Iteratively solving a kind of signorini transmission problem in a unbounded domain

Qiya Hu; Dehao Yu

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

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

Abstract

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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.

How to cite

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Hu, Qiya, and Yu, Dehao. "Iteratively solving a kind of signorini transmission problem in a unbounded domain." ESAIM: Mathematical Modelling and Numerical Analysis 39.4 (2010): 715-726. <http://eudml.org/doc/194283>.

@article{Hu2010,
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},
keywords = {Signorini contact; FEM-BEM coupling; variational inequality; D-N alternation; convergence rate.; variational inequality; convergence rate},
language = {eng},
month = {3},
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/194283},
volume = {39},
year = {2010},
}

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
DA - 2010/3//
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.; variational inequality; convergence rate
UR - http://eudml.org/doc/194283
ER -

References

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