ISSN:
0748-8025
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
A study of the performance of some globally mapped Lagrangian elements is presented. The objective was to determine whether there were significant advantages to be gained from mapping. Results show that for biquadratic and bicubic elements, the only ones considered, mapping leads to considerably improved performance, in terms of both accuracy and convergence, over their conventional (unmapped) counterparts. On the debit side, however, the presence of ‘parasitic’ terms in the shape function(s) of mapped Lagrangian elements makes them less efficient than their counterparts of the serendipity family. Nevertheless, results offer sufficient incentive for further work on ways in which Lagrangian elements could be made more efficient for practical application.
Additional Material:
3 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1630050707
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