A solution technique for random and nonlinear inverse heat conduction problems

DOI10.1016/0378-4754(91)90023-VzbMath0746.65104MaRDI QIDQ1814092

Riccardo Riganti

Publication date: 25 June 1992

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

numerical examplesnonlinear heat equationfinite-elementHermite expansionInverse problemsreconstruction of temperaturereconstruction of the heat transfer coefficient

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Probabilistic methods, stochastic differential equations (65C99) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (1)

Inverse estimation of location of internal heat source in conduction

Cites Work

• Some stability estimates for a heat source in terms of overspecified data in the 3-D heat equation
• Random heat equation: Solutions by the stochastic adaptive interpolation method
• On the probability density of random fields in continuum mechanics
• Introduction
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