Article
Licensed
Unlicensed
Requires Authentication
Satisfier function in Ritz–Galerkin method for the identification of a time-dependent diffusivity
-
S. A. Yousefi
,
Daniel Lesnic
Published/Copyright:
December 14, 2012
Abstract.
The problem of recovering a
time-dependent coefficient in a parabolic partial differential
equation has attracted considerable attention in the classical
literature on inverse heat conduction problems. In this article, the Ritz–Galerkin method with satisfier
function is utilized to solve the inverse problems of identifying the
temperature 
and the unknown diffusion coefficient 
in the one-dimensional heat equation from various additional information. Numerical examples are presented and discussed.
Received: 2012-03-30
Published Online: 2012-12-14
Published in Print: 2012-12-01
© 2012 by Walter de Gruyter Berlin Boston
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Masthead
- Extra-optimal methods for solving ill-posed problems
- Regularization for ill-posed parabolic evolution problems
- Satisfier function in Ritz–Galerkin method for the identification of a time-dependent diffusivity
- On some identification problem for source function to one semievolutionary system
- Regularization of backward parabolic equations in Banach spaces
- On the existence of global saturation for spectral regularization methods with optimal qualification
- Inverse determination of unsteady temperatures and heat fluxes on inaccessible boundaries
- Well-posedness of the Cauchy problem to a nonlinear magnetoelastic system in 1-D periodic media
- A family of rules for the choice of the regularization parameter in the Lavrentiev method in the case of rough estimate of the noise level of the data
- Inverse problems for second-order differential pencils with Dirichlet boundary conditions
Articles in the same Issue
- Masthead
- Extra-optimal methods for solving ill-posed problems
- Regularization for ill-posed parabolic evolution problems
- Satisfier function in Ritz–Galerkin method for the identification of a time-dependent diffusivity
- On some identification problem for source function to one semievolutionary system
- Regularization of backward parabolic equations in Banach spaces
- On the existence of global saturation for spectral regularization methods with optimal qualification
- Inverse determination of unsteady temperatures and heat fluxes on inaccessible boundaries
- Well-posedness of the Cauchy problem to a nonlinear magnetoelastic system in 1-D periodic media
- A family of rules for the choice of the regularization parameter in the Lavrentiev method in the case of rough estimate of the noise level of the data
- Inverse problems for second-order differential pencils with Dirichlet boundary conditions
