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Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty
0 references·7 citing·24 second hop
Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty (2004)Theory and methodology for estimation and…Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties (2019)Model order reduction acceler…Lattice domes reliability by the perturbation-based approaches vs. semi-analytical method (2019)Lattice domes reliability by …Isogeometric generalized n th order perturbation-based stochastic method for exact geometric modeling of (composite) structures: Static and dynamic analysis with random material parameters (2018)Isogeometric generalized n th…Robust goal-oriented error estimation based on the constitutive relation error for stochastic problems (2012)Robust goal-oriented error es…Generalized stochastic perturbation technique in engineering computations (2009)Generalized stochastic pertur…On stochastic finite element method for linear elastostatics by the Taylor expansion (2007)On stochastic finite element …Uncertainty Quantification with Stochastic Finite Elements (2004)Uncertainty Quantification wi…Stochastic Finite Elements: A Spectral Approach (1991)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format (2015)Inverse Problems in a Bayesian Setting (2016)Stochastic multi-scale finite element based reliability analysis for laminated composite structures (2017)Structural Reliability Analysis and Prediction (2017)Random Fields: Analysis and Synthesis (1983)Random data: Analysis and measurement procedures (1987)The performance prediction and optimization of the fiber-reinforced composite structure with uncertain parameters (2016)A Copula-based perturbation stochastic method for fiber-reinforced composite structures with correlations (2017)Random field finite elements (1986)Robust optimization design for fatigue life (2011)Response Probability Analysis of Random Acoustic Field Based on Perturbation Stochastic Method and Change-of-Variable Technique (2013)A novel stochastic-spectral finite element method for analysis of elastodynamic problems in the time domain (2015)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)The stochastic finite element method: Past, present and future (2008)The stochastic finite-element method (1980)An nth high order perturbation-based stochastic isogeometric method and implementation for quantifying geometric uncertainty in shell structures (2020)Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method (2021)A high-performance calculation scheme for stochastic dynamic problems (2022)European Committee for Standardization (2014)Structural dynamic reliability analysis of super large-scale lattice domes during earthquakes using the stochastic finite element method (2021)Uncertainty quantification of the mechanical properties of lightweight concrete using micromechanical modelling (2020)Uncertainty quantification of 3D acoustic shape sensitivities with generalized nth-order perturbation boundary element methods (2024)
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Cited by

  • 2004Uncertainty Quantification with Stochastic Finite Elements70 cited
  • 2009Generalized stochastic perturbation technique in engineering computations50 cited
  • 2019Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties48 cited
  • 2018Isogeometric generalized n th order perturbation-based stochastic method for exact geometric modeling of (composite) structures: Static and dynamic analysis with random material parameters36 cited
  • 2007On stochastic finite element method for linear elastostatics by the Taylor expansion23 cited
  • 2012Robust goal-oriented error estimation based on the constitutive relation error for stochastic problems18 cited
  • 2019Lattice domes reliability by the perturbation-based approaches vs. semi-analytical method15 cited

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