Eighty Years of the Finite Element Method: Birth, Evolution, and Future | Archives of Computational Methods in Engineering
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.
The year 2021 marks the eightieth anniversary of the invention of the finite element method (FEM), which has become the computational workhorse for engineering design analysis and scientific modeling of a wide range of physical processes, including material and structural mechanics, fluid flow and heat conduction, various biological processes for medical diagnosis and surgery planning, electromagnetics and semi-conductor circuit and chip design and analysis, additive manufacturing, and in general every conceivable problem that can be described by partial differential equations (PDEs). The…
saved by
related reading
- Galerkinfischerp.cs.illinois.edu
- num_linear_saddle_prob_2.pdfwias-berlin.de
- MECHE PEOPLE: Klaus-Jürgen Bathe | MIT Department of Mechanical Engineeringmeche.mit.edu
- statement.pdfcims.nyu.edu
- Finite element exterior calculus: from Hodge theory to numerical stabilityarxiv.org
- Finite difference methoden.wikipedia.org
- Spectral methoden.wikipedia.org
- Richard Feynman and The Connection Machine — LONG NOW IDEASlongnow.org
- Mathematical optimization - Wikipediaen.wikipedia.org
- What Problems to Solve - By Richard Feynmangenius.cat-v.org
- Richard Feynman - Wikipediaen.wikipedia.org
- The Weak Form Is Stronger Than You Thinkarxiv.org