Question

What is direct formulation in finite element method?

Answer 1

What exactly is Finite element analysis? How would one explain the basic concept to an undergrad friend?

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Umut Çivici, MSc Mechanical Engineering & Solid Mechanics, Istanbul Technical University

Answered Nov 7, 2017

Originally Answered: What is finite element method?

Okay as people explained I m just going to cover it up a little bit in details.

WHAT IS F.E.M ?

Finite element method is a numerical method firstly you need to understand that so what is a numerical method lets cover that ;

Numerical method : is a mathematical tool designed to solve numerical problems. The implementation of a numerical method with an appropriate convergence check in a programming language is called a numerical algorithm.

In our case we use numerical method term because we are trying to solve partial differantial equations with the help of finite element methods. So basically we are doing some math. in order to solve some equations.

Types of Finite Element Methods:

Linear systems

Non-linear systems

So what are the basic equations for these systems;

[K]*{U}={R}

[K(u)]*{U}={R}