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Extended stochastic FEM for diffusion problems with uncertain material interfaces
16 references·6 citing·26 second hop
Extended stochastic FEM for diffusion problems with uncertain material interfaces (2012)Extended stochastic FEM for diffusion pro…Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Numerical Methods for Stochas…An extended stochastic finite element method for solving stochastic partial differential equations on random domains (2008)An extended stochastic finite…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…A fictitious domain approach to the numerical solution of PDEs in stochastic domains (2007)A fictitious domain approach …On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data (2006)On the construction and analy…Numerical Methods for Differential Equations in Random Domains (2006)Numerical Methods for Differe…Maximum likelihood estimation of stochastic chaos representations from experimental data (2005)Maximum likelihood estimation…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…Uncertainty propagation using Wiener–Haar expansions (2004)Uncertainty propagation using…Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Multi-resolution analysis of …A Stochastic Collocation Algorithm for Uncertainty Analysis (2003)A Stochastic Collocation Algo…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)Solution of stochastic partia…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…A stochastic finite element scheme for solving partial differential equations defined on random domains (2022)A stochastic finite element s…EMBEDDED MULTILEVEL MONTE CARLO FOR UNCERTAINTY QUANTIFICATION IN RANDOM DOMAINS (2021)EMBEDDED MULTILEVEL MONTE CAR…On spectral fuzzy–stochastic FEM for problems involving polymorphic geometrical uncertainties (2019)On spectral fuzzy–stochastic …Fuzzy‐stochastic FEM–based homogenization framework for materials with polymorphic uncertainties in the microstructure (2018)Fuzzy‐stochastic FEM–based ho…Heaviside enriched extended stochastic FEM for problems with uncertain material interfaces (2015)Heaviside enriched extended s…A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis (2014)A Stochastic Wavelet Finite E…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Efficient Collocational Approach for Parametric Uncertainty Analysis (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)The stochastic finite-element method (1980)Stochastic Differential Equations: An Introduction with Applications. 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References

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  • 2005Maximum likelihood estimation of stochastic chaos representations from experimental data

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146 cited
  • 2008An extended stochastic finite element method for solving stochastic partial differential equations on random domains99 cited
  • 2007A fictitious domain approach to the numerical solution of PDEs in stochastic domains84 cited
  • Cited by

    • 2022A stochastic finite element scheme for solving partial differential equations defined on random domains26 cited
    • 2015Heaviside enriched extended stochastic FEM for problems with uncertain material interfaces20 cited
    • 2021EMBEDDED MULTILEVEL MONTE CARLO FOR UNCERTAINTY QUANTIFICATION IN RANDOM DOMAINS18 cited
    • 2018Fuzzy‐stochastic FEM–based homogenization framework for materials with polymorphic uncertainties in the microstructure16 cited
    • 2019On spectral fuzzy–stochastic FEM for problems involving polymorphic geometrical uncertainties15 cited
    • 2014A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis8 cited