Approximation and numerical realization of 3D contact problems with given friction and a coefficient of friction depending on the solution
Jaroslav Haslinger; Tomáš Ligurský
Applications of Mathematics (2009)
- Volume: 54, Issue: 5, page 391-416
- ISSN: 0862-7940
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top- Ciarlet, P. G., The Finite Element Method for Elliptic Problems. Studies in Mathematics and its Applications, Vol. 4, North-Holland Amsterdam-New York-Oxford (1978). (1978) MR0520174
- Clement, P., Approximation by finite element functions using local regularization, Rev. Franc. Automat. Inform. Rech. Operat. 9, R-2 (1975), 77-84. (1975) Zbl0368.65008MR0400739
- Duvaut, G., Lions, J.-L., Inequalities in Mechanics and Physics. Grundlehren der mathematischen Wissenschaften, Band 219, Springer Berlin-Heidelberg-New York (1976). (1976) MR0521262
- Glowinski, R., Numerical Methods for Nonlinear Variational Problems. Springer Series in Computational Physics, Springer New York (1984). (1984) MR0737005
- Haslinger, J., Hlaváček, I., Nečas, J., Numerical methods for unilateral problems in solid mechanics, Handbook of Numerical Analysis, Vol. IV P. G. Ciarlet et al. North-Holland Amsterdam (1995), 313-485. (1995) MR1422506
- Haslinger, J., Vlach, O., 10.1007/s10492-005-0010-6, Appl. Math. 50, (2005), 153-171. (2005) Zbl1099.65109MR2125156DOI10.1007/s10492-005-0010-6
- Hlaváček, I., 10.1023/A:1022220711369, Appl. Math. 45 (2000), 357-379. (2000) MR1777018DOI10.1023/A:1022220711369
- Hlaváček, I., Haslinger, J., Nečas, J., Lovíšek, J., 10.1007/978-1-4612-1048-1, Springer New York (1988). (1988) MR0952855DOI10.1007/978-1-4612-1048-1
- Kikuchi, N., Oden, J. T., Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods. SIAM Studies in Applied Mathematics, Vol. 8, SIAM Philadelphia (1988). (1988) MR0961258
- Kučera, R., 10.1137/060670456, SIAM J. Optim. 19 (2008), 846-862. (2008) Zbl1168.65028MR2448917DOI10.1137/060670456
- Ligurský, T., Approximation and numerical realization of 3D contact problems with given friction and a coefficient of friction depending on the solution. Diploma thesis MFF UK, 2007 (http://artax.karlin.mff.cuni.cz/ {ligut2am/tl21.pdf}), .