Variational approximation of flux in conforming finite element methods for elliptic partial differential equations : a model problem
Franco Brezzi; Thomas J. R. Hughes; Endre Süli
- Volume: 12, Issue: 3, page 159-166
- ISSN: 1120-6330
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topBrezzi, Franco, Hughes, Thomas J. R., and Süli, Endre. "Variational approximation of flux in conforming finite element methods for elliptic partial differential equations : a model problem." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 12.3 (2001): 159-166. <http://eudml.org/doc/252443>.
@article{Brezzi2001,
abstract = {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.},
author = {Brezzi, Franco, Hughes, Thomas J. R., Süli, Endre},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Finite element methods; Conservation; Error estimates; Flux functionals; finite element methods; conservation; error estimates; flux functionals},
language = {eng},
month = {9},
number = {3},
pages = {159-166},
publisher = {Accademia Nazionale dei Lincei},
title = {Variational approximation of flux in conforming finite element methods for elliptic partial differential equations : a model problem},
url = {http://eudml.org/doc/252443},
volume = {12},
year = {2001},
}
TY - JOUR
AU - Brezzi, Franco
AU - Hughes, Thomas J. R.
AU - Süli, Endre
TI - Variational approximation of flux in conforming finite element methods for elliptic partial differential equations : a model problem
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2001/9//
PB - Accademia Nazionale dei Lincei
VL - 12
IS - 3
SP - 159
EP - 166
AB - 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.
LA - eng
KW - Finite element methods; Conservation; Error estimates; Flux functionals; finite element methods; conservation; error estimates; flux functionals
UR - http://eudml.org/doc/252443
ER -
References
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