On Quasi-Weak and Weak Formulations of Displacement-Based and Green-Function-Based Stochastic Finite Element Methods

Home
Copyright
Dedication
Conference Organization
Prologue
Table of Contents
Author Index
Search
Help

doi:10.3850/978-981-08-7619-7_P061

On Quasi-Weak and Weak Formulations of Displacement-Based and Green-Function-Based Stochastic Finite Element Methods

X. Frank Xu

Department of Civil, Environmental, and Ocean Engineering, Stevens Institute of Technology, Castle Point on Hudson, Hoboken, New Jersey, USA 07030.

x.xu@stevens.edu

ABSTRACT

In this paper variational formulations of both displacement-based and Green-function-based stochastic finite element methods (SFEM) are discussed in an integrated way. Two variational forms are distinguished from each other, whereas the quasi-weak form is shown corresponding to Monte Carlo, perturbation, and the weighted integral SFEM, while the weak form results in spectral SFEM and GFB-SFEM.

Keywords: Quasi-weak, Variational formulation, Stochastic finite element, Green-function-based.

Back to TOC

FULL TEXT(PDF)