Explicit solution to the stochastic system of linear algebraic equations \((\alpha _{1}\boldsymbol{A}_{1} + \alpha _{2}\boldsymbol{A}_{2} +\cdots+ \alpha _{m}\boldsymbol{A}_{m})\boldsymbol{x} = \boldsymbol{b}\)

DOI10.1016/j.cma.2006.02.005zbMath1143.74051OpenAlexW1977822350MaRDI QIDQ2382841

Chen-Feng Li, David R. Owen, Yun Tian Feng

Publication date: 4 October 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.02.005

zbMATH Keywords

stochastic finite element methodjoint diagonalizationaverage eigen-structure

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Random structure in solid mechanics (74E35) Direct numerical methods for linear systems and matrix inversion (65F05)

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Cites Work

• Random matrix theory for modeling uncertainties in computational mechanics
• Improving the computational efficiency in finite element analysis of shells with uncertain properties
• Stochastic finite element modelling in linear transient heat transfer
• Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation
• Iterative solution of systems of linear equations arising in the context of stochastic finite elements
• Numerical solution of spectral stochastic finite element systems
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Multiple Wiener integral
• Random field finite elements
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• Solution of stochastic partial differential equations using Galerkin finite element techniques
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