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
Zbl   EuDML
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 
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/
@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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EP  - 54
VL  - 26
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