SOLUTION OF NONDETERMIN1STIC FINITE ELEMENT AND FINITE DIFFERENCE HEAT CONDUCTION SIMULATIONS

1 April 1989

journal article
research article
Published by Taylor & Francis in Numerical Heat Transfer, Part A: Applications

Vol. 15 (3) , 383-398
https://doi.org/10.1080/10407788908944694

Abstract

A formal solution methodology is developed for nondeterministic finite element and finite difference simulations of heat conduction. The generality of the procedure is such that statistical variations in both system and environmental characteristics can be handled. This includes the capability to analyze essentially any level of probabilistic variation. For simplification of use, a priori convergence and truncation criteria for the procedure are developed. These enable problem-dependent resource requirements to be predetermined.

Keywords

This publication has 2 references indexed in Scilit:

Survey of computer programs for solution of nonlinear structural and solid mechanics problems
Computers & Structures, 1981
The stochastic finite-element method
Computers & Structures, 1980