# Basics of FEA-I

Basics of FEA-I

Learn basic concepts of Matrix Algebra, Differential Equations and their solutions and FEM-Weighted Residue Approach New

Instructor  >  Samanwita Roy

Assistant Professor with 10 years experience

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What you'll learn

• Basics of Finite Element Analysis
• Matrix Algebra and its applications
• Differential Equations and their solutions
• FEM-Weighted Residue Approach

Requirements

• Basic Mathematics
• Basics of core subjects of Mechanical/Civil/Automobile/Production Engineering

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Description

This course is the first part of the lecture series of Finite Element Analysis subject. It takes you through various topics like Matrix Algebra, Differential Equations and their solutions and FEM-Weighted Residue Approach. Various numerical are solved to explain different concepts and their applications. These topics help while solving of next course chapters and also help in understanding of ANSYS solutions. Basic Mathematics is the requirement for understanding of this subject.

We start with Introduction to Finite Element Analysis, its advantages, disadvantages and applications. Then we brush up some basics of Matrix Algebra and learn the Gauss Elimination Method for finding inverse of a higher order matrix.

Further, we move to the Basics of linear differential equations and the ways to calculate their solutions which is called the Exact Method.

Then we study FEM-Weighted Residue Approaches and the 7 methods to find solution of Linear Differential Equations which is a Finite Difference Method based on Taylor's series method and compare the solution with exact method. This is very important as ANSYS solutions need to be checked by exact solution for their accuracy. We study the Weak and Non-Weak form type methods to find the solution namely Sub-domain, Galerkin, Petrov-Galerkin, Collocation, Least Square and Rayleigh Ritz methods.

Who this course is for:

• Diploma in Mechanical/Civil/Automobile/Production Engineering Students
• Competitive Exam students like GATE, IES etc.
• Degree students of Mechanical/Automobile/Civil/Production Engineering Students

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