A rational function approximation for the integration point in exponentially weighted finite element methods | Zendy

Flaherty Joseph E. | Zendy

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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).

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