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New basis functions and computational procedures for p‐version finite element analysis
Author(s) -
Carnevali P.,
Morris R. B.,
Tsuji Y.,
Taylor G.
Publication year - 1993
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.1620362202
Subject(s) - finite element method , smoothed finite element method , mixed finite element method , extended finite element method , finite element limit analysis , basis (linear algebra) , basis function , solver , computer science , superelement , mathematics , computational science , algorithm , mathematical optimization , boundary knot method , mathematical analysis , structural engineering , geometry , engineering , boundary element method
New basis functions and solution procedures for p‐version finite element analysis are described. They are used in a highly efficient p‐version finite element solver for linear elastostatics and dynamics, which has been used in an industrial environment for over two years. Using two sample applications it is shown that, using the techniques proposed here, p‐version finite element analysis can have a substantially lower computational cost, for given accuracy, than standard finite element methods. This makes the industrial applicability of p‐version finite element analysis much wider than is commonly believed.