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Large deformation shape uncertainty quantification in acoustic scattering
16 references·1 citing·27 second hop
Large deformation shape uncertainty quantification in acoustic scattering (2018)Large deformation shape uncertainty quant…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…Adaptive stochastic Galerkin FEM (2013)Adaptive stochastic Galerkin …Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs (2011)Sparse tensor discretizations…Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison (2010)Stochastic Spectral Galerkin …Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs (2010)Convergence Rates of Best N-t…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)A Stochastic Collocation Meth…Sparse Tensor Discretization of Elliptic sPDEs (2009)Sparse Tensor Discretization …Sparse second moment analysis for elliptic problems in stochastic domains (2008)Sparse second moment analysis…An extended stochastic finite element method for solving stochastic partial differential equations on random domains (2008)An extended stochastic finite…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…A fictitious domain approach to the numerical solution of PDEs in stochastic domains (2007)A fictitious domain approach …Stochastic analysis of transport in tubes with rough walls (2006)Stochastic analysis of transp…Numerical Methods for Differential Equations in Random Domains (2006)Numerical Methods for Differe…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies (2021)Non-intrusive polynomial chao…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)On the convergence of generalized polynomial chaos expansions (2011)Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format (2015)An Adaptive Multilevel Monte Carlo Method with Stochastic Bounds for Quantities of Interest with Uncertain Data (2016)Accelerating Monte Carlo estimation with derivatives of high-level finite element models (2017)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)Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Stochastic Integration and Differential Equations (2005)Risk-Averse PDE-Constrained Optimization Using the Conditional Value-At-Risk (2016)Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems (2020)Stochastic Differential Equations: An Introduction with Applications. (1987)Adaptive ANOVA decomposition of stochastic incompressible and compressible flows (2011)A robust and efficient stepwise regression method for building sparse polynomial chaos expansions (2016)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A stochastic collocation method for the second order wave equation with a discontinuous random speed (2012)Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS (2012)Stochastic Modeling-Based Variability Analysis of On-Chip Interconnects (2012)Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations (2013)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2010A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data400 cited
  • 2010Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs306 cited
  • 2011Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs260 cited
  • 2010Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison176 cited
  • 2006Numerical Methods for Differential Equations in Random Domains163 cited
  • 2008Sparse second moment analysis for elliptic problems in stochastic domains122 cited
  • 2013Adaptive stochastic Galerkin FEM111 cited
  • 2009Sparse Tensor Discretization of Elliptic sPDEs107 cited
  • 2006Stochastic analysis of transport in tubes with rough walls104 cited
  • 2008An extended stochastic finite element method for solving stochastic partial differential equations on random domains99 cited
  • 2007A fictitious domain approach to the numerical solution of PDEs in stochastic domains84 cited

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  • 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
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    • 2021Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies10 cited