Numerical method for solving inverse source problem for Poisson equation

DOI10.1142/S1793557121501734zbMath1475.65023OpenAlexW3115285881MaRDI QIDQ5013416

Abir Benyoucef, Leïla Alem, Lahcène Chorfi

Publication date: 30 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121501734

zbMATH Keywords

Tikhonov regularizationill-posed problemsinverse source problem

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Uses Software

• Regularization tools

Cites Work

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• A new reconstruction method for the inverse potential problem
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• A numerical method for inverse source problems for Poisson and Helmholtz equations
• Fast Algorithms for Source Identification Problems with Elliptic PDE Constraints
• A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
• Some remarks on the problem of source identification from boundary measurements
• An inverse source problem in potential analysis
• An introduction to the mathematical theory of inverse problems
• Inverse problems for partial differential equations

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