Geodesic
An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 34-54
In this paper we introduce and analyze a parallel ASM preconditioner for the system of equations arising from the finite element discretizations of a fourth order elliptic problem with large jumps in coefficients on nonconforming meshes. Locally Morley nonconforming element is used. The condition number estimate proved here is almost optimal, i.e., it grows polylogarithmically as the sizes of the meshes decrease.
Classification : 65N55, 65N30, 65N22, 74S05
Keywords: plate problem, mortar finite element method, morley nonconforming plate element, domain decomposition, preconditioner, additive Schwarz method 
@article{ETNA_2007__26__a23,
     author = {Marcinkowski,  Leszek},
     title = {An additive {Schwarz} method for mortar {Morley} finite element discretizations of 4th order elliptic problem in {2D}},
     journal = {Electronic transactions on numerical analysis},
     pages = {34--54},
     year = {2007},
     volume = {26},
     zbl = {1113.65112},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a23/}
}
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AU  - Marcinkowski,  Leszek
TI  - An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D
JO  - Electronic transactions on numerical analysis
PY  - 2007
SP  - 34
EP  - 54
VL  - 26
UR  - http://geodesic.mathdoc.fr/item/ETNA_2007__26__a23/
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ID  - ETNA_2007__26__a23
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%0 Journal Article
%A Marcinkowski,  Leszek
%T An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D
%J Electronic transactions on numerical analysis
%D 2007
%P 34-54
%V 26
%U http://geodesic.mathdoc.fr/item/ETNA_2007__26__a23/
%G en
%F ETNA_2007__26__a23
Marcinkowski,  Leszek. An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D. Electronic transactions on numerical analysis, Tome 26 (2007), pp. 34-54. http://geodesic.mathdoc.fr/item/ETNA_2007__26__a23/