A preconditioner for a FETI-DP method for mortar element discretization of a 4th order problem in 2D
Electronic transactions on numerical analysis, Tome 38 (2011), pp. 1-16
In this paper a parallel preconditioner for a FETI-DP formulation for a mortar discretization of a fourth order problem is presented and analyzed. We show that the condition number of the preconditioned FETI-DP operator is proportional to , where and are mesh sizes. $\textcent \?\sterling $??§?$\copyright \?\?\?\textcent $- ?? -- ??! ?" ? ?
Classification :
65N30, 65N55
Keywords: FETI-DP, mortar, nonmatching meshes, finite element, preconditioner
Keywords: FETI-DP, mortar, nonmatching meshes, finite element, preconditioner
@article{ETNA_2011__38__a0,
author = {Marcinkowski, Leszek},
title = {A preconditioner for a {FETI-DP} method for mortar element discretization of a 4th order problem in {2D}},
journal = {Electronic transactions on numerical analysis},
pages = {1--16},
year = {2011},
volume = {38},
zbl = {1205.65318},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2011__38__a0/}
}
TY - JOUR AU - Marcinkowski, Leszek TI - A preconditioner for a FETI-DP method for mortar element discretization of a 4th order problem in 2D JO - Electronic transactions on numerical analysis PY - 2011 SP - 1 EP - 16 VL - 38 UR - http://geodesic.mathdoc.fr/item/ETNA_2011__38__a0/ LA - en ID - ETNA_2011__38__a0 ER -
Marcinkowski, Leszek. A preconditioner for a FETI-DP method for mortar element discretization of a 4th order problem in 2D. Electronic transactions on numerical analysis, Tome 38 (2011), pp. 1-16. http://geodesic.mathdoc.fr/item/ETNA_2011__38__a0/