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Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations. Part A: Local Karhunen--Loève Representations
7 references·1 citing·32 second hop
Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations. Part A: Local Karhunen--Loève Representations (2018)Parallel Domain Decomposition Strategies …Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Numerical methods for the dis…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Karhunen–Loève approximation of random fields by generalized fast multipole methods (2006)Karhunen–Loève approximation …Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme (2002)Implementation of Karhunen–Lo…A Stochastic Projection Method for Fluid Flow (2002)A Stochastic Projection Metho…Choice of input fields in stochastic finite elements (1999)Choice of input fields in sto…Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Uncertainties in probabilisti…Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations Part B: Accelerated Monte Carlo Sampling with Local PC Expansions (2018)Parallel Domain Decomposition…Random Fields: Analysis and Synthesis (1983)Stochastic Finite Elements: A Spectral Approach (1991)Latin Hypercube Sampling for Stochastic Finite Element Analysis (2002)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Methods of structural safety (2006)Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Nonlinear Vibration Models for Extremes and Fatigue (1988)Optimal Discretization of Random Fields (1993)Structural Reliability Methods (1996)Generalized Variability Response Functions for Beam Structures with Stochastic Parameters (2012)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Simulation of second-order processes using Karhunen–Loeve expansion (2002)Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion (2005)Collocation-based stochastic finite element analysis for random field problems (2006)Modified linear estimation method for generating multi-dimensional multi-variate Gaussian field in modelling material properties (2014)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Finite elements for elliptic problems with stochastic coefficients (2004)Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs (2010)Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients (2011)Structural Reliability under Incomplete Probability Information (1986)Simulation of multi-dimensional random fields by Karhunen–Loève expansion (2017)An explicit method for simulating non-Gaussian and non-stationary stochastic processes by Karhunen-Loève and polynomial chaos expansion (2018)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)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)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)
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References

  • 2008The stochastic finite element method: Past, present and future999 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2006Karhunen–Loève approximation of random fields by generalized fast multipole methods355 cited
  • 1997Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements354 cited
  • 2014Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion315 cited
  • 2002Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme279 cited
  • 1999Choice of input fields in stochastic finite elements18 cited

Cited by

  • 2018Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations Part B: Accelerated Monte Carlo Sampling with Local PC Expansions10 cited

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