Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation-Reference-Cited by-同舟云学术

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Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation

Published:2019-01 Issue:3 Volume:41 Page:A1681-A1705
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Crowder Adam J.,Powell Catherine E.,Bespalov Alex

Funder

Isaac Newton Institute for Mathematical Sciences

Engineering and Physical Sciences Research Council

Simons Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/18M1194420

Reference26 articles.

1. Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

2. Energy Norm A Posteriori Error Estimation for Parametric Operator Equations

3. Efficient Adaptive Algorithms for Elliptic PDEs with Random Data

4. Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations

5. Sparse Tensor Discretization of Elliptic sPDEs

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1. IFISS3D: A Computational Laboratory for Investigating Finite Element Approximation in Three Dimensions;ACM Transactions on Mathematical Software;2023-09-19

2. Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation;SIAM Journal on Scientific Computing;2023-04-27

3. Adaptive Nonintrusive Reconstruction of Solutions to High-Dimensional Parametric PDEs;SIAM Journal on Scientific Computing;2023-04-26

4. An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality;ESAIM: Mathematical Modelling and Numerical Analysis;2022-09-14

5. On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion;SIAM Journal on Numerical Analysis;2022-03-24

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