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Performance of the h–p version of the finite element method with various elements
Author(s) -
Babuška I.,
Elman H. C.
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.1620361502
Subject(s) - computation , finite element method , class (philosophy) , mathematics , element (criminal law) , type (biology) , square (algebra) , degree (music) , order (exchange) , algorithm , computational complexity theory , computer science , geometry , structural engineering , engineering , physics , artificial intelligence , biology , ecology , finance , law , political science , acoustics , economics
The paper addresses the performance of square elements of type Q ( p ) and Q ′( p ). ( Q ( p ) and Q ′( p ) are elements of degree p , analogous to the well‐known 9‐ and 8‐noded elements for p = 2.) The performance is analysed theoretically for the class of analytic functions. Numerical experiments confirm the conclusions drawn from the theory. The computational complexity of a solution algorithm is studied using timings of the computation on an Alliant FX/8 computer. The data show that high‐order elements are very effective for the considered class of solutions.