Rothe time-discretization method for a nonlocal problem arising in thermoelasticity

Nabil Merazga and Abdelfatah Bouziani

International Journal of Stochastic Analysis, 2005, vol. 2005, 1-16

Abstract:

We investigate a model parabolic mixed problem with purely boundary integral conditions arising in the context of thermoelasticity. Using the Rothe method which is based on a semidiscretization of the given problem with respect to the time variable, the questions of existence, uniqueness, and continuous dependence upon data of a weak solution are proved. Moreover, we establish convergence and derive an error estimate for a semidiscrete approximation.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:814938

DOI: 10.1155/JAMSA.2005.13

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