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Analysis of Membrane Locking in hp FEM for a Cylindrical Shell
Author(s) -
Gerdes K.,
Matache A.M.,
Schwab C.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199810)78:10<663::aid-zamm663>3.0.co;2-g
Subject(s) - finite element method , shell (structure) , convergence (economics) , enhanced data rates for gsm evolution , exponential function , independence (probability theory) , mathematical analysis , mathematics , exponential growth , mechanics , geometry , materials science , physics , structural engineering , computer science , engineering , composite material , telecommunications , statistics , economics , economic growth
In this paper we analyze the performance of the hp ‐Finite Element Method for a cylindrical shell problem. Our theoretical investigations show that the hp approximation converges exponentially, provided that boundary layers stemming from the edge effect are resolved. The numerical results illustrate the mesh independence of the exponential convergence of the hp ‐FEM.