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Étude de deux schemas numériques pour les équations de la thermoélasticité. (French) Zbl 0516.73011

MSC:
74F05 Thermal effects in solid mechanics
74A15 Thermodynamics in solid mechanics
65N15 Error bounds for boundary value problems involving PDEs
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References:
[1] A. BERMUDEZ, C. MORENO, Duality methods for solving variational inequalities, Computer and Mathematics with applications, 7 (1981), pp. 43-81. Zbl0456.65036 MR593554 · Zbl 0456.65036
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[3] H. BREZIS, Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert, North-Holland, 1973. Zbl0252.47055 · Zbl 0252.47055
[4] D. E. CARLSON, Linear thermoelasticity. Encyclopaedia of physics. Vol. VI/a2, Springer-Verlag, 1972.
[5] T. DUPONT, L-Estimates for Galerkin methods for second order hyperbolic equations, SIAM, J. Num.Anal., Vol. 10 (1973), pp.880-889. Zbl0239.65087 MR349045 · Zbl 0239.65087
[6] T. DUPONT, G. FAIRWEATHER, J. PETER JOHNSON, Three-level Galerkin methods for parabolic equations, SIAM, J. Num. Anal., Vol. 11(1974), pp.392-410 Zbl0313.65107 MR403259 · Zbl 0313.65107
[7] G. DUVAUT, J. L. LIONS, Inéquations en thermoélasticité et magnétohydrodynamique, Arch. Rat. Mech. Anal., 46 (1972), pp.241-279. Zbl0264.73027 MR346289 · Zbl 0264.73027
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[9] J. M. VIANO, Un problème de thermoélasticité à solutions périodique, Rapport de Recherche n^\circ 91, I.N.R.I.A. Rocquencourt, septembre 1981.
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