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

Abstract

A rational function is presented for approximating the function f(z) = coth z - 1/z 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 f(z) and provides greater accuracy than the doubly asymptotic approximation when z = 0(1).

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA101268

Entities

People

  • J. E. Flaherty

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Boundary Value Problems
  • Computers
  • Convection
  • Diffusion
  • Equations
  • Errors
  • Finite Element Analysis
  • Governments
  • Materials
  • Mechanical Properties
  • Military Research
  • Rational Functions
  • Reynolds Number
  • Steady State
  • Weapon Systems

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Computational Fluid Dynamics (CFD)
  • Statistical inference.