Lecture

Finite Element Method: Key Concepts

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In course

ME-373: Finite element modelling and simulation

L'objectif de ce cours est d'apprendre à réaliser de manière rigoureuse et critique des analyses par éléments finis de problèmes concrets en mécanique des solides à l'aide d'un logiciel CAE moderne. ...

Description

This lecture covers the key concepts behind the Finite Element Method, including simplifying integration, system of equations, coordinate transformation, automation of integration, numerical integration, and defining a Finite Element Model. It explains the use of shape functions, elementary stiffness matrix, and Gauss points for numerical integration.

Instructor

Edouard Boujo

Official source

Ontological neighbourhood

Mathematics

Analysis: Numerical analysis

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Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. Many differential equations cannot be solved exactly. For practical purposes, however – such as in engineering – a numeric approximation to the solution is often sufficient. The algorithms studied here can be used to compute such an approximation.

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