Accession Number:

ADA101268

Title:

A Rational Function Approximation for the Integration Point in Exponentially Weighted Finite Element Methods

Descriptive Note:

Technical rept.

Corporate Author:

AIR FORCE OCCUPATIONAL MEASUREMENT CENTER RANDOLPH AFB TX

Personal Author(s):

• Flaherty, Joseph E.

Report Date:

1981-06-01

Pagination or Media Count:

25.0

Abstract:

A rational function is presented for approximating the function fz coth z - 1z that appears in several exponentially fitted or weighted finite difference and finite element methods for convection-diffusion problems. The approximation is less expensive to evaluate than fz and provides greater accuracy than the doubly asymptotic approximation when z 01.

Descriptors:

• *EXPONENTIAL FUNCTIONS
• *FINITE ELEMENT ANALYSIS
• *INTEGRAL EQUATIONS
• *WEIGHTING FUNCTIONS
• APPROXIMATION(MATHEMATICS)
• ASYMPTOTIC SERIES
• BOUNDARY VALUE PROBLEMS
• CONVERGENCE
• FITTING FUNCTIONS(MATHEMATICS)
• MESH
• PERTURBATIONS
• REYNOLDS NUMBER

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE