Full-Scale Bounds Estimation for the Nonlinear Transient Heat Transfer Problems with Interval Uncertainties

DOI10.1142/S0219876221500262OpenAlexW3127804959MaRDI QIDQ3383753

Ruifei Peng, Yanni Xue, Hai-Tian Yang

Publication date: 16 December 2021

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876221500262

zbMATH Keywords

finite element methodinterval uncertaintyTaylor series expansionnonlinear transient heat transferfull scale bounds estimationsparse grid surrogate

Mathematics Subject Classification ID

Numerical analysis (65-XX) Classical thermodynamics, heat transfer (80-XX)

Related Items (1)

Uncertainty Propagation Analysis of Fuzzy Uncertain Structures Involving Imprecise Membership Functions

Cites Work

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• Fuzzy finite difference method for heat conduction analysis with uncertain parameters
• Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient
• Static response bounds of Timoshenko beams with spatially varying interval uncertainties
• A method for numerical integration on an automatic computer
• A survey of non-probabilistic uncertainty treatment in finite element analysis
• Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model
• Non-probabilistic polygonal convex set model for structural uncertainty quantification
• Vertex method for computing functions of fuzzy variables
• The transformation method for the simulation and analysis of systems with uncertain parameters
• A novel interval finite element method based on the improved interval analysis
• Computing expensive multivariate functions of fuzzy numbers using sparse grids
• Algorithm 847
• Interval static displacement analysis for structures with interval parameters
• Comparison between non-probabilistic interval analysis method and probabilistic approach in static response problem of structures with uncertain-but-bounded parameters
• Application of Interval Fields for Uncertainty Modeling in a Geohydrological Case

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