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Improved three point integration schemes for triangular finite elements
Author(s) -
Reddy C. T.
Publication year - 1978
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.1620121211
Subject(s) - homogeneous space , numerical integration , quadrature (astronomy) , mathematics , degree (music) , point (geometry) , set (abstract data type) , mathematical analysis , geometry , computer science , physics , acoustics , optics , programming language
Symmetric three point quadrature schemes are at present available for triangles for exact integration of polynomials of degree 2. There are other possible symmetries, which provide higher accuracies. Exact integration of polynomials of a higher degree is possible. General formulations are made and a set of three integration points for improved accuracy is given.