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A comparison between isoparametric Lagrangian elements in 2D BEM
Author(s) -
Deb A.,
Banerjee P. K.
Publication year - 1989
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.1620280706
Subject(s) - quartic function , lagrangian , element (criminal law) , quadratic equation , boundary element method , mathematics , context (archaeology) , boundary (topology) , finite element method , mathematical analysis , mathematical optimization , geometry , structural engineering , engineering , pure mathematics , geology , law , paleontology , political science
A comparison between a family of isoparametric C °‐continucus elements in the context of two‐dimensional elastostatics using the direct boundary element method is presented. The elements studied use Lagrangian shape functions of orders quadratic, cubic and quartic. The relative efficiencies of these elements from the viewpoint of accuracy of solution as well as cost effectiveness are examined through certain selected problems. It emerges from the present study that the quartic element is more reliable in accuracy than the lower members of the family without being necessarily more expensive.