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Average and complete incompressibility in the finite element method
Author(s) -
Thompson Erik G.
Publication year - 1975
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.1620090411
Subject(s) - lagrange multiplier , finite element method , constraint (computer aided design) , mathematics , mixed finite element method , constraint algorithm , convergence (economics) , element (criminal law) , extended finite element method , plane stress , mathematical analysis , function (biology) , mathematical optimization , geometry , structural engineering , engineering , evolutionary biology , political science , law , economics , biology , economic growth
The constraint of incompressibility is incorporated into the finite element method for plane strain through the use of a Lagrange multiplier. Depending on the approximating function chosen for this multiplier, the constraint condition can be satisfied everywhere within the element or only in an average sense for the entire element. A study of these two approaches from the point of view of rate of convergence and computer time is presented.