SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method
16 references·10 citing·39 second hop
A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method (2015)A Modified Computational Scheme for the S…The Stochastic Perturbation Method for Computational Mechanics (2013)The Stochastic Perturbation M…Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters (2012)Modified sub-interval perturb…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…A polynomial dimensional decomposition for stochastic computing (2008)A polynomial dimensional deco…Sparse grid collocation schemes for stochastic natural convection problems (2007)Sparse grid collocation schem…Generalized perturbation-based stochastic finite element method in elastostatics (2006)Generalized perturbation-base…Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability density evolution…Modal approaches for the stochastic finite element analysis of structures with material and geometric uncertainties (2003)Modal approaches for the stoc…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters (2002)A new approach for the stocha…Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)Solution of stochastic partia…Accurate and highly efficient algorithms for structural stationary/non-stationary random responses (2001)Accurate and highly efficient…Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation (2000)Neumann dynamic stochastic fi…Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation (1999)Parallel solution methods for…The stochastic finite element method: basic perturbation technique and computer implementation (1993)The stochastic finite element…Random field finite elements (1986)Random field finite elementsA new discrepancy for sample generation in stochastic response analyses of aerospace problems with uncertain parameters (2024)A new discrepancy for sample …Uncertainty analysis of the control rod drop based on the adaptive collocation stochastic perturbation method (2023)Uncertainty analysis of the c…Numerical convergence and error analysis for the truncated iterative generalized stochastic perturbation-based finite element method (2023)Numerical convergence and err…An adaptive divided-difference perturbation method for solving stochastic problems (2023)An adaptive divided-differenc…A high-performance calculation scheme for stochastic dynamic problems (2022)A high-performance calculatio…An improved response function based stochastic meshless method for problems in elasto-statics (2020)An improved response function…An efficient forward propagation of multiple random fields using a stochastic Galerkin scaled boundary finite element method (2020)An efficient forward propagat…A Non-Intrusive Stochastic Isogeometric Analysis of Functionally Graded Plates with Material Uncertainty (2020)A Non-Intrusive Stochastic Is…Stochastic Vibration Analysis of Functionally Graded Plates with Material Randomness Using Cell-Based Smoothed Discrete Shear Gap Method (2018)Stochastic Vibration Analysis…Projection methods for stochastic dynamic systems: A frequency domain approach (2018)Projection methods for stocha…The stochastic finite-element method (1980)Neumann Expansion for Stochastic Finite Element Analysis (1988)A state-of-the-art report on computational stochastic mechanics (1997)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Stochastic Finite Elements: A Spectral Approach (1991)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Stochastic Differential Equations: An Introduction with Applications. (1987)Uncertainty propagation using Wiener–Haar expansions (2004)A non-adapted sparse approximation of PDEs with stochastic inputs (2011)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Stochastic finite element methods for partial differential equations with random input data (2014)Random Fields: Analysis and Synthesis (1983)Kriging-based approximate stochastic homogenization analysis for composite materials (2008)Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches (2009)A review on stochastic multiscale analysis for FRP composite structures (2022)Probabilistic Theory of Structural Dynamics (1976)A 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 univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)The effect of material and thickness variability on the buckling load of shells with random initial imperfections (2004)Random vibration analysis of structures by a time-domain explicit formulation method (2014)Benchmark solutions of stationary random vibration for rectangular thin plate based on discrete analytical method (2017)An efficient method for parametric uncertainty analysis of numerical geophysical models (1997)Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)Time-variant reliability assessment for multiple failure modes and temporal parameters (2018)An efficient Kriging based method for time-dependent reliability based robust design optimization via evolutionary algorithm (2020)
this work references cited by second hop

References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2008The stochastic finite element method: Past, present and future999 cited
  • 1986Random field finite elements645 cited
  • 2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 1993The stochastic finite element method: basic perturbation technique and computer implementation400 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
  • 2013The Stochastic Perturbation Method for Computational Mechanics266 cited
  • 2001Accurate and highly efficient algorithms for structural stationary/non-stationary random responses171 cited
  • 2006Generalized perturbation-based stochastic finite element method in elastostatics164 cited
  • 2008A polynomial dimensional decomposition for stochastic computing140 cited
  • 2002A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters138 cited
  • 1999Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation119 cited
  • 2012Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

106 cited
  • 2003Modal approaches for the stochastic finite element analysis of structures with material and geometric uncertainties97 cited
  • 2000Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation97 cited
  • Cited by

    • 2022A high-performance calculation scheme for stochastic dynamic problems22 cited
    • 2023Uncertainty analysis of the control rod drop based on the adaptive collocation stochastic perturbation method21 cited
    • 2024A new discrepancy for sample generation in stochastic response analyses of aerospace problems with uncertain parameters20 cited
    • 2023Numerical convergence and error analysis for the truncated iterative generalized stochastic perturbation-based finite element method18 cited
    • 2023An adaptive divided-difference perturbation method for solving stochastic problems17 cited
    • 2018Projection methods for stochastic dynamic systems: A frequency domain approach16 cited
    • 2018Stochastic Vibration Analysis of Functionally Graded Plates with Material Randomness Using Cell-Based Smoothed Discrete Shear Gap Method16 cited
    • 2020A Non-Intrusive Stochastic Isogeometric Analysis of Functionally Graded Plates with Material Uncertainty14 cited
    • 2020An improved response function based stochastic meshless method for problems in elasto-statics10 cited
    • 2020An efficient forward propagation of multiple random fields using a stochastic Galerkin scaled boundary finite element method9 cited