Geodesic
On a type of Signorini problem without friction in linear thermoelasticity
Applications of Mathematics, Tome 28 (1983) no. 6, pp. 393-407
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In the paper the Signorini problem without friction in the linear thermoelasticity for the steady-state case is investigated. The problem discussed is the model geodynamical problem, physical analysis of which is based on the plate tectonic hypothesis and the theory of thermoelasticity. The existence and unicity of the solution of the Signorini problem without friction for the steady-state case in the linear thermoelasticity as well as its finite element approximation is proved. It is known that the convergence of the approximate FEM solution to the exact solution is of the order $O(h)$, assuming that the solution is sufficiently regular.
In the paper the Signorini problem without friction in the linear thermoelasticity for the steady-state case is investigated. The problem discussed is the model geodynamical problem, physical analysis of which is based on the plate tectonic hypothesis and the theory of thermoelasticity. The existence and unicity of the solution of the Signorini problem without friction for the steady-state case in the linear thermoelasticity as well as its finite element approximation is proved. It is known that the convergence of the approximate FEM solution to the exact solution is of the order $O(h)$, assuming that the solution is sufficiently regular.
DOI : 10.21136/AM.1983.104053
Classification : 49J40, 73N99, 73U05, 74A55, 74F05, 74G30, 74H25, 74M15, 74S05, 74S30, 86A60
Keywords: 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 
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Nedoma, Jiří. On a type of Signorini problem without friction in linear thermoelasticity. Applications of Mathematics, Tome 28 (1983) no. 6, pp. 393-407. doi: 10.21136/AM.1983.104053

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