Eighty Years of the Finite Element Method: Birth, Evolution, and Future-Reference-Cited by-同舟云学术

Eighty Years of the Finite Element Method: Birth, Evolution, and Future

Published:2022-06-13 Issue:6 Volume:29 Page:4431-4453
ISSN:1134-3060
Container-title:Archives of Computational Methods in Engineering
language:en
Short-container-title:Arch Computat Methods Eng

Author:

Liu Wing Kam,Li Shaofan^ORCID,Park Harold S.

Abstract

AbstractThis document presents comprehensive historical accounts on the developments of finite element methods (FEM) since 1941, with a specific emphasis on developments related to solid mechanics. We present a historical overview beginning with the theoretical formulations and origins of the FEM, while discussing important developments that have enabled the FEM to become the numerical method of choice for so many problems rooted in solid mechanics.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

https://link.springer.com/content/pdf/10.1007/s11831-022-09740-9.pdf

Reference280 articles.

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3. Courant R (1943) Variational methods for the solution of problems of equilibrium and vibrations. Bull Am Math Soc 49:1–23

4. McHenry D (1943) A lattice analogy for the solution of stress problems. J Instit Civ Eng 21(2):59–82

5. Prager W, Synge JL (1947) Approximations in elasticity based on the concept of function space. Q Appl Math 5(3):241–269

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