Finite Element Methods for Structures with Large Stochastic Variations
Isaac Elishakoff, Yongjian RenBooks.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
Overview
The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. FEM is a numerical method widely used in computer aided engineering, which allows for modelling and analysis of engineering and mathematical problems, e.g. safety testing. This reference text is the first to discuss finite element methods for structures with large stochastic variations. Stochastic variations are those that follow a random probability distribution or pattern and whose behavior may be analyzed statistically but not predicted precisely. Graduate students, lecturers and researchers in mathematics, engineering and scientific computation will find this a very useful reference. This book is the latest in the Oxford Texts in Applied and Engineering Mathematics Series, which includes textx based on taught courses that explain the mathematical or computational techniques required for the resolution of fundamental applied problems, from the undergraduate through to the graduate level.
Synopsis
Most approaches towards the finite element method for stochastic problems in structures rely on perturbation techniques that deny the method universal applicability for physically reasonable values. Elishakoff (Florida Atlantic U.) and Ren (senior software engineer, DataCore Software Corp., Florida) present a non- perturbative approach in which the large variation involved in the stochastic quantities allow for effective solutions. Annotation ©2003 Book News, Inc., Portland, OR