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A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier‐thickener unit
9 references·9 citing·34 second hop
A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier‐thickener unit (2013)A hybrid stochastic Galerkin method for u…Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data (2012)Sparse tensor multi-level Mon…Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws (2012)Adaptive Anisotropic Spectral…Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems (2010)Intrusive Galerkin methods wi…Uncertainty quantification for systems of conservation laws (2008)Uncertainty quantification fo…Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Stochastic finite elements: C…Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Multi-resolution analysis of …Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Arbitrary multi-resolution multi-wavelet-based polynomial chaos expansion for data-driven uncertainty quantification (2022)Arbitrary multi-resolution mu…Multilevel Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random Data (2021)Multilevel Monte Carlo Finite…B-splines on sparse grids for surrogates in uncertainty quantification (2021)B-splines on sparse grids for…Computational uncertainty quantification for some strongly degenerate parabolic convection–diffusion equations (2018)Computational uncertainty qua…Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media (2017)Intrusive uncertainty quantif…Stochastic Galerkin framework with locally 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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 2008Uncertainty quantification for systems of conservation laws177 cited
  • 2012Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data142 cited
  • 2010Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems127 cited
  • 2008Stochastic finite elements: Computational approaches to stochastic partial differential equations98 cited
  • 2012Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws41 cited

Cited by

  • 2021B-splines on sparse grids for surrogates in uncertainty quantification19 cited
  • 2022Arbitrary multi-resolution multi-wavelet-based polynomial chaos expansion for data-driven uncertainty quantification18 cited
  • 2016Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach17 cited
  • 2015A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems15 cited

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  • 2021Multilevel Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random Data14 cited
  • 2016Stochastic Galerkin framework with locally reduced bases for nonlinear two-phase transport in heterogeneous formations14 cited
  • 2017Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media9 cited
  • 2018Computational uncertainty quantification for some strongly degenerate parabolic convection–diffusion equations8 cited
  • 2014Stochastic Modeling for Heterogeneous Two-Phase Flow7 cited