6 papers
Conforming and Nonconforming Finite Element Methods for Biharmonic Inverse Source Problem
Devika Shylaja, M. T. Nair
This paper deals with the numerical approximation of the biharmonic inverse source problem in an abstract setting in which the measurement data is finite-dimensional. This unified…
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…
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…
Regularization of linear ill-posed problems involving multiplication operators
Peter Mathé, M. Thamban Nair, Bernd Hofmann
We study regularization of ill-posed equations involving multiplication operators when the multiplier function is positive almost everywhere and zero is an accumulation point of th…
On truncated spectral regularization for an ill-posed evolution equation
M. Thamban Nair
In this note we consider the {\it spectral truncation} as the regularization for an ill-posed non-homogeneous parabolic final value problem, and obtain error estimates under a genr…
A Discrete Regularization Method for Ill-Posed Operaror Equations
M Thamban Nair
Discrete regularization methods are often applied for obtaining stable approximate solutions for ill-posed operator equations , where is a bounded operator betwee…