A unified method for the response analysis of interval/random variable models of acoustic fields with uncertain-but-bounded parameters

DOI10.1002/NME.5469zbMATH Open1548.65346MaRDI QIDQ6557412

Shengwen Yin, Hui Yin, Dejie Yu, Baizhan Xia

Publication date: 18 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

acoustic fieldinterval modeluncertain-but-bounded parametersGegenbauer series expansionbounded hybrid uncertain modelbounded random model

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• Hybrid uncertain analysis of acoustic field with interval random parameters
• Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations
• The reliability analysis of probabilistic and interval hybrid structural system
• The stochastic finite element method: past, present and future
• A survey of non-probabilistic uncertainty treatment in finite element analysis
• Interval finite element analysis using interval factor method
• The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem
• Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
• Interval analysis: Theory and applications
• Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters
• An interval random perturbation method for structural-acoustic system with hybrid uncertain parameters
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• The Stochastic Perturbation Method for Computational Mechanics
• The Homogeneous Chaos

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