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Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations Part B: Accelerated Monte Carlo Sampling with Local PC Expansions
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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics769 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2011Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients490 cited
  • 2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
  • 2004Finite elements for elliptic problems with stochastic coefficients364 cited
  • 2010Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs306 cited
  • 2011Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients296 cited
  • 2006Uncertainty propagation in CFD using polynomial chaos decomposition254 cited
  • 1996Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation206 cited
  • 2012ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS136 cited
  • 2003A multigrid solver for two-dimensional stochastic diffusion equations

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74 cited
  • 2013Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients64 cited
  • 2015Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs39 cited
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