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galerkin's method

European Journal of Applied Mathematics (1)

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Existence and uniqueness of a thermoelastic problem with variable parameters
P. BARRAL, M. C. NAYA-RIVEIRO, P. QUINTELA
Journal:

European Journal of Applied Mathematics / Volume 26 / Issue 4 / August 2015

Published online by Cambridge University Press:

04 May 2015, pp. 497-520
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The aim of this article is to study the existence and uniqueness of solution for a quasistatic fully coupled thermoelastic problem arising from some metallurgical processes. We consider mixed boundary conditions for both submodels, and a Robin boundary condition for the thermal one. Furthermore, the reference temperature, the thermal conductivity and the Lamé's parameters are assumed to depend on the material point.