full
search.png

Search

close.png

Cancel

arrow
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

Preview Full PDF 2655 25187

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard