Geodesic
A BDDC preconditioner for a symmetric interior penalty Galerkin method
Electronic transactions on numerical analysis, Tome 46 (2017), pp. 190-214
We develop a nonoverlapping domain decomposition preconditioner for the symmetric interior penalty Galerkin method for heterogeneous elliptic problems. The preconditioner is based on balancing domain decomposition by constraints (BDDC). We show that the condition number of the preconditioned system satisfies similar estimates as those for conforming finite element methods. Corroborating numerical results are also presented.
Classification : 65N55, 65N30
Keywords: nonoverlapping domain decomposition, BDDC preconditioner, symmetric interior penalty method 
@article{ETNA_2017__46__a4,
     author = {Brenner,  Susanne C. and Park,  Eun-Hee and Sung,  Li-Yeng},
     title = {A {BDDC} preconditioner for a symmetric interior penalty {Galerkin} method},
     journal = {Electronic transactions on numerical analysis},
     pages = {190--214},
     year = {2017},
     volume = {46},
     zbl = {1368.65230},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2017__46__a4/}
}
TY  - JOUR
AU  - Brenner,  Susanne C.
AU  - Park,  Eun-Hee
AU  - Sung,  Li-Yeng
TI  - A BDDC preconditioner for a symmetric interior penalty Galerkin method
JO  - Electronic transactions on numerical analysis
PY  - 2017
SP  - 190
EP  - 214
VL  - 46
UR  - http://geodesic.mathdoc.fr/item/ETNA_2017__46__a4/
LA  - en
ID  - ETNA_2017__46__a4
ER  - 
%0 Journal Article
%A Brenner,  Susanne C.
%A Park,  Eun-Hee
%A Sung,  Li-Yeng
%T A BDDC preconditioner for a symmetric interior penalty Galerkin method
%J Electronic transactions on numerical analysis
%D 2017
%P 190-214
%V 46
%U http://geodesic.mathdoc.fr/item/ETNA_2017__46__a4/
%G en
%F ETNA_2017__46__a4
Brenner,  Susanne C.; Park,  Eun-Hee; Sung,  Li-Yeng. A BDDC preconditioner for a symmetric interior penalty Galerkin method. Electronic transactions on numerical analysis, Tome 46 (2017), pp. 190-214. http://geodesic.mathdoc.fr/item/ETNA_2017__46__a4/