Geodesic
Variational approximation of flux in conforming finite element methods for elliptic partial differential equations : a model problem
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 3, pp. 159-166

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Zbl MR
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. 
Brezzi, Franco; Hughes, Thomas J. R.; 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. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 3, pp. 159-166. http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_3_a1/
@article{RLIN_2001_9_12_3_a1,
     author = {Brezzi, Franco and Hughes, Thomas J. R. and S\"uli, Endre},
     title = {Variational approximation of flux in conforming finite element methods for elliptic partial differential equations : a model problem},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {159--166},
     year = {2001},
     volume = {Ser. 9, 12},
     number = {3},
     zbl = {1221.65304},
     mrnumber = {MR1898457},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_3_a1/}
}
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