scholarly journals Dynamic identification of boundary conditions for convection-diffusion transport model subject to noisy measurements

2019 ◽  
Vol 1368 ◽  
pp. 042029
Author(s):  
A V Tsyganov ◽  
Yu V Tsyganova ◽  
A N Kuvshinova
Keyword(s):  
Boundary Conditions ◽  
Transport Model ◽  
Dynamic Identification ◽  
Diffusion Transport ◽  
Convection Diffusion ◽  
Noisy Measurements ◽  
Model Subject

scholarly journals Dynamic identification of boundary conditions for convection-diffusion transport model in the case of noisy measurements

2019 ◽  
Vol 21 (4) ◽  
pp. 469-479
Author(s):  
Anastasia N. Kuvshinova
Keyword(s):  
Boundary Conditions ◽  
Transport Model ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Simultaneous Estimation ◽  
Dynamic Identification ◽  
Diffusion Transport ◽  
One Dimensional ◽  
Convection Diffusion ◽  
Noisy Measurements

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.

scholarly journals Parameter identification algorithm for convection-diffusion transport model

2021 ◽  
Vol 1745 (1) ◽  
pp. 012110
Author(s):  
A N Kuvshinova ◽  
A V Tsyganov ◽  
Yu V Tsyganova ◽  
H R Tapia Garza
Keyword(s):  
Parameter Identification ◽  
Transport Model ◽  
Identification Algorithm ◽  
Diffusion Transport ◽  
Convection Diffusion

scholarly journals An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Li-Bin Liu ◽  
Ying Liang ◽  
Xiaobing Bao ◽  
Honglin Fang
Keyword(s):  
Boundary Conditions ◽  
Grid Method ◽  
Posteriori Error ◽  
Adaptive Grid ◽  
Singularly Perturbed ◽  
Robin Boundary Conditions ◽  
Euler Formula ◽  
Convection Diffusion ◽  
Backward Euler ◽  
Robin Boundary

AbstractA system of singularly perturbed convection-diffusion equations with Robin boundary conditions is considered on the interval $[0,1]$ [ 0 , 1 ] . It is shown that any solution of such a problem can be expressed to a system of first-order singularly perturbed initial value problem, which is discretized by the backward Euler formula on an arbitrary nonuniform mesh. An a posteriori error estimation in maximum norm is derived to design an adaptive grid generation algorithm. Besides, in order to establish the initial values of the original problems, we construct a nonlinear optimization problem, which is solved by the Nelder–Mead simplex method. Numerical results are given to demonstrate the performance of the presented method.

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