Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation-Reference-Cited by-同舟云学术

Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation

Published:2005-04 Issue:12-16 Volume:194 Page:1251-1294
ISSN:0045-7825
Container-title:Computer Methods in Applied Mechanics and Engineering
language:en
Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Babuška Ivo,Tempone Raúl,Zouraris Georgios E.

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference93 articles.

1. Guide for verification and validation of computational fluid dynamics simulation. Technical Report AIAA G-077-1998, American Institute of Aeronautics and Astronautics, 1998

2. Lectures on Elliptic Boundary Value Problems;Agmon,1965

3. A Posteriori Error Estimation in Finite Element Analysis;Ainsworth,2000

4. On randomized solutions of Laplace’s equation;Babuška;Casopis Pest. Mat.,1961

5. Damage analysis of fiber composites. I. Statistical analysis on fiber scale;Babuška;Comput. Methods Appl. Mech. Engrg.,1999

Cited by 253 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. Full-field validation of finite cell method computations on wire arc additive manufactured components;Archive of Applied Mechanics;2024-06-05

2. Stochastic domain decomposition based on variable-separation method;Computer Methods in Applied Mechanics and Engineering;2024-01

3. Polynomial-chaos-based conditional statistics for probabilistic learning with heterogeneous data applied to atomic collisions of Helium on graphite substrate;Journal of Computational Physics;2024-01

4. An Ensemble-Based Efficient Iterative Method for Uncertainty Quantification of Partial Differential Equations with Random Inputs;2024

5. Application of Spectral Stochastic Finite Element via Galerkin Method in Beam Bending Theories;Lecture Notes in Mechanical Engineering;2024