Mixed boundary conditions for a simplified quantum energy-transport model in multi-dimensional domains

2017 ◽  
Vol 15 (3) ◽  
pp. 635-663
Author(s):  
Xiangsheng Xu
Author(s):  
Anastasia N. Kuvshinova

The paper addresses the problem of dynamic identification of mixed boundary conditions for one-dimensional convection-diffusion transport model based on noisy measurements of the function of interest. Using finite difference method the original model with the partial differential equation is replaced with the discrete linear dynamic system with noisy multisensor measurements in which boundary conditions are included as unknown input vector. To solve the problem, the algorithm of simultaneous estimation of the state and input vectors is used. The results of numerical experiments are presented which confirm the practical applicability of the proposed method.


2011 ◽  
Vol 12 (2) ◽  
pp. 1033-1046 ◽  
Author(s):  
Ansgar Jüngel ◽  
Josipa-Pina Milišić

PAMM ◽  
2011 ◽  
Vol 11 (1) ◽  
pp. 691-692
Author(s):  
Elisa Röhrig ◽  
René Pinnau

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