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a posteriori Error estimation for triangular and tetrahedral quadratic elements using interior residuals
Author(s) -
Baehmann Peggy L.,
Shephard Mark S.,
Flaherty Joseph E.
Publication year - 1992
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.1620340320
Subject(s) - estimator , a priori and a posteriori , finite element method , quadratic equation , tetrahedron , norm (philosophy) , mathematics , elasticity (physics) , algorithm , mathematical optimization , geometry , engineering , statistics , structural engineering , philosophy , epistemology , political science , law , materials science , composite material
A reliable and accurate a posteriori error estimator for quadratic triangular and tetrahedral elements is presented. Its application in an automated, adaptive finite element modelling system for elasticity problems demonstrates its ability to accurately estimate the error in the energy norm. A local version of this error estimator is also used to determine the multiple level h ‐refinement necessary to improve the finite element mesh.