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Stochastic finite element modelling in linear transient heat transfer

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References

1986Random field finite elements645 cited
1980The stochastic finite-element method641 cited
1988The stochastic finite element method in structural reliability519 cited
1983Stochastic Finite Element Analysis of Simple Beams439 cited
1987The stochastic finite element method in structural reliability393 cited
1987Basis random variables in finite element analysis125 cited

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2016A modified stochastic perturbation method for stochastic hyperbolic heat conduction problems43 cited
2015Interval analysis of steady-state heat convection–diffusion problem with uncertain-but-bounded parameters42 cited
1999Stochastic finite element modeling of transient heat transfer in layered composites41 cited
2007A Fourier–Karhunen–Loève discretization scheme for stationary random material properties in SFEM41 cited

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2001Stochastic finite element method homogenization of heat conduction problem in fiber composites35 cited

2019A gPC-intrusive Monte-Carlo scheme for the resolution of the uncertain linear Boltzmann equation28 cited

2015Uncertainty analysis for heat convection-diffusion problem with large uncertain-but-bounded parameters26 cited

2014Improved numerical prediction and reliability-based optimization of transient heat conduction problem with interval parameters26 cited

2020Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme25 cited

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2010Potential problems with random parameters by the generalized perturbation-based stochastic finite element method25 cited

2006Fourier representation of random media fields in stochastic finite element modelling22 cited