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Verification of stochastic models in uncertain environments using the constitutive relation error method
6 references·3 citing·31 second hop
Verification of stochastic models in uncertain environments using the constitutive relation error method (2006)Verification of stochastic models in unce…Numerical Methods and Smolyak Quadrature for Nonlinear Stochastic Partial Differential Equations (2003)Numerical Methods and Smolyak…A multigrid solver for two-dimensional stochastic diffusion equations (2003)A multigrid solver for two-di…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…Finite elements for stochastic media problems (1999)Finite elements for stochasti…A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Robust goal-oriented error estimation based on the constitutive relation error for stochastic problems (2012)Robust goal-oriented error es…Error bounds for the reliability index in finite element reliability analysis (2011)Error bounds for the reliabil…Error estimation in a stochastic finite element method in electrokinetics (2009)Error estimation in a stochas…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Differential Equations (2003)QUANTIFYING UNCERTAINTY: MODERN COMPUTATIONAL REPRESENTATION OF PROBABILITY AND APPLICATIONS (2007)Sampling-free linear Bayesian update of polynomial chaos representations (2012)Numerical solution of stochastic differential equations (2016)The stochastic finite-element method (1980)Stochastic Differential Equations: An Introduction with Applications. (1987)Uncertainty propagation using Wiener–Haar expansions (2004)Sparse grid collocation schemes for stochastic natural convection problems (2007)A non-adapted sparse approximation of PDEs with stochastic inputs (2011)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)The stochastic finite element method: Past, present and future (2008)Exact and Invariant Second-Moment Code Format (1974)Structural Reliability Methods (1996)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Stochastic Projection Method for Fluid Flow (2001)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)A Stochastic Projection Method for Fluid Flow (2002)Efficient numerical strategies for spectral stochastic finite element models (2005)Uncertainty quantification and apportionment in air quality models using the polynomial chaos method (2009)Adaptive Polynomial Chaos for Gas Turbine Compression Systems Performance Analysis (2010)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Validation of structural dynamics models containing uncertainties (2005)Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed (2010)Polynomial Chaos expansion for subsurface flows with uncertain soil parameters (2013)
this work references cited by second hop

References

  • 1997A state-of-the-art report on computational stochastic mechanics424 cited
  • 2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 1999Finite elements for stochastic media problems89 cited
  • 2003A multigrid solver for two-dimensional stochastic diffusion equations74 cited
  • 2003Numerical Methods and Smolyak Quadrature for Nonlinear Stochastic Partial Differential Equations61 cited

Cited by

  • 2012Robust goal-oriented error estimation based on the constitutive relation error for stochastic problems18 cited
  • 2011Error bounds for the reliability index in finite element reliability analysis15 cited
  • 2009Error estimation in a stochastic finite element method in electrokinetics14 cited

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