# Iteratively solving a kind of Signorini transmission problem in a unbounded domain

- Volume: 39, Issue: 4, page 715-726
- ISSN: 0764-583X

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topHu, Qiya, and Yu, Dehao. "Iteratively solving a kind of Signorini transmission problem in a unbounded domain." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 39.4 (2005): 715-726. <http://eudml.org/doc/245582>.

@article{Hu2005,

abstract = {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.},

author = {Hu, Qiya, Yu, Dehao},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {Signorini contact; FEM-BEM coupling; variational inequality; D-N alternation; convergence rate},

language = {eng},

number = {4},

pages = {715-726},

publisher = {EDP-Sciences},

title = {Iteratively solving a kind of Signorini transmission problem in a unbounded domain},

url = {http://eudml.org/doc/245582},

volume = {39},

year = {2005},

}

TY - JOUR

AU - Hu, Qiya

AU - Yu, Dehao

TI - Iteratively solving a kind of Signorini transmission problem in a unbounded domain

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2005

PB - EDP-Sciences

VL - 39

IS - 4

SP - 715

EP - 726

AB - 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.

LA - eng

KW - Signorini contact; FEM-BEM coupling; variational inequality; D-N alternation; convergence rate

UR - http://eudml.org/doc/245582

ER -

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