Landweber–Kaczmarz for parameter identification in time-dependent inverse problems: all-at-once versus reduced version

DOI10.1088/1361-6420/aaf9baOpenAlexW3098713098WikidataQ128707537 ScholiaQ128707537MaRDI QIDQ4625213

Tram Thi Ngoc Nguyen

Publication date: 22 February 2019

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

Full work available at URL: https://arxiv.org/abs/1901.10715

zbMATH Keywords

parameter identificationiterative regularizationKaczmarz methodnonlinear source identificationtime dependent inverse problems

Mathematics Subject Classification ID

Numerical analysis (65-XX) Systems theory; control (93-XX)

Related Items (8)

Discretization of parameter identification in PDEs using neural networks ⋮ Learning-informed parameter identification in nonlinear time-dependent PDEs ⋮ Inverse problems with inexact forward operator: iterative regularization and application in dynamic imaging ⋮ Computational inverse problems for partial differential equations. Abstracts from the workshop held December 6--12, 2020 (hybrid meeting) ⋮ The Tangential Cone Condition for Some Coefficient Identification Model Problems in Parabolic PDEs ⋮ Parameter Identification for the Landau–Lifshitz–Gilbert Equation in Magnetic Particle Imaging ⋮ On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in magnetic particle imaging ⋮ A model reference adaptive system approach for nonlinear online parameter identification

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations
• Iterative regularization methods for nonlinear ill-posed problems
• The Ginzburg-Landau equations of superconductivity and the one-phase Stefan problem
• Travelling waves in nonlinear diffusion-convection reaction
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• On a backward parabolic problem with local Lipschitz source
• Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications
• Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis
• Integration based profile likelihood calculation for PDE constrained parameter estimation problems
• Online parameter identification in time-dependent differential equations as a non-linear inverse problem
• Online parameter identification without Ricatti-type equations in a class of time-dependent partial differential equations: an extended state approach with potential to partial observations
• Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source
• All-at-once versus reduced iterative methods for time dependent inverse problems
• Nonlinear partial differential equations with applications
• An introduction to the mathematical theory of inverse problems
• Inverse problems for partial differential equations

This page was built for publication: Landweber–Kaczmarz for parameter identification in time-dependent inverse problems: all-at-once versus reduced version