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Infinite elements with 1/ r n type decay
Author(s) -
Lynn Paul P.,
Hadid Hassoun A.
Publication year - 1981
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.1620170305
Subject(s) - finite element method , type (biology) , extension (predicate logic) , mathematics , element (criminal law) , space (punctuation) , mathematical analysis , physics , computer science , ecology , operating system , political science , law , biology , programming language , thermodynamics
This paper presents a method of developing a family of 1/ r n type infinite elements for the analysis of problems definite in unbounded media. The proposed method is a direct extension of the conventional finite element method. The resulting improper integrals are integrated exactly over the infinite element domains. Two numerical examples in elastic half‐space static problems are investigated to illustrate the applicability and accuracy of the method. The use of the proposed infinite elements yields excellent results and preserves all the advantages of the finite element method.