A posteriori regularization parameter choice rule for truncation method for identifying the unknown source of the Poisson equation

DOI10.1155/2013/590737zbMath1300.65081OpenAlexW2169921145WikidataQ58919870 ScholiaQ58919870MaRDI QIDQ457886

Dun-Gang Li, Xiao-Xiao Li

Publication date: 30 September 2014

Published in: International Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/590737

zbMATH Keywords

stabilityconvergenceinverse problemregularizationPoisson equationnumerical resultparameter choice

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (2)

Reconstruction of the electric field of the Helmholtz equation in three dimensions ⋮ The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods

Cites Work

• Unnamed Item
• Unnamed Item
• The method of fundamental solutions for the inverse heat source problem
• The truncation method for identifying an unknown source in the Poisson equation
• Fourier regularization method of a sideways heat equation for determining surface heat flux
• Fourier truncation method for high order numerical derivatives
• Fourier regularization for a backward heat equation
• A meshless method for solving an inverse spacewise-dependent heat source problem
• Source term identification in 1-D IHCP
• The modified regularization method for identifying the unknown source on Poisson equation
• Two regularization methods for a Cauchy problem for the Laplace equation
• Data compatibility and conditional stability for an inverse source problem in the heat equation
• The boundary-element method for the determination of a heat source dependent on one variable
• Structural identification of an unknown source term in a heat equation
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Approximate solution of a Cauchy problem for the Helmholtz equation
• An introduction to the mathematical theory of inverse problems

This page was built for publication: A posteriori regularization parameter choice rule for truncation method for identifying the unknown source of the Poisson equation