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A Fast Polynomial Chaos Expansion for Uncertainty Quantification in Stochastic Electromagnetic Problems
8 references·10 citing·40 second hop
A Fast Polynomial Chaos Expansion for Uncertainty Quantification in Stochastic Electromagnetic Problems (2019)A Fast Polynomial Chaos Expansion for Unc…Least squares polynomial chaos expansion: A review of sampling strategies (2017)Least squares polynomial chao…An Introduction to Computational Stochastic PDEs (2014)An Introduction to Computatio…Variability Analysis of Multiport Systems Via Polynomial-Chaos Expansion (2012)Variability Analysis of Multi…Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)Recent Advances in Non-Intrus…A least-squares approximation of partial differential equations with high-dimensional random inputs (2009)A least-squares approximation…Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Efficient Sampling for Non-In…On Latin hypercube sampling for structural reliability analysis (2002)On Latin hypercube sampling 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design (2018)An adaptive polynomial chaos expansion for high-dimensional reliability analysis (2020)A Review of Recent Advances in Surrogate Models for Uncertainty Quantification of High-Dimensional Engineering Applications (2024)Random-Space Dimensionality Reduction for Expedient Yield Estimation of Passive Microwave Structures (2013)Efficient Variability Analysis of Electromagnetic Systems Via Polynomial Chaos and Model Order Reduction (2014)Polynomial Chaos-Based Approach to Yield-Driven EM Optimization (2018)Digital simulation of random processes and its applications (1972)Brownian motion and stochastic calculus (2017)Analysis of Boundary Effects on PDE-Based Sampling of Whittle--Matérn Random Fields (2019)The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions (2020)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Fast Uncertainty Quantification by Sparse Data Learning From 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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002On Latin hypercube sampling for structural reliability analysis798 cited
  • 2014An Introduction to Computational Stochastic PDEs544 cited
  • 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design371 cited
  • 2007Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables347 cited
  • 2017Least squares polynomial chaos expansion: A review of sampling strategies157 cited
  • 2009A least-squares approximation of partial differential equations with high-dimensional random inputs138 cited
  • 2012Variability Analysis of Multiport Systems Via Polynomial-Chaos Expansion94 cited

Cited by

  • 2022Tolerance Optimization of Antenna Structures by Means of Response Feature Surrogates22 cited
  • 2020Uncertainty Quantification of Waveguide Dispersion Using Sparse Grid Stochastic Testing20 cited
  • 2024Kriging Methodology for Uncertainty Quantification in Computational Electromagnetics18 cited
  • 2023Robust adaptive least squares polynomial chaos expansions in high‐frequency applications18 cited
  • 2021Adjoint Sensitivity Analysis for Uncertain Material Parameters in Frequency-Domain 3-D FEM17 cited
  • 2020Robust adaptive least squares polynomial chaos expansions in high‐frequency applications

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16 cited
  • 2022Tolerance-Aware Optimization of Microwave Circuits by Means of Principal Directions and Domain-Restricted Metamodels15 cited
  • 2021A Novel Method for Intrusive Stochastic Estimation of Geometric Tolerance Effects in Finite Element Electromagnetic Analysis13 cited
  • 2022Efficient Yield Estimation of Multiband Patch Antennas Using NLPLS-Based PCE13 cited
  • 2020Neumann-Expansion-Based FEM for Uncertainty Quantification of Permittivity Variations10 cited