid, PSuli, EIn this work, we introduce an iterative linearised finite element method for the solution of Bingham fluid flow problems. The proposed algorithm has the favourable property that a subsequence of the sequence of iterates generated converges weakly to a solution of the problem. This will be illustrated by two numerical experiments. |
| spellingShingle | Heid, P Suli, E Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids |
| title | Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids |
| title_full | Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids |
| title_fullStr | Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids |
| title_full_unstemmed | Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids |
| title_short | Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids |
| title_sort | adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to bingham fluids |
| work_keys_str_mv | AT heidp adaptiveiterativelinearisedfiniteelementmethodsforimplicitlyconstitutedincompressiblefluidflowproblemsanditsapplicationtobinghamfluids AT sulie adaptiveiterativelinearisedfiniteelementmethodsforimplicitlyconstitutedincompressiblefluidflowproblemsanditsapplicationtobinghamfluids |