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A novel stochastic-spectral finite element method for analysis of elastodynamic problems in the time domain
16 references·4 citing·41 second hop
A novel stochastic-spectral finite element method for analysis of elastodynamic problems in the time domain (2015)A novel stochastic-spectral finite elemen…The Stochastic Perturbation Method for Computational Mechanics (2013)The Stochastic Perturbation M…Dimension reduction in stochastic modeling of coupled problems (2012)Dimension reduction in stocha…Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters (2012)Bounds for the stationary sto…Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Stochastic analysis of struct…A reduced spectral function approach for the stochastic finite element analysis (2011)A reduced spectral function a…Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Numerical Methods for Stochas…High dimensional model representation for stochastic finite element analysis (2010)High dimensional model repres…Generalized stochastic perturbation technique in engineering computations (2009)Generalized stochastic pertur…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)Solution of stochastic partia…Stochastic finite element method for elasto-plastic body (1999)Stochastic finite element met…Higher-Order Sensitivity of Heat Conduction Problems to Random Data Using the Spectral Stochastic Finite Element Method (1999)Higher-Order Sensitivity of H…Spectral techniques for stochastic finite elements (1997)Spectral techniques for stoch…A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Weighted integral method in stochastic finite element analysis (1990)Weighted integral method in s…Stochastic spectral cell method for structural dynamics and wave propagations (2023)Stochastic spectral cell meth…Stochastic finite cell method for structural mechanics (2021)Stochastic finite cell method…Simplified spectral stochastic finite element formulations for uncertainty quantification of engineering structures (2020)Simplified spectral stochasti…Graph theoretical methods for efficient stochastic finite element analysis of structures (2016)Graph theoretical methods for…The stochastic finite element method in structural reliability (1988)Optimal Discretization of Random Fields (1993)Three‐dimensional stochastic finite element method for elasto‐plastic bodies (2001)A Review of Recent Developments in the Numerical Solution of Stochastic Partial Differential Equations (Stochastic Finite Elements) (2003)Strategy for selecting representative points via tangent spheres in the probability density evolution method (2007)Monte Carlo solution of structural dynamics (1972)Random field finite elements (1986)Neumann Expansion for Stochastic Finite Element Analysis (1988)Dynamic stiffness of randomly parametered beams (1998)Dynamic analysis of framed structures with statistical uncertainties (1999)Structural and System Reliability (2022)Probabilistic Theory of Structural Dynamics (1976)Convex Models of Uncertainty in Applied Mechanics (1990)Reliability-based design optimization of structural systems under hybrid probabilistic and interval model (2015)A novel Interval Finite Element Method based on the improved interval analysis (2016)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Stochastic Dynamics of Structures (2009)One-dimensional heterogeneous solids with uncertain elastic modulus in presence of long-range interactions: Interval versus stochastic analysis (2013)Reliability analysis of structures with interval uncertainties under stationary stochastic excitations (2015)Static analysis of Euler–Bernoulli beams with interval Young’s modulus (2015)The stochastic finite-element method (1980)Stochastic Differential Equations: An Introduction with Applications. 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  • 2010

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High dimensional model representation for stochastic finite element analysis
35 cited
  • 1999Higher-Order Sensitivity of Heat Conduction Problems to Random Data Using the Spectral Stochastic Finite Element Method34 cited
  • Cited by

    • 2021Stochastic finite cell method for structural mechanics18 cited
    • 2016Graph theoretical methods for efficient stochastic finite element analysis of structures17 cited
    • 2020Simplified spectral stochastic finite element formulations for uncertainty quantification of engineering structures10 cited
    • 2023Stochastic spectral cell method for structural dynamics and wave propagations8 cited