A method for identifying a spacewise-dependent heat source under stochastic noise interference

DOI10.1080/17415970903233960zbMath1188.65130OpenAlexW1985801356MaRDI QIDQ5852179

B. Tomas Johansson, Mihaela Pricop

Publication date: 26 January 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970903233960

zbMATH Keywords

inverse problemfinite element methodnumerical experimentsTikhonov regularizationstochastic noiseparabolic heat equation

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (1)

Regularization of the backward stochastic heat conduction problem

Cites Work

• Unnamed Item
• Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
• The approximation of solutions to the backwards heat equation in a nonhomogeneous medium
• Asymptotic behavior of bandwidth selected by the cross-validation method for local polynomial fitting
• Determination of a spacewise dependent heat source
• On variance estimation in nonparametric regression
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications
• A variational method for identifying a spacewise-dependent heat source
• Galerkin Finite Element Methods for Parabolic Problems
• Determination of an Unknown Heat Source from Overspecified Boundary Data
• Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise
• An iterative boundary element method for solving the one-dimensional backward heat conduction problem

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