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A rational function approximation for the integration point in exponentially weighted finite element methods
Author(s) -
Flaherty Joseph E.
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.1620180513
Subject(s) - mathematics , finite element method , exponential growth , function (biology) , rational function , mathematical analysis , point (geometry) , diffusion , physics , geometry , thermodynamics , evolutionary biology , biology
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 = O (n1).