Identification of nonlinear heat conduction laws
-
Herbert Egger
,
Jan-Frederik Pietschmann
Abstract
We consider the identification of nonlinear heat conduction laws in stationary and instationary heat transfer problems. Only a single additional measurement of the temperature on a curve on the boundary is required to determine the unknown parameter function on the range of observed temperatures. We first present a new proof of Cannon's uniqueness result for the stationary case, which allows us to derive a corresponding stability estimate, and then extend our argument to instationary problems which are close to steady state.
Funding source: DFG
Award Identifier / Grant number: IRTG 1529
Funding source: DFG
Award Identifier / Grant number: GSC 233
Funding source: DFG
Award Identifier / Grant number: TRR 154
Funding source: DFG
Award Identifier / Grant number: 1073/1-1
Funding source: Daimler and Benz Stiftung
Award Identifier / Grant number: 32-09/12
Funding source: ERC
Award Identifier / Grant number: EU FP 7 – ERC Consolidator Grant 615216 LifeInverse
© 2015 by De Gruyter
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- Identification of nonlinear heat conduction laws
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Articles in the same Issue
- Frontmatter
- Identification of nonlinear heat conduction laws
- Numerical solution of the multidimensional Gelfand–Levitan equation
- On generalized cross validation for stable parameter selection in disease models
- An optimal regularization method for convolution equations on the sourcewise represented set
- Multilevel Jacobi and Gauss–Seidel type iteration methods for solving ill-posed integral equations
- Estimation of distributed parameters in permittivity models of composite dielectric materials using reflectance
- Asymptotic method for finding the coefficient of hydraulic resistance in lifting of fluid on tubing
- Identification of biological models described by systems of nonlinear differential equations
- Statistical inversion in electrical impedance tomography using mixed total variation and non-convex ℓp regularization prior
- Reconstruction of a convolution operator from the right-hand side on the semiaxis
- International workshop “Inverse Problems and Integral Geometry” Immanuel Kant Baltic Federal University, Kaliningrad, Russia October 13–16, 2014
