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

被引:98
作者
Liu, Wing Kam [1 ]
Li, Shaofan [2 ]
Park, Harold S. [3 ]
机构
[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
[2] Univ Calif Berkeley, Dept Civil & Environm Engn, Berkeley, CA 94720 USA
[3] Boston Univ, Dept Mech Engn, Boston, MA 02215 USA
关键词
COMPUTATIONAL FLUID-DYNAMICS; CONSISTENT CLUSTERING ANALYSIS; CRYSTALLOGRAPHIC DISLOCATION DENSITY; CONVECTION-DOMINATED FLOWS; NAVIER-STOKES EQUATIONS; PHASE-FIELD MODEL; EXACT SHELL-MODEL; STRUCTURAL-ANALYSIS; GALERKIN METHODS; CRACK-GROWTH;
D O I
10.1007/s11831-022-09740-9
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
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.
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页码:4431 / 4453
页数:23
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