Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem
We consider the approximation of elliptic boundary value problems by conforming finite element methods. A model problem, the Poisson equation with Dirichlet boundary conditions, is used to examine the convergence behavior of flux defined on an internal boundary which splits the domain in two. A vari...
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| Format: | Report |
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2001
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| _version_ | 1826303433130377216 |
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| author | Brezzi, F Hughes, T Suli, E |
| author_facet | Brezzi, F Hughes, T Suli, E |
| author_sort | Brezzi, F |
| collection | OXFORD |
| description | We consider the approximation of elliptic boundary value problems by conforming finite element methods. A model problem, the Poisson equation with Dirichlet boundary conditions, is used to examine the convergence behavior of flux defined on an internal boundary which splits the domain in two. A variational definition of flux, designed to satisfy local conservation laws, is shown to lead to improved rates of convergence. |
| first_indexed | 2024-03-07T06:02:37Z |
| format | Report |
| id | oxford-uuid:ecba99db-1a39-4a2f-9ffd-67a79416dcea |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:02:37Z |
| publishDate | 2001 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:ecba99db-1a39-4a2f-9ffd-67a79416dcea2022-03-27T11:19:38ZVariational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problemReporthttp://purl.org/coar/resource_type/c_93fcuuid:ecba99db-1a39-4a2f-9ffd-67a79416dceaMathematical Institute - ePrintsUnspecified2001Brezzi, FHughes, TSuli, EWe consider the approximation of elliptic boundary value problems by conforming finite element methods. A model problem, the Poisson equation with Dirichlet boundary conditions, is used to examine the convergence behavior of flux defined on an internal boundary which splits the domain in two. A variational definition of flux, designed to satisfy local conservation laws, is shown to lead to improved rates of convergence. |
| spellingShingle | Brezzi, F Hughes, T Suli, E Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem |
| title | Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem |
| title_full | Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem |
| title_fullStr | Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem |
| title_full_unstemmed | Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem |
| title_short | Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem |
| title_sort | variational approximation of flux in conforming finite element methods for elliptic partial differential equations a model problem |
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