Filtering for the Inverse Problem of Convection–Diffusion Equation with a Point Source

2012 ◽  
Vol 81 (11) ◽  
pp. 114401 ◽  
Author(s):  
Fujihiro Hamba ◽  
Satoshi Abe ◽  
Daisuke Kitazawa ◽  
Shinsuke Kato
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Point Source ◽  
Convection Diffusion ◽  
Convection Diffusion Equation

The Best Perturbation Method for the Parameter Inversion of Two-Dimension Convection-Diffusion Equation

2013 ◽  
Vol 380-384 ◽  
pp. 1143-1146
Author(s):  
Xiang Guo Liu
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Perturbation Method ◽  
Numerical Simulations ◽  
Numerical Solution ◽  
Two Dimensional ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Parameter Inversion ◽  
Parametric Inversion

The paper researches the parametric inversion of the two-dimensional convection-diffusion equation by means of best perturbation method, draw a Numerical Solution for such inverse problem. It is shown by numerical simulations that the method is feasible and effective.

Stability estimate for an inverse problem of the convection-diffusion equation

2020 ◽  
Vol 28 (1) ◽  
pp. 71-92
Author(s):  
Mourad Bellassoued ◽  
Imen Rassas
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Scalar Potential ◽  
Stability Estimate ◽  
Inverse Boundary ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
First Order ◽  
Order Coefficient ◽  
Dirichlet To Neumann Map

AbstractWe consider the inverse boundary value problem for the dynamical steady-state convection-diffusion equation. We prove that the first-order coefficient and the scalar potential are uniquely determined by the Dirichlet-to-Neumann map. More precisely, we show in dimension {n\geq 3} a log-type stability estimate for the inverse problem under consideration. The method is based on reducing our problem to an auxiliary inverse problem and the construction of complex geometrical optics solutions of this problem.

scholarly journals Stability estimate for a partial data inverse problem for the convection-diffusion equation

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Soumen Senapati ◽  
Manmohan Vashisth
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Stability Estimate ◽  
Convection Term ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Gauge Term ◽  
Boundary Measurements ◽  
The Stability ◽  
Density Coefficient

<p style='text-indent:20px;'>In this article, we study the stability in the inverse problem of determining the time-dependent convection term and density coefficient appearing in the convection-diffusion equation, from partial boundary measurements. For dimension <inline-formula><tex-math id="M1">\begin{document}$ n\ge 2 $\end{document}</tex-math></inline-formula>, we show the convection term (modulo the gauge term) admits log-log stability, whereas log-log-log stability estimate is obtained for the density coefficient.</p>

scholarly journals A partial data inverse problem for the convection-diffusion equation

2020 ◽  
Vol 14 (1) ◽  
pp. 53-75
Author(s):  
Suman Kumar Sahoo ◽  
◽  
Manmohan Vashisth ◽  
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Partial Data
Sign in / Sign up

Export Citation Format

Share Document