On the convergence of the stochastic Galerkin method for random elliptic partial differential equations-Reference-Cited by-同舟云学术

On the convergence of the stochastic Galerkin method for random elliptic partial differential equations

Published:2013-07-09 Issue:5 Volume:47 Page:1237-1263
ISSN:0764-583X
Container-title:ESAIM: Mathematical Modelling and Numerical Analysis
language:
Short-container-title:ESAIM: M2AN

Author:

Mugler Antje,Starkloff Hans-Jörg

Publisher

EDP Sciences

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Link

http://www.esaim-m2an.org/10.1051/m2an/2013066/pdf

Reference46 articles.

1. M. Abramowitz and I.A. Stegun,Handbook of Mathematical Functions. Dover Publications, Inc, New York (1965).

2. Babuška I., Nobile F. and Tempone R., A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data.SIAM J. Numer. Anal.45(2007) 1005–1034.

3. Babuška I., Tempone R. and Zouraris G.E., Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations.SIAM J. Numer. Anal.42(2004) 800–825.

4. Babuška I., Tempone R. and Zouraris G.E., Solving elliptic boundary-value problems with uncertain coefficients by the finite element method: the stochastic formulation.Comput. Methods Appl. Mech. Engrg.194(2005) 1251–1294.

5. Bieri M., Andreev R. and Schwab C., Sparse tensor discretization of elliptic SPDEs.SIAM J. Sci. Comput.31(2009) 4281–4304.

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Sparse series solutions of random boundary and initial value problems;International Journal of Wavelets, Multiresolution and Information Processing;2023-11-21

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

3. EFFICIENT APPROXIMATION OF HIGH-DIMENSIONAL EXPONENTIALS BY TENSOR NETWORKS;International Journal for Uncertainty Quantification;2023

4. Subordinated Gaussian random fields in elliptic partial differential equations;Stochastics and Partial Differential Equations: Analysis and Computations;2022-03-18

5. Multilevel Monte Carlo estimators for elliptic PDEs with Lévy-type diffusion coefficient;BIT Numerical Mathematics;2022-03-01