Accession Number : ADA182494

Title :   An Optimum Formulation of the Finite Element Method for the Diffusion Equation.

Descriptive Note : Student rept.,

Corporate Author : AIR COMMAND AND STAFF COLL MAXWELL AFB AL

Personal Author(s) : Martin,Charles R

PDF Url : ADA182494

Report Date : Apr 1987

Pagination or Media Count : 20

Abstract : In an earlier paper, the Crandall and Crank-Nicolson (CNM) finite difference methods were compared with respect to the solution of the transient heat conduction problem (isomorphic with respect to the diffusion equation). In this paper, an optimum formulation of the finite element method for the diffusion equation is derived. This method is the finite element equivalent of the Crandall method for finite differences. The method is then applied to problems with Neumann and Dirichlet boundary conditions, and the accuracy is compared with the finite element version of the CNM.

Descriptors :   *DIFFUSION, *FINITE ELEMENT ANALYSIS, *THERMAL CONDUCTIVITY, ACCURACY, BOUNDARY VALUE PROBLEMS, FORMULATIONS, OPTIMIZATION, EQUATIONS, NUMERICAL METHODS AND PROCEDURES, TRANSIENTS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE