Geodesic
On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates
Applications of Mathematics, Tome 32 (1987) no. 4, pp. 276-289

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Second order elliptic systems with boundary conditions of Dirichlet, Neumann's or Newton's type are solved by means of linear finite elements on regular uniform triangulations. Error estimates of the optimal order $O(h^2)$ are proved for the averaged gradient on any fixed interior subdomain, provided the problem under consideration is regular in a certain sense.
DOI : 10.21136/AM.1987.104259
Classification : 32J25, 65N15, 65N30, 73-08, 73C99, 74S05
Keywords: post-processing; averaged gradient; elliptic systems; second order elliptic systems; linear finite elements; regular uniform triangulations; error estimats; optimal order; superconvergence 
@article{10_21136_AM_1987_104259,
     author = {Hlav\'a\v{c}ek, Ivan and K\v{r}{\'\i}\v{z}ek, Michal},
     title = {On a superconvergent finite element scheme for elliptic systems. {III.} {Optimal} interior estimates},
     journal = {Applications of Mathematics},
     pages = {276--289},
     publisher = {mathdoc},
     volume = {32},
     number = {4},
     year = {1987},
     doi = {10.21136/AM.1987.104259},
     mrnumber = {0897832},
     zbl = {0636.65116},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104259/}
}
TY  - JOUR
AU  - Hlaváček, Ivan
AU  - Křížek, Michal
TI  - On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates
JO  - Applications of Mathematics
PY  - 1987
SP  - 276
EP  - 289
VL  - 32
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104259/
DO  - 10.21136/AM.1987.104259
LA  - en
ID  - 10_21136_AM_1987_104259
ER  - 
%0 Journal Article
%A Hlaváček, Ivan
%A Křížek, Michal
%T On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates
%J Applications of Mathematics
%D 1987
%P 276-289
%V 32
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104259/
%R 10.21136/AM.1987.104259
%G en
%F 10_21136_AM_1987_104259
Hlaváček, Ivan; Křížek, Michal. On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates. Applications of Mathematics, Tome 32 (1987) no. 4, pp. 276-289. doi: 10.21136/AM.1987.104259

Cité par Sources :