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Lagrangian Vs. Serendipity Finite Elements
Researchers (for example: Lee and Bathe) have shown that the performance of Lagrangian finite elements is better than serendipity elements, though (perhaps) at a higher computational cost. However, most of the commercial FE software include only serendipity elements, while some of the academicians are completely against the use of them. I would like to develop an unbiased view in this matter. Can someone help me in understanding the relative merits and demerits of these two families of elements? Indicating some references, where the concepts are clearly explained, also would be helpful.
Thanks in advance,