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Mathematical Modelling of Natural Phenomena

Vol. 4, No. 1 (2009)

Modelling and numerical methods in contact mechanics




Locking-Free Finite Elements for Unilateral Crack Problems in Elasticity     p. 1
Z. Belhachmi, J.-M. Sac-Epée and S. Tahir
Published online: 27 January 2009
DOI: 10.1051/mmnp/20094101
Abstract | PDF (300.7 KB) | References

On the Unilateral Contact Between Membranes. Part 1: Finite Element Discretization and Mixed Reformulation     p. 21
F. Ben Belgacem, C. Bernardi, A. Blouza and M. Vohralík
Published online: 27 January 2009
DOI: 10.1051/mmnp/20094102
Abstract | PDF (251.2 KB) | References

Numerical Modelling of Contact Elastic-Plastic Flows     p. 44
N. M. Bessonov, S.F. Golovashchenko and V.A. Volpert
Published online: 27 January 2009
DOI: 10.1051/mmnp/20094103
Abstract | PDF (674.2 KB) | References

A Reduced Basis Enrichment for the eXtended Finite Element Method     p. 88
E. Chahine, P. Laborde and Y. Renard
Published online: 27 January 2009
DOI: 10.1051/mmnp/20094104
Abstract | PDF (418.9 KB) | References

A Posteriori Error Estimates for Finite Volume Approximations     p. 106
S. Cochez-Dhondt, S. Nicaise and S. Repin
Published online: 27 January 2009
DOI: 10.1051/mmnp/20094105
Abstract | PDF (242.8 KB) | References

A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation     p. 123
J. Haslinger, R. Kučera and T. Sassi
Published online: 27 January 2009
DOI: 10.1051/mmnp/20094106
Abstract | PDF (283.2 KB) | References

Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction     p. 147
M. Bostan and P. Hild
Published online: 27 January 2009
DOI: 10.1051/mmnp/20094107
Abstract | PDF (222.0 KB) | References

A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics     p. 163
V. Lleras
Published online: 27 January 2009
DOI: 10.1051/mmnp/20094108
Abstract | PDF (256.2 KB) | References

Singular Perturbations For Heart Image Segmentation Tracking     p. 183
J. Pousin
Published online: 27 January 2009
DOI: 10.1051/mmnp/20094109
Abstract | PDF (2.949 MB) | References