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Volume 16, Issue 6
On the Coupling of Boundary Integral and Finite Element Methods for Signorini Problems

Weijun Tang, Hongyuan Fu & Longjun Shen

J. Comp. Math., 16 (1998), pp. 561-570.

Published online: 1998-12

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  • Abstract

In this paper, an exterior Signorini problem is reduced to a variational inequality on a bounded inner region with the help of a coupling of boundary integral and finite element methods. We established an equivalence between the original exterior Signorini problem and the variational inequality on the bounded inner region coupled with two integral equations on an auxiliary boundary. We also introduce a finite element approximation of the variational inequality and a boundary element approximation of the integral equations. Furthermore, the optimal error estimates are given.

  • Keywords

Boundary element, finite element, Signorini problems.

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COPYRIGHT: © Global Science Press

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@Article{JCM-16-561, author = {Tang , WeijunFu , Hongyuan and Shen , Longjun}, title = {On the Coupling of Boundary Integral and Finite Element Methods for Signorini Problems}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {6}, pages = {561--570}, abstract = {

In this paper, an exterior Signorini problem is reduced to a variational inequality on a bounded inner region with the help of a coupling of boundary integral and finite element methods. We established an equivalence between the original exterior Signorini problem and the variational inequality on the bounded inner region coupled with two integral equations on an auxiliary boundary. We also introduce a finite element approximation of the variational inequality and a boundary element approximation of the integral equations. Furthermore, the optimal error estimates are given.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9183.html} }
TY - JOUR T1 - On the Coupling of Boundary Integral and Finite Element Methods for Signorini Problems AU - Tang , Weijun AU - Fu , Hongyuan AU - Shen , Longjun JO - Journal of Computational Mathematics VL - 6 SP - 561 EP - 570 PY - 1998 DA - 1998/12 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9183.html KW - Boundary element, finite element, Signorini problems. AB -

In this paper, an exterior Signorini problem is reduced to a variational inequality on a bounded inner region with the help of a coupling of boundary integral and finite element methods. We established an equivalence between the original exterior Signorini problem and the variational inequality on the bounded inner region coupled with two integral equations on an auxiliary boundary. We also introduce a finite element approximation of the variational inequality and a boundary element approximation of the integral equations. Furthermore, the optimal error estimates are given.

Tang , WeijunFu , Hongyuan and Shen , Longjun. (1998). On the Coupling of Boundary Integral and Finite Element Methods for Signorini Problems. Journal of Computational Mathematics. 16 (6). 561-570. doi:
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