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Potential problems with random parameters by the generalized perturbation-based stochastic finite element method
12 references·7 citing·48 second hop
Potential problems with random parameters by the generalized perturbation-based stochastic finite element method (2010)Potential problems with random parameters…Solving elliptic problems with non-Gaussian spatially-dependent random coefficients (2009)Solving elliptic problems wit…Robust design of viscoelastic structures based on stochastic finite element models (2009)Robust design of viscoelastic…Effect of randomness on multi-frequency aeroelastic responses resolved by Unsteady Adaptive Stochastic Finite Elements (2009)Effect of randomness on multi…A reduced-order stochastic finite element approach for design optimization under uncertainty (2009)A reduced-order stochastic fi…Experimental Data Have to Decide Which of the Nonprobabilistic Uncertainty Descriptions—Convex Modeling or Interval Analysis—to Utilize (2008)Experimental Data Have to Dec…A polynomial dimensional decomposition for stochastic computing (2008)A polynomial dimensional deco…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…On the treatment of uncertainties in structural mechanics and analysis (2006)On the treatment of uncertain…Generalized perturbation-based stochastic finite element method in elastostatics (2006)Generalized perturbation-base…Analysis of mean and mean square response of general linear stochastic finite element systems (2006)Analysis of mean and mean squ…A new stochastic approach to transient heat conduction modeling with uncertainty (2003)A new stochastic approach to …Stochastic finite element modelling in linear transient heat transfer (1997)Stochastic finite element mod…Random field of homogeneous and multi-material structures by the smoothed finite element method and Karhunen–Loève expansion (2024)Random field of homogeneous a…Numerical convergence and error analysis for the truncated iterative generalized stochastic perturbation-based finite element method (2023)Numerical convergence and err…Stochastic dynamic stiffness for damped taut membranes (2021)Stochastic dynamic stiffness …On the performance evaluation of stochastic finite elements in linear and nonlinear problems (2020)On the performance evaluation…Statistical Energy Analysis for the Vibro-Acoustic System with Interval Parameters (2019)Statistical Energy Analysis f…Lattice domes reliability by the perturbation-based approaches vs. semi-analytical method (2019)Lattice domes reliability by …Sensitivity, probabilistic and stochastic analysis of the thermo-piezoelectric phenomena in solids by the stochastic perturbation technique (2011)Sensitivity, probabilistic an…The stochastic finite-element method (1980)Random field finite elements (1986)The stochastic finite element method in structural reliability (1988)A multigrid solver for two-dimensional stochastic diffusion equations (2003)Hybrid uncertain analysis for steady-state heat conduction with random and interval parameters (2014)On the dual iterative 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(1954)Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)Adaptive sparse polynomial chaos expansions for global sensitivity analysis based on support vector regression (2017)Stochastic Differential Equations (2003)A method for solving stochastic equations by reduced order models and local approximations (2012)Stochastic representation and dimension reduction for non-Gaussian random fields: review and reflection (2013)Random field representations for stochastic elliptic boundary value problems and statistical inverse problems (2014)General foundations of high‐dimensional model representations (1999)Extended Polynomial Dimensional Decomposition for Arbitrary Probability Distributions (2009)A new reliability-based design optimization framework using isogeometric analysis (2018)Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review (2024)
this work references cited by second hop

References

  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2003A new stochastic approach to transient heat conduction modeling with uncertainty216 cited
  • 2006On the treatment of uncertainties in structural mechanics and analysis184 cited
  • 2006Generalized perturbation-based stochastic finite element method in elastostatics164 cited
  • 2008A polynomial dimensional decomposition for stochastic computing140 cited
  • 1997Stochastic finite element modelling in linear transient heat transfer112 cited
  • 2009Solving elliptic problems with non-Gaussian spatially-dependent random coefficients40 cited
  • 2009Robust design of viscoelastic structures based on stochastic finite element models39 cited
  • 2008Experimental Data Have to Decide Which of the Nonprobabilistic Uncertainty Descriptions—Convex Modeling or Interval Analysis—to Utilize36 cited
  • 2009A reduced-order stochastic finite element approach for design optimization under uncertainty34 cited
  • 2009Effect of randomness on multi-frequency aeroelastic responses resolved by Unsteady Adaptive Stochastic Finite Elements34 cited
  • 2006Analysis of mean and mean square response of general linear stochastic finite element systems30 cited

Cited by

  • 2023Numerical convergence and error analysis for the truncated iterative generalized stochastic perturbation-based finite element method

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18 cited
  • 2019Statistical Energy Analysis for the Vibro-Acoustic System with Interval Parameters18 cited
  • 2020On the performance evaluation of stochastic finite elements in linear and nonlinear problems17 cited
  • 2024Random field of homogeneous and multi-material structures by the smoothed finite element method and Karhunen–Loève expansion16 cited
  • 2019Lattice domes reliability by the perturbation-based approaches vs. semi-analytical method15 cited
  • 2021Stochastic dynamic stiffness for damped taut membranes14 cited
  • 2011Sensitivity, probabilistic and stochastic analysis of the thermo-piezoelectric phenomena in solids by the stochastic perturbation technique13 cited