Two-dimensional inverse heat conduction problem in a quarter plane: integral approach
From MaRDI portal
Publication:2053300
DOI10.1007/s12190-019-01297-4zbMath1479.35939OpenAlexW2982124137WikidataQ126989616 ScholiaQ126989616MaRDI QIDQ2053300
Anis Bel Hadj Hassin, Lahcène Chorfi
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-019-01297-4
heat equationinverse problemintegral equationsTikhonov regularizationmollification of the noised data
Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Linear operators and ill-posed problems, regularization (47A52)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary integral operators for the heat equation
- Application of the boundary element method to inverse heat conduction problems
- A mollification method for ill-posed problems
- On the numerical solution of direct and inverse problems for the heat equation in a semi-infinite region
- Residual-minimization least-squares method for inverse heat conduction
- Numerical experiments in 2-D IHCP on bounded domains. I: The ``interior cube problem
- Boundary temperature reconstruction in an inverse heat conduction problem using boundary integral equation method
- Regularization tools version \(4.0\) for matlab \(7.3\)
- Numerical solution to a two-dimensional inverse heat conduction problem
- A mollified space-marching finite-different algorithm for the two-dimensional inverse heat conduction problem with slab symmetry
- A boundary integral method for solving inverse heat conduction problem
- Numerical solution of an inverse problem connected with continuous casting of steel
- Surface mounted heat flux sensors
- A numerical method for the solution of two‐dimensional inverse heat conduction problems
- Boundary integral solution of the two-dimensional heat equation
- Wavelet and Fourier Methods for Solving the Sideways Heat Equation
- Approximate inverse for a one-dimensional inverse heat conduction problem
- Regularization strategies for a two-dimensional inverse heat conduction problem
- Numerical solution of the abel integral equation
- An introduction to the mathematical theory of inverse problems
