On the stabilization of singular identification problem of an unknown discontinuous diffusion parameter in elliptic equation

DOI10.1016/J.CAMWA.2021.06.006OpenAlexW3175207375MaRDI QIDQ2047583

Youssef Ouakrim, Youness El Yazidi, Abdellatif Ellabib

Publication date: 20 August 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.06.006

zbMATH Keywords

finite volume methodnonlinear optimizationparameter identificationfinite elements methodduality techniquessingular inverse problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (1)

Convergence analysis of an alternating direction method of multipliers for the identification of nonsmooth diffusion parameters with total variation

Uses Software

• PLCP
• SQPlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inherent identifiability of parameters in elliptic differential equations
• Estimation techniques for distributed parameter systems
• Estimation of surface temperatures from interior measurements using Tikhonov regularization
• Identifying conductivity in electrical impedance tomography with total variation regularization
• Convergence rates for Tikhonov regularization of coefficient identification problems in Laplace-type equations
• A variational approach to an elastic inverse problem
• Variational Analysis in Sobolev andBVSpaces
• Lagrange Multiplier Approach to Variational Problems and Applications
• Optimization with PDE Constraints
• Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems
• Optimization Problems with Perturbations: A Guided Tour
• An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
• Analysis of bounded variation penalty methods for ill-posed problems
• Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization
• H-Convergence and Numerical Schemes for Elliptic Problems
• A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
• On the Finite Element Solution of the Pure Neumann Problem
• Error estimates for non-quadratic regularization and the relation to enhancement
• Numerical optimization. Theoretical and practical aspects. Transl. from the French

This page was built for publication: On the stabilization of singular identification problem of an unknown discontinuous diffusion parameter in elliptic equation