Mesh r-adaptation for unilateral contact problems

Pierre Béal; Jonas Koko; Rachid Touzani

International Journal of Applied Mathematics and Computer Science (2002)

  • Volume: 12, Issue: 1, page 9-16
  • ISSN: 1641-876X

Abstract

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We present a mesh adaptation method by node movement for two-dimensional linear elasticity problems with unilateral contact. The adaptation is based on a hierarchical estimator on finite element edges and the node displacement techniques use an analogy of the mesh topology with a spring network. We show, through numerical examples, the efficiency of the present adaptation method.

How to cite

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Béal, Pierre, Koko, Jonas, and Touzani, Rachid. "Mesh r-adaptation for unilateral contact problems." International Journal of Applied Mathematics and Computer Science 12.1 (2002): 9-16. <http://eudml.org/doc/207573>.

@article{Béal2002,
abstract = {We present a mesh adaptation method by node movement for two-dimensional linear elasticity problems with unilateral contact. The adaptation is based on a hierarchical estimator on finite element edges and the node displacement techniques use an analogy of the mesh topology with a spring network. We show, through numerical examples, the efficiency of the present adaptation method.},
author = {Béal, Pierre, Koko, Jonas, Touzani, Rachid},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {mesh adaptivity; linear elasticity; unilateral contact; node movement; two-dimensional linear elasticity; hierarchical estimator; finite element edges; node displacement techniques; mesh topology; spring network},
language = {eng},
number = {1},
pages = {9-16},
title = {Mesh r-adaptation for unilateral contact problems},
url = {http://eudml.org/doc/207573},
volume = {12},
year = {2002},
}

TY - JOUR
AU - Béal, Pierre
AU - Koko, Jonas
AU - Touzani, Rachid
TI - Mesh r-adaptation for unilateral contact problems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 1
SP - 9
EP - 16
AB - We present a mesh adaptation method by node movement for two-dimensional linear elasticity problems with unilateral contact. The adaptation is based on a hierarchical estimator on finite element edges and the node displacement techniques use an analogy of the mesh topology with a spring network. We show, through numerical examples, the efficiency of the present adaptation method.
LA - eng
KW - mesh adaptivity; linear elasticity; unilateral contact; node movement; two-dimensional linear elasticity; hierarchical estimator; finite element edges; node displacement techniques; mesh topology; spring network
UR - http://eudml.org/doc/207573
ER -

References

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  2. D'azevedo E.F. and Simpson R.B. (1991): On optimal triangular meshes for minimizing the gradient error. - Num. Math., Vol. 59, No. 4, pp. 321-348. Zbl0724.65006
  3. Fortin M. (1998): Anisotropic mesh adaptation through hierarchical error estimators. - SIAM J. Numer. Anal., Vol. 26, No. 4, pp. 788-811. 
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  5. Haslinger J., Neitaanmaki P. and Salmenjoki K. (1992): On FE-grid relocation in solving unilateral boundary value problems by fem. - Applics. Math., Vol. 37, No. 2, pp. 105-122. Zbl0757.65114
  6. Kikuchi N. and Oden J. (1988): Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods. - Philadelphia, PA: SIAM. Zbl0685.73002
  7. Peraire J., Perió J. and Morgan K. (1992): Adaptive remeshing for three-dimensional compressible flow computation. - J. Comp. Phys., Vol. 103, No. 2, pp.269-285. Zbl0764.76037
  8. Tourigny Y. and Hulsemann F. (1998): A new moving mesh algorithm for the finite element solution of variational problems. - SIAM J. Numer. Anal., Vol. 35, No. 4, pp. 1416-1438. Zbl0913.65059

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