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Automated adaptive two‐dimensional system for the hp ‐version of the finite element method
Author(s) -
Georges M. K.,
Shephard M. S.
Publication year - 1991
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.1620320412
Subject(s) - finite element method , discretization , computer science , mixed finite element method , generator (circuit theory) , algorithm , smoothed finite element method , boundary knot method , mathematics , engineering , structural engineering , mathematical analysis , power (physics) , physics , quantum mechanics , boundary element method
This paper presents an automated, adaptive finite element modelling system based on the hp ‐version of the finite element method. Error estimation and correction indication procedures with an automatic mesh generator and a p ‐version analysis code are combined to provide a computationally efficient modelling environment. Error prediction techniques are employed to find the best combination of finite element discretization, h ‐, and overall polynomial order, p ‐, needed to achieve the prescribed level of accuracy. The automated adaptive modelling results demonstrate the capability of the modelling system of predicting discretizations to perform a p ‐version finite element analysis to achieve prescribed levels of accuracy in the most efficient manner.