Lecture

Convergence & Choice of Finite Element Discretizations

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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 topic of convergence and the choice of finite element discretizations. It discusses numerical pathologies such as locking and hourglass effects, providing recommendations on element formulations. The instructor emphasizes the importance of mesh convergence studies and offers criteria for selecting the appropriate finite element formulation.

Instructor

Edouard Boujo

Official source

Ontological neighbourhood

Computer engineering

Databases: Relational databases

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The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems).

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A graph database (GDB) is a database that uses graph structures for semantic queries with nodes, edges, and properties to represent and store data. A key concept of the system is the graph (or edge or relationship). The graph relates the data items in the store to a collection of nodes and edges, the edges representing the relationships between the nodes. The relationships allow data in the store to be linked together directly and, in many cases, retrieved with one operation.

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