The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions.
The subject of this work is the analysis and implementation of stabilized finite element methods on anisotropic meshes. We develop the anisotropic a priori error analysis of the residual-free-bubble (RFB) method applied to elliptic convection-dominated convection-diffusion problems in two dimensions...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2007
|
| _version_ | 1826257391554920448 |
|---|---|
| author | Cangiani, A Süli, E |
| author_facet | Cangiani, A Süli, E |
| author_sort | Cangiani, A |
| collection | OXFORD |
| description | The subject of this work is the analysis and implementation of stabilized finite element methods on anisotropic meshes. We develop the anisotropic a priori error analysis of the residual-free-bubble (RFB) method applied to elliptic convection-dominated convection-diffusion problems in two dimensions, with finite element spaces of type Qk., k ≥ 1. In the case of P1 finite elements, relying on the equivalence of the RFB method to classical stabilized finite element methods, we propose a new rule, justified through the analysis of the RFB method, for selecting the stabilization parameter in classical stabilized methods on two-dimensional anisotropic triangulations. © 2007 Society for Industrial and Applied Mathematics. |
| first_indexed | 2024-03-06T18:17:28Z |
| format | Journal article |
| id | oxford-uuid:051994cc-c9f3-44d1-99ba-1349c9115f71 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:17:28Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:051994cc-c9f3-44d1-99ba-1349c9115f712022-03-26T08:55:20ZThe Residual-Free-Bubble Finite Element Method on Anisotropic Partitions.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:051994cc-c9f3-44d1-99ba-1349c9115f71EnglishSymplectic Elements at Oxford2007Cangiani, ASüli, EThe subject of this work is the analysis and implementation of stabilized finite element methods on anisotropic meshes. We develop the anisotropic a priori error analysis of the residual-free-bubble (RFB) method applied to elliptic convection-dominated convection-diffusion problems in two dimensions, with finite element spaces of type Qk., k ≥ 1. In the case of P1 finite elements, relying on the equivalence of the RFB method to classical stabilized finite element methods, we propose a new rule, justified through the analysis of the RFB method, for selecting the stabilization parameter in classical stabilized methods on two-dimensional anisotropic triangulations. © 2007 Society for Industrial and Applied Mathematics. |
| spellingShingle | Cangiani, A Süli, E The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions. |
| title | The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions. |
| title_full | The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions. |
| title_fullStr | The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions. |
| title_full_unstemmed | The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions. |
| title_short | The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions. |
| title_sort | residual free bubble finite element method on anisotropic partitions |
| work_keys_str_mv | AT cangiania theresidualfreebubblefiniteelementmethodonanisotropicpartitions AT sulie theresidualfreebubblefiniteelementmethodonanisotropicpartitions AT cangiania residualfreebubblefiniteelementmethodonanisotropicpartitions AT sulie residualfreebubblefiniteelementmethodonanisotropicpartitions |