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Asymptotic finite element method for boundary value problems
Author(s) -
BarYoseph Pinchas,
Israeli Moshe
Publication year - 1986
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650060103
Subject(s) - finite element method , a priori and a posteriori , mathematics , extended finite element method , mixed finite element method , mathematical analysis , boundary knot method , boundary value problem , perturbation (astronomy) , boundary element method , physics , philosophy , epistemology , quantum mechanics , thermodynamics
The Asymptotic Finite Element method for improvement of standard finite element solutions of perturbation equations by the addition of asymptotic corrections to the right hand side terms is presented. It is applied here to 1‐D and 2‐D diffusion–convection equations and to non‐linear similarity equations. Excellent results were obtained without the a priori use of special trial and test functions. Theoretical expectations were confirmed.