Analisi numerica. -Variational approximation afflux 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...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2001
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| _version_ | 1797054311856865280 |
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| author | Brezzi, F Hughes, T Süli, E Magenes, D |
| author_facet | Brezzi, F Hughes, T Süli, E Magenes, D |
| 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 | 2024-03-06T18:55:28Z |
| format | Journal article |
| id | oxford-uuid:11ae3a80-f759-4b8e-97f4-8bb3bd5a5662 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:55:28Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:11ae3a80-f759-4b8e-97f4-8bb3bd5a56622022-03-26T10:03:39ZAnalisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problemJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:11ae3a80-f759-4b8e-97f4-8bb3bd5a5662EnglishSymplectic Elements at Oxford2001Brezzi, FHughes, TSüli, EMagenes, DWe 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 Süli, E Magenes, D Analisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problem |
| title | Analisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problem |
| title_full | Analisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problem |
| title_fullStr | Analisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problem |
| title_full_unstemmed | Analisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problem |
| title_short | Analisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problem |
| title_sort | analisi numerica variational approximation afflux in conforming finite element methods for elliptic partial differential equations a model problem |
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