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Iterative methods for an inverse heat conduction problem
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G. Bastay
Published/Copyright:
September 7, 2013
Abstract
- We consider the problem of reconstruction of the temperature from measurements of the temperature and heat flux on a part of the boundary and present iterative methods for solving this problem. The characteristic feature of the methods is the fact that in each iteration step, well-posed problems for the same equation are solved. The regularizing character of the methods comes from suitable choice of boundary conditions. This fact allows one to use standard numerical packages. Some numerical experiments are given.
Published Online: 2013-09-07
Published in Print: 2001-08
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Contents
- Carleman’s formulas for the Laplace and Poisson equations with operator coefficients
- On local solvability of inverse dissipative scattering problems
- Sourcewise representation of solutions to nonlinear operator equations in a Banach space and convergence rate estimates for a regularized Newton’s method
- Iterative methods for an inverse heat conduction problem
- Identification of a special class of memory kernels in one-dimensional heat flow
- Nonlinear inverse problems for elliptic equations
- Inverse problem for interior spectral data of the Sturm – Liouville operator
Articles in the same Issue
- Contents
- Carleman’s formulas for the Laplace and Poisson equations with operator coefficients
- On local solvability of inverse dissipative scattering problems
- Sourcewise representation of solutions to nonlinear operator equations in a Banach space and convergence rate estimates for a regularized Newton’s method
- Iterative methods for an inverse heat conduction problem
- Identification of a special class of memory kernels in one-dimensional heat flow
- Nonlinear inverse problems for elliptic equations
- Inverse problem for interior spectral data of the Sturm – Liouville operator
