An equation error method to recover diffusion from the distributed observation

DOI10.1088/0266-5611/13/4/009zbMath0882.35134OpenAlexW2054860673MaRDI QIDQ4358872

Tommi Kärkkäinen

Publication date: 13 November 1997

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/13/4/009

zbMATH Keywords

stability estimateequation error approachfast numerical algorithmdiffusion coefficient in a general elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (14)

Identification problems with given material interfaces ⋮ An equation error approach for the elasticity imaging inverse problem for predicting tumor location ⋮ Identification of a Parameter in Fourth-Order Partial Differential Equations by an Equation Error Approach ⋮ A linear regularization method for a nonlinear parameter identification problem ⋮ On uniqueness and stable estimation of multiple parameters in the Cahn–Hilliard equation ⋮ Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems ⋮ Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters ⋮ Identification of alterations in the Jacobian of biochemical reaction networks from steady state covariance data at two conditions ⋮ Denoising of smooth images using \(L^{1}\)-fitting ⋮ The Recovery of an Anisotropic Conductivity in Groundwater Modelling ⋮ An Equation Error Approach for the Identification of Elastic Parameters in Beams and Plates with $$H_1$$ Regularization ⋮ Contingent derivatives and regularization for noncoercive inverse problems ⋮ Discretized Tikhonov-Phillips regularization for a naturally linearized parameter identification problem ⋮ Unnamed Item

This page was built for publication: An equation error method to recover diffusion from the distributed observation