Convection-diffusion transport in disordered structures: Numerical analysis based on the exit-time equation

1995 ◽  
Vol 50 (6) ◽  
pp. 1001-1011 ◽  
Author(s):  
Massimiliano Giona ◽  
Alessandra Adrover ◽  
Alessandro R. Giona
Keyword(s):  
Numerical Analysis ◽  
Exit Time ◽  
Diffusion Transport ◽  
Convection Diffusion ◽  
Disordered Structures

Convenient formulations for convection/diffusion transport

1985 ◽  
Vol 40 (10) ◽  
pp. 1973-1974 ◽  
Author(s):  
C.M. Sliepcevich ◽  
Faruk Civan
Keyword(s):  
Diffusion Transport ◽  
Convection Diffusion

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.

Singularly Perturbed Convection — Diffusion Problems in One Dimension: Bounds on Derivatives

2009 ◽  
Vol 9 (3) ◽  
pp. 281-291
Author(s):  
A. Naughton ◽  
M. Stynes
Keyword(s):  
Numerical Analysis ◽  
A Priori ◽  
Singularly Perturbed ◽  
One Dimension ◽  
Point Boundary ◽  
A Priori Bounds ◽  
Convection Diffusion ◽  
Convection Dominated ◽  
Derivatives Of ◽  
Diffusion Problems

AbstractA convection-dominated singularly perturbed two-point boundary problem is considered. For the numerical analysis of such problems, it is necessary to prove certain a priori bounds on the derivatives of its solution. This paper provides a survey of the ways in which such bounds can be proved, while assessing the feasibility of extending such proofs to convection-dominated partial differential equations, and also introduces a new proof based on a classical finite-difference argument of Brandt.

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