Residual-free bubbles for advection-diffusion problems: the general error analysis
We develop the general a priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form (εA + C)u = f subject to homogeneous Dirichlet boundary condition, where A is a symmetric second-order elliptic operator, C is a skew-symmetric first...
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| Format: | Journal article |
| Language: | English |
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2000
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| _version_ | 1826267906217869312 |
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| author | Brezzi, F Marini, D Suli, E |
| author_facet | Brezzi, F Marini, D Suli, E |
| author_sort | Brezzi, F |
| collection | OXFORD |
| description | We develop the general a priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form (εA + C)u = f subject to homogeneous Dirichlet boundary condition, where A is a symmetric second-order elliptic operator, C is a skew-symmetric first-order differential operator, and ε is a positive parameter. Optimal-order error bounds are derived in various norms, using piecewise polynomial finite elements of degree k ≥ 1. |
| first_indexed | 2024-03-06T21:01:26Z |
| format | Journal article |
| id | oxford-uuid:3b00c8f4-4115-4ad6-8282-d6cab0f4cedd |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:01:26Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:3b00c8f4-4115-4ad6-8282-d6cab0f4cedd2022-03-26T14:05:01ZResidual-free bubbles for advection-diffusion problems: the general error analysisJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3b00c8f4-4115-4ad6-8282-d6cab0f4ceddEnglishSymplectic Elements at Oxford2000Brezzi, FMarini, DSuli, EWe develop the general a priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form (εA + C)u = f subject to homogeneous Dirichlet boundary condition, where A is a symmetric second-order elliptic operator, C is a skew-symmetric first-order differential operator, and ε is a positive parameter. Optimal-order error bounds are derived in various norms, using piecewise polynomial finite elements of degree k ≥ 1. |
| spellingShingle | Brezzi, F Marini, D Suli, E Residual-free bubbles for advection-diffusion problems: the general error analysis |
| title | Residual-free bubbles for advection-diffusion problems: the general error analysis |
| title_full | Residual-free bubbles for advection-diffusion problems: the general error analysis |
| title_fullStr | Residual-free bubbles for advection-diffusion problems: the general error analysis |
| title_full_unstemmed | Residual-free bubbles for advection-diffusion problems: the general error analysis |
| title_short | Residual-free bubbles for advection-diffusion problems: the general error analysis |
| title_sort | residual free bubbles for advection diffusion problems the general error analysis |
| work_keys_str_mv | AT brezzif residualfreebubblesforadvectiondiffusionproblemsthegeneralerroranalysis AT marinid residualfreebubblesforadvectiondiffusionproblemsthegeneralerroranalysis AT sulie residualfreebubblesforadvectiondiffusionproblemsthegeneralerroranalysis |