Identifying an Unknown Source in the Poisson Equation with a Super Order Regularization Method
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Publication:4985123
DOI10.1142/S0219876219500300OpenAlexW2937586644MaRDI QIDQ4985123
Duan Mei, Zhi Li, Zhen-Yu Zhao, Ze-Hong Meng, Bao Qin Chen
Publication date: 22 April 2021
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219876219500300
discrepancy principleill-posed problemTikhonov regularization methodunknown sourcesuper order regularization
Related Items (4)
Boundary condition limitation in an inverse source problem and its overcoming ⋮ A modified quasi-reversibility method for inverse source problem of Poisson equation ⋮ A numerical differentiation method based on Legendre expansion with super order Tikhonov regularization ⋮ Inverse Estimation of Cooling Heat Flux in Spray Cooling of Hot Surface Based on Dual-Phase-Lag Model
Uses Software
Cites Work
- 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
- A meshless method for solving an inverse spacewise-dependent heat source problem
- Determination of the unknown sources in the heat-conduction equation
- Conditional stability in determination of force terms of heat equations in a rectangle
- Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
- Identifying an unknown source in the Poisson equation by the method of Tikhonov regularization in Hilbert scales
- Source term identification in 1-D IHCP
- Numerical differentiation by a Fourier extension method with super-order regularization
- Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation
- The modified regularization method for identifying the unknown source on Poisson equation
- Inverse source problem and active shielding for composite domains
- 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
- DYNAMIC LOAD IDENTIFICATION FOR UNCERTAIN STRUCTURES BASED ON INTERVAL ANALYSIS AND REGULARIZATION METHOD
- A new improved regularization method for dynamic load identification
- Uniqueness and stability of 3D heat sources
- Regularization in Hilbert scales under general smoothing conditions
- Structural identification of an unknown source term in a heat equation
- A sequential method of solving inverse natural convection problems
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Conditional stability in determining a heat source
- Identification of source locations in two-dimensional heat equations
- An introduction to the mathematical theory of inverse problems
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