MSC:
49J40,
73N99,
73U05,
74A55,
74F05,
74G30,
74H25,
74M15,
74S05,
74S30,
86A60 | MR 0723201 | Zbl 0534.73095 | DOI: 10.21136/AM.1983.104053

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Signorini problem without friction; steady-state case; model geodynamical problem; plate tectonic hypothesis; existence; convergence of approximate FEM solution; of order O(h); sufficiently regular solution

References:

[1] J. Nedoma: **Thermo-elastic stress-strain analysis of the geodynamic mechanism**. Gerlands Beitr. Geophysik, Leipzig 91 (1982) 1, 75-89.

[2] J. Nečas: **Les méthodes directes en théorie des équations elliptiques**. Academia, Praha 1967. MR 0227584

[3] I. Hlaváček J. Lovíšek: **A finite element analysis for the Signorini problem in plane elastostatics**. Aplikace Matematiky, 22 (1977), 215-228. MR 0446014

[4] I. Hlaváček: **Dual finite element analysis for unilateral boundary value problems**. Aplikace matematiky 22 (1977), 14-51. MR 0426453

[5] U. Mosco G. Strang: **One-sided approximation and variational inequalities**. Bull. Amer. Math. Soc. 80 (1974), 308-312. DOI 10.1090/S0002-9904-1974-13477-4 | MR 0331818

[6] R. S. Falk: **Error estimates for approximation of a class of a variational inequalities**. Math. of Соmр. 28 (1974), 963-971. MR 0391502

[7] J. Haslinger: **Finite element analysis for unilateral problems with obstacles on the boundary**. Aplikace matematiky 22 (1977), 180-188. MR 0440956 | Zbl 0434.65083

[8] J. Céa: **Optimisation, théorie et algorithmes**. Dunod Paris 1971. MR 0298892

[9] J. Nedoma: **The use of the variational inequalities in geophysics**. Proc. of the summer school "Software and algorithms of numerical mathematics" (Czech), Nové Město n. M., 1979, MFF UK, Praha 1980, 97-100.