A New Regularization Method for a Parameter Identification Problem in a Non-linear Partial Differential Equation
DOI10.4208/jpde.v36.n2.3zbMath1524.35760arXiv2002.09848OpenAlexW4382404641MaRDI QIDQ6172564
M. Thamban Nair, Samprita Das Roy
Publication date: 19 July 2023
Published in: Journal of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09848
Flows in porous media; filtration; seepage (76S05) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Cites Work
- Determination of the unknown coefficient \(k(u)\) in the equation \(\nabla\cdot k(u)\nabla u = 0\) from overspecified boundary data
- Identification of a Temperature Dependent Heat Conductivity from Single Boundary Measurements
- Numerical identification of a nonlinear diffusion law via regularization in Hilbert scales
- The Mathematical Theory of Finite Element Methods
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