Inversion of Robin coefficient by a spectral stochastic finite element approach
نویسندگان
چکیده
منابع مشابه
Inversion of Robin coefficient by a spectral stochastic finite element approach
This paper investigates a variational approach to the nonlinear stochastic inverse problem of probabilistically calibrating the Robin coefficient from boundary measurements for the steady-state heat conduction. The problem is formulated into an optimization problem, and mathematical properties relevant to its numerical computations are investigated. The spectral stochastic finite element method...
متن کاملA hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems
Article history: Received 3 December 2012 Received in revised form 12 November 2013 Accepted 18 November 2013 Available online 7 December 2013
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Based on a new a posteriori error estimator, an adaptive finite element method is proposed for recovering the Robin coefficient involved in a diffusion system from some boundary measurement. The a posteriori error estimator can not be derived for this ill-posed nonlinear inverse problem as it was done for the existing a posteriori error estimators for direct problems. Instead, we shall derive t...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2008
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2007.11.042