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h ‐Hierarchical adaptive boundary element method using local reanalysis
Author(s) -
Charafi A.,
Neves A. C.,
Wrobel L. C.
Publication year - 1995
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.1620381304
Subject(s) - quartic function , convergence (economics) , finite element method , quadratic equation , boundary (topology) , mathematical optimization , process (computing) , scheme (mathematics) , element (criminal law) , reliability (semiconductor) , computer science , mathematics , algorithm , geometry , mathematical analysis , engineering , structural engineering , power (physics) , physics , quantum mechanics , law , political science , pure mathematics , economics , economic growth , operating system
An adaptive boundary element scheme is developed using the concept of local reanalysis and h ‐hierarchical functions for the construction of near‐optimal computational models. The use of local reanalysis in the error estimation guarantees the reliability of the modelling process while the use of quadratic and quartic h ‐hieararchical elements guarantees the efficiency of the adaptive algorithm. The technique is developed for the elastic analysis of two‐dimensional models. Numerical examples show the rapid convergence of the results with a few refinement steps.