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A hybrid collocation/Galerkin scheme for convective heat transfer problems with stochastic boundary conditions
13 references·7 citing·31 second hop
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited
  • 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
  • 2007Probabilistic Collocation: An Efficient Non-Intrusive Approach for Arbitrarily Distributed Parametric Uncertainties168 cited
  • 2000Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems105 cited
  • 2006Stochastic analysis of transport in tubes with rough walls104 cited
  • 1998Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation61 cited
  • 2005Using stochastic analysis to capture unstable equilibrium in natural convection35 cited

Cited by

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2019
A painless intrusive polynomial chaos method with RANS-based applications
18 cited
  • 2014Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations15 cited
  • 2010Treatment of uncertain material interfaces in compressible flows14 cited
  • 2016Fast Analysis of Unsteady Wing Aerodynamics via Stochastic Models12 cited
  • 2016A Flexible Uncertainty Propagation Framework for General Multiphysics Systems11 cited
  • 2013Efficient computation of unsteady flow in complex river systems with uncertain inputs10 cited
  • 2014Uncertainty Quantification, Rare Events, and Mission Optimization: Stochastic Variations of Metal Temperature During a Transient9 cited