A-posteriori error estimators and RFB
We derive a posteriori bounds for the residual-free bubble (RFB) method for the solution of convection-dominated diffusion equations. Both linear functional error control and energy norm error control are considered. The implementation of a reliable and efficient $h$ adaptive algorithm is discussed....
| मुख्य लेखकों: | , |
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| स्वरूप: | Report |
| प्रकाशित: |
Unspecified
2004
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| _version_ | 1826256948737081344 |
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| author | Cangiani, A Suli, E |
| author_facet | Cangiani, A Suli, E |
| author_sort | Cangiani, A |
| collection | OXFORD |
| description | We derive a posteriori bounds for the residual-free bubble (RFB) method for the solution of convection-dominated diffusion equations. Both linear functional error control and energy norm error control are considered. The implementation of a reliable and efficient $h$ adaptive algorithm is discussed. Finally, we proposed an $hb$ adaptive algorithm in which the local bubble stabilisation is automatically turned off ($b$ derefinement) in large parts of the computational domain during the $h$ refinement process, without compromising the accuracy of the method. The first author acknowledges the financial support of INdAM and EPSRC. |
| first_indexed | 2024-03-06T18:10:22Z |
| format | Report |
| id | oxford-uuid:02cdfeb0-dbd6-42fa-9db7-1185cf68fb79 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:10:22Z |
| publishDate | 2004 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:02cdfeb0-dbd6-42fa-9db7-1185cf68fb792022-03-26T08:42:42ZA-posteriori error estimators and RFBReporthttp://purl.org/coar/resource_type/c_93fcuuid:02cdfeb0-dbd6-42fa-9db7-1185cf68fb79Mathematical Institute - ePrintsUnspecified2004Cangiani, ASuli, EWe derive a posteriori bounds for the residual-free bubble (RFB) method for the solution of convection-dominated diffusion equations. Both linear functional error control and energy norm error control are considered. The implementation of a reliable and efficient $h$ adaptive algorithm is discussed. Finally, we proposed an $hb$ adaptive algorithm in which the local bubble stabilisation is automatically turned off ($b$ derefinement) in large parts of the computational domain during the $h$ refinement process, without compromising the accuracy of the method. The first author acknowledges the financial support of INdAM and EPSRC. |
| spellingShingle | Cangiani, A Suli, E A-posteriori error estimators and RFB |
| title | A-posteriori error estimators and RFB |
| title_full | A-posteriori error estimators and RFB |
| title_fullStr | A-posteriori error estimators and RFB |
| title_full_unstemmed | A-posteriori error estimators and RFB |
| title_short | A-posteriori error estimators and RFB |
| title_sort | a posteriori error estimators and rfb |
| work_keys_str_mv | AT cangiania aposteriorierrorestimatorsandrfb AT sulie aposteriorierrorestimatorsandrfb |