An efficient 3D stochastic finite element method

International Journal of Solids and Structures

Volumn 39, Issue 9, 2002, Pages 2465-2475

  Chakraborty, S ^a   Bhattacharyya, B ^a  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

Author keywords

Cholesky decomposition; Local averaging; Monte Carlo simulation; Neumann expansion; Perturbation

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; PERTURBATION TECHNIQUES;

STOCHASTIC FIELDS;

FINITE ELEMENT METHOD;

STRUCTURAL ANALYSIS;

EID: 0037198006     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(02)00080-X     Document Type: Article

References (24)

1. Finite element methods in probabilistic structural analysis: A selective review
2. Stochastic Green's functions
3. Application of finite element methods in the statistical analysis of structures
4. A note on stochastic finite element method (part 2)-variation of stress and strain caused by fluctuations of material properties and geometrical boundary conditions
5. Random field finite elements
6. A note on stochastic finite element method (part 1)-variation of stress and strain caused by shape fluctuation
7. A note on stochastic finite element method (part 6)- An application in problems of uncertain elastic foundation
8. A state-of-the-art report on computational stochastic mechanics
9. Random eigenvalue problems in structural analysis
10. Response variability of stochastic finite element systems
11. Stochastic finite element analysis an introduction
12. Dynamics of structural systems with spatial randomness
13. Probabilistic modeling of soil profiles
14. Stochastic finite element analysis of simple beams
15. Random fields and stochastic finite elements
16. Neumann expansion for stochastic finite element analysis
17. Statistical preconditioning in simulation of stochastic vector
18. Stochastic FEM based on local averages of random vector fields