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

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          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.

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          Multilayer feedforward networks are universal approximators

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            Physics-Informed Neural Networks: A Deep Learning Framework for Solving Forward and Inverse Problems Involving Nonlinear Partial Differential Equations

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              Approximation by superpositions of a sigmoidal function

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                Author and article information

                Contributors
                Journal
                Archives of Computational Methods in Engineering
                Arch Computat Methods Eng
                Springer Science and Business Media LLC
                1134-3060
                1886-1784
                October 2022
                June 13 2022
                October 2022
                : 29
                : 6
                : 4431-4453
                Article
                10.1007/s11831-022-09740-9
                2982c0e3-3bd4-4a17-99ee-1e334c76346a
                © 2022

                https://creativecommons.org/licenses/by/4.0

                https://creativecommons.org/licenses/by/4.0

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