In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration is independent of the mesh size. Besides, a combination between this method and the steepest descent method is also discussed.

Keywords: Signorini contact, FEM-BEM coupling, variational inequality, D-N alternation, convergence rate

@article{M2AN_2005__39_4_715_0, author = {Hu, Qiya and Yu, Dehao}, title = {Iteratively solving a kind of {Signorini} transmission problem in a unbounded domain}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {715--726}, publisher = {EDP-Sciences}, volume = {39}, number = {4}, year = {2005}, doi = {10.1051/m2an:2005031}, mrnumber = {2165676}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an:2005031/} }

TY - JOUR AU - Hu, Qiya AU - Yu, Dehao TI - Iteratively solving a kind of Signorini transmission problem in a unbounded domain JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2005 SP - 715 EP - 726 VL - 39 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2005031/ DO - 10.1051/m2an:2005031 LA - en ID - M2AN_2005__39_4_715_0 ER -

%0 Journal Article %A Hu, Qiya %A Yu, Dehao %T Iteratively solving a kind of Signorini transmission problem in a unbounded domain %J ESAIM: Modélisation mathématique et analyse numérique %D 2005 %P 715-726 %V 39 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2005031/ %R 10.1051/m2an:2005031 %G en %F M2AN_2005__39_4_715_0

Hu, Qiya; Yu, Dehao. Iteratively solving a kind of Signorini transmission problem in a unbounded domain. ESAIM: Modélisation mathématique et analyse numérique, Volume 39 (2005) no. 4, pp. 715-726. doi : 10.1051/m2an:2005031. http://www.numdam.org/articles/10.1051/m2an:2005031/

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