Premium
Finite element analysis of non‐stationary one‐dimensional random diffusion problems
Author(s) -
Tasaka Seiichi,
Matsuoka Osamu
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180708
Subject(s) - finite element method , mathematics , mixed finite element method , extended finite element method , random element , diffusion , mathematical analysis , random field , physics , statistics , thermodynamics
A finite element analysis of a class of non‐stationary random diffusion problems is considered. By using the one‐dimensional heat equation with random initial condition and random external excitation, the statistical numerical formulation is presented. Two typical numerical examples are given for somewhat simplified problems by which the validity of the finite element scheme is discussed. The results obtained by the finite difference scheme are also shown.