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Numerical tests for assessing finite element model convergence
Author(s) -
Verma A.,
Melosh R. J.
Publication year - 1987
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.1620240502
Subject(s) - convergence (economics) , convergence tests , monotonic function , rate of convergence , compact convergence , finite element method , normal convergence , modes of convergence (annotated index) , constant (computer programming) , mathematics , element (criminal law) , computer science , mathematical analysis , structural engineering , engineering , discrete mathematics , computer network , channel (broadcasting) , topological vector space , topological space , isolated point , economics , programming language , economic growth , law , political science
New requirements for finite element model convergence are defined. It is shown that the presence of constant strain states in an element is not sufficient to guarantee convergence. Numerical tests are proposed to assess convergence, direction of convergence, monotonicity of convergence, convergence rate and monotonicity of convergence rate. The proposed tests are mathematically stronger and more general than existing tests.