Goal-oriented adaptive surrogate construction for stochastic inversion
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Publication:1986228
DOI10.1016/j.cma.2018.04.045zbMath1441.65006arXiv1802.10487OpenAlexW2788860117MaRDI QIDQ1986228
Steven Mattis, Barbara I. Wohlmuth
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.10487
error estimationadaptive methodsuncertainty quantificationBayesian inversioncomputational engineering
Bayesian inference (62F15) Probabilistic models, generic numerical methods in probability and statistics (65C20) Response surface designs (62K20)
Related Items (7)
Polynomial chaos expansions for dependent random variables ⋮ The surrogate matrix methodology: low-cost assembly for isogeometric analysis ⋮ Goal-oriented adaptive modeling of random heterogeneous media and model-based multilevel Monte Carlo methods ⋮ Fast sampling of parameterised Gaussian random fields ⋮ Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration ⋮ Multilevel Adaptive Sparse Leja Approximations for Bayesian Inverse Problems ⋮ Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering
Uses Software
Cites Work
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- Uncertainty propagation using Wiener-Haar expansions
- Multi-resolution analysis of Wiener-type uncertainty propagation schemes
- Solution verification, goal-oriented adaptive methods for stochastic advection-diffusion problems
- Automated solution of differential equations by the finite element method. The FEniCS book
- Stochastic spectral methods for efficient Bayesian solution of inverse problems
- A posteriori error estimation in finite element analysis
- Fast and reliable methods for determining the evolution of uncertain parameters in differential equations
- Beyond Wiener-Askey expansions: handling arbitrary PDFs
- Adaptive Construction of Surrogates for the Bayesian Solution of Inverse Problems
- Inverse problems: A Bayesian perspective
- A Posteriori Error Analysis of Parameterized Linear Systems Using Spectral Methods
- Approximation of Bayesian Inverse Problems for PDEs
- Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
- An optimal control approach to a posteriori error estimation in finite element methods
- Error Decomposition and Adaptivity for Response Surface Approximations from PDEs with Parametric Uncertainty
- An efficient Bayesian inference approach to inverse problems based on an adaptive sparse grid collocation method
- Spectral Methods for Uncertainty Quantification
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- A‐posteriori error estimates for the finite element method
- A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations
- Reduced Basis Isogeometric Mortar Approximations for Eigenvalue Problems in Vibroacoustics
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- VPS: VORONOI PIECEWISE SURROGATE MODELS FOR HIGH-DIMENSIONAL DATA FITTING
- Automatic Differentiation of C++ Codes for Large-Scale Scientific Computing
- A Measure-Theoretic Interpretation of Sample Based Numerical Integration with Applications to Inverse and Prediction Problems under Uncertainty
- Propagation of Uncertainties Using Improved Surrogate Models
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