Introduction Examples Bibliography on finite element Discrete versus continuous Element Global problem

Georges Cailletaud

Description

Niveau: Supérieur
Introduction Examples Bibliography on finite element Discrete versus continuous Element Global problem Introduction to Finite Element Method Georges CAILLETAUD & Saber EL AREM Centre des Materiaux, MINES ParisTech, UMR CNRS 7633 WEMESURF course, Paris 21-25 juin 1/79

• dynamic problems ?


• numerical methods


• science can


• basis-based approach


• many physical


• formulation algorithm

Sujets

• Google
• Numerical analysis

Informations

• Publié par: chaeh
• Nombre de lectures: 47
• Langue: Français
• Poids de l'ouvrage: 2 Mo

Extrait

Introduction

Examples

Bibliography on finite element

Introduction

Georges

Discreteversuscontinuous

to

Finite

CAILLETAUD

&

Element

Global problem

Element

Saber

EL

Method

AREM

CentredesMate´riaux,MINESParisTech,UMRCNRS7633

WEMESURF

1/79

course,

Paris

21-25

juin

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Introduction on finite elementExamples Bibliography Discreteversus problemcontinuous Element Global Numerical methods for PDE solving

Many physical phenomena in engineering and science can be described in terms ofpartial differential equations (PDE). In general, solving these equations by classical analytical methodsfor arbitrary shapes is almost impossible. The finite element method (FEM) is a numerical approach by which these PDE can be solved approximately. The FEM is a function/basis-based approach to solve PDE. FE are widely used in diverse fields to solve static and dynamic problems−Solid or fluid mechanics, electromagnetics, biomechanics, etc. Introduction 4/

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Introduction Discrete on finite elementExamples Bibliographyversus problemcontinuous Element Global FE problem solving steps

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Two key words:Discretization& 1 Definition of the physical pro the model. 2 Formulation of the governing equations. Systems of PDE, ODE, algebraic equations, define initial conditions and/or boundary conditions to get a well-posed problem. 3 Discretization of the equations. 4 Solution of the discrete system of equations. 5 Interpretation of the obtained results. 6 Errors analysis.

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