A robust numerical scheme for the simulation of nonlinear convection–diffusion–reaction equation

2019 ◽  
Vol 20 (5) ◽  
pp. 347-357
Author(s):  
V.S. Aswin ◽  
Ashish Awasthi
Keyword(s):  
Numerical Scheme ◽  
Diffusion Reaction ◽  
Reaction Equation ◽  
Nonlinear Convection ◽  
Convection Diffusion

Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation

2018 ◽  
Vol 26 (6) ◽  
pp. 821-833 ◽  
Author(s):  
Roman V. Brizitskii ◽  
Zhanna Y. Saritskaya
Keyword(s):  
Boundary Value ◽  
Diffusion Reaction ◽  
Stability Estimates ◽  
Coefficient Problem ◽  
Reaction Equation ◽  
Nonlinear Convection ◽  
Inverse Coefficient Problem ◽  
Convection Diffusion ◽  
Reaction Coefficient ◽  
Inverse Coefficient

AbstractThe inverse coefficient problem for the nonlinear convection-diffusion-reaction equation is considered. A velocity vector and a mass-transfer coefficient are considered as the unknown coefficients and are recovered with the help of the additional information about the boundary value problem’s solution. The inverse coefficient problem is reduced to a two-parameter problem of multiplicative control, the solvability of which is proved in a general form. For a cubic reaction coefficient the local stability estimates of the control problem’s solutions are obtained regarding to a rather small perturbation of either the cost functional or the specified functions of the boundary value problem.

Sign in / Sign up

Export Citation Format

Share Document