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Wavenumber-Explicit Parametric Holomorphy of Helmholtz Solutions in the Context of Uncertainty Quantification
6 references·0 citing·21 second hop
Wavenumber-Explicit Parametric Holomorphy of Helmholtz Solutions in the Context of Uncertainty Quantification (2023)Wavenumber-Explicit Parametric Holomorphy…Domain Uncertainty Quantification in Computational Electromagnetics (2020)Domain Uncertainty Quantifica…Large deformation shape uncertainty quantification in acoustic scattering (2018)Large deformation shape uncer…Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations (2016)Analytic regularity and collo…Analysis of the domain mapping method for elliptic diffusion problems on random domains (2016)Analysis of the domain mappin…Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs (2013)Analytic Regularity and GPC A…Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs (2010)Convergence Rates of Best N-t…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients (2017)Properties of Chance Constraints in Infinite Dimensions with an Application to PDE Constrained Optimization (2017)Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty (2019)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients (2011)Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs (2011)Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Stochastic Finite Elements: A Spectral Approach (1991)Karhunen–Loève approximation of random fields by generalized fast multipole methods (2006)An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A stochastic collocation approach for parabolic PDEs with random domain deformations (2021)Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies (2021)The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs (2024)Sparse finite element methods for operator equations with stochastic data (2006)Sparse second moment analysis for elliptic problems in stochastic domains (2008)ENHANCED ADAPTIVE SURROGATE MODELS WITH APPLICATIONS IN UNCERTAINTY QUANTIFICATION FOR NANOPLASMONICS (2020)A stochastic finite element scheme for solving partial differential equations defined on random domains (2022)
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References

  • 2010Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs306 cited
  • 2016Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations65 cited
  • 2016Analysis of the domain mapping method for elliptic diffusion problems on random domains62 cited
  • 2013Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs56 cited
  • 2018Large deformation shape uncertainty quantification in acoustic scattering51 cited
  • 2020Domain Uncertainty Quantification in Computational Electromagnetics22 cited

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