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math.AP2020
Identification of matrix diffusion coefficients in a parabolic PDE
Subhankar Mondal, M. Thamban Nair
We consider an inverse problem of identifying the diffusion coefficient in matrix form in a parabolic PDE. In 2006, Cao and Pereverzev, used a \textit{natural linearisation} method…
math.NA2020
A new regularization method for a parameter identification problem in a non-linear partial differential equation
M Thamban Nair, Samprita Das Roy
We consider a parameter identification problem related to a quasi-linear elliptic Neumann boundary value problem involving a parameter function and the solution $u(\cdot…