articleArchives of Computational Methods in EngineeringJun 13, 2022HYBRID OA

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

WKWing Kam LiuSLShaofan LiHSHarold S. Park

Northwestern University · University of California, Berkeley · +1 more institution

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Abstract

Abstract This 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.

Citation impact

281
total citations
FWCI
39.83
Percentile
100%
References
252
Citations per year

Authors

3

Topics & keywords

Topics
Keywords
  • Finite element method
  • Smoothed finite element method
  • Solid mechanics
  • Element (criminal law)
  • Computer science
  • Applied mathematics
  • Calculus (dental)
  • Mathematics
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