Mesh r-Adaptation for Unilateral Contact Problems

• Autorzy: Beal P. , Koko J. , Touzani R.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

unilateral contact; linear elasticity; mesh adaptivity; node movement

PL

kontakt jednostronny; sprężystość liniowa; ruch węzła

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 1
• Strony: 9--16
• Opis fizyczny: Bibliogr.8 poz., rys., wykr.

Twórcy

autor

Beal P.

• NUMTECH-27, rue Jean Claret, Parc Technologique de La Pardieu, 63 063 Clermont-Ferrand Cedex 1, France

autor

Koko J.

• Laboratoire d’Informatique, de Modélisation et d’Optimisation, des Systèmes - CNRS/FRE 2239, Université Blaise Pascal (Clermont-Ferrand II), 63 177 Aubière Cedex, France

autor

Touzani R.

• Laboratoire de Mathématiques Appliquées - CNRS/UMR 6620, Université Blaise Pascal (Clermont-Ferrand II), 63 177 Aubière Cedex, France

Bibliografia

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• [2] D’azevedo E.F. and Simpson R.B. (1991): On optimal triangular meshes for minimizing the gradient error. - Nüm. Math., Vol. 59, No. 4, pp. 321-348.
• [3] Fortin M. (1998): Anisotropic mesh adaptation through hierarchical error estimators. - SIAM J. Numer. Anal., Vol. 26, No. 4, pp. 788-811.
• [4] Habashi W.G., Fortin M., Yahia D.A.A., Boivin S., Bourgault Y., Dompierre J., Robichaud M.P., Tam A. and Vallet M.-G. (1996): Anisotropic Mesh Optimization. Towards a Solver-Independent and Mesh-Independent CFD. - Lecture Series in Computational Fluid Dynamics, Von Karman Institute for Fluid Dynamics.
• [5] Haslinger J., Neitaanmäki 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.
• [6] Kikuchi N. and Oden J. (1988): Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods. - Philadelphia, PA: SIAM.
• [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.
• [8] Tourigny Y. and Hülsemann 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.