Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems

Low-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on P 1 , as for...

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Autores principales: Douglas, Jim, Santos, Juan Enrique, Sheen, Dongwoo, Ye, Xiu
Formato: Articulo
Lenguaje:Inglés
Publicado: 1999
Materias:
Ciencias Astronómicas
Nonconforming Galerkin methods
Quadrilateral elements
Second order elliptic problems
Domain decomposition iterative methods
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/122845
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-122845
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
Nonconforming Galerkin methods
Quadrilateral elements
Second order elliptic problems
Domain decomposition iterative methods
spellingShingle Ciencias Astronómicas
Nonconforming Galerkin methods
Quadrilateral elements
Second order elliptic problems
Domain decomposition iterative methods
Douglas, Jim
Santos, Juan Enrique
Sheen, Dongwoo
Ye, Xiu
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
topic_facet Ciencias Astronómicas
Nonconforming Galerkin methods
Quadrilateral elements
Second order elliptic problems
Domain decomposition iterative methods
description Low-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on P 1 , as for conforming elements; however, it is necessary to introduce new elements in the rectangular case. Optimal order error estimates are demonstrated in all cases with respect to a broken norm in H 1 (Ω) and in the Neumann and Robin cases in L 2 (Ω).
format Articulo
Articulo
author Douglas, Jim
Santos, Juan Enrique
Sheen, Dongwoo
Ye, Xiu
author_facet Douglas, Jim
Santos, Juan Enrique
Sheen, Dongwoo
Ye, Xiu
author_sort Douglas, Jim
title Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title_short Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title_full Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title_fullStr Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title_full_unstemmed Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
title_sort nonconforming galerkin methods based on quadrilateral elements for second order elliptic problems
publishDate 1999
url http://sedici.unlp.edu.ar/handle/10915/122845
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AT santosjuanenrique nonconforminggalerkinmethodsbasedonquadrilateralelementsforsecondorderellipticproblems
AT sheendongwoo nonconforminggalerkinmethodsbasedonquadrilateralelementsforsecondorderellipticproblems
AT yexiu nonconforminggalerkinmethodsbasedonquadrilateralelementsforsecondorderellipticproblems
bdutipo_str Repositorios
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