Approximation Methods in Engineering

Code:

MMC001

Acronym:

MAE

Keywords
Classification	Keyword
OFICIAL	Engineering

Instance: 2021/2022 - 1S

Active?	Yes
Responsible unit:	Mathematics Section
Course/CS Responsible:	Master in Computational Mechanics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MMC	6	Syllabus since 2011/12	1	-	7,5	70	202,5

Teaching language

English

Objectives

The disciple aims to introduce the essential concepts and an unifying basis of the more used numerical methods in computational models in Solid and Fluid Mechanics. 

 

Learning outcomes and competences

It is expected that the student acquires a broader view of the nature and applicability of these methods and consequently, a more positive attitude to deal with different problems of those previously studied but that may be addressed with the same methods.

Working method

Presencial

Program

Finite Difference Method in the solution of differential and partial differential equations. Elliptic, parabolic and hyperbolic partial differential equations. Convection /diffusion problems. Weighted Residual Method. Galerkin Method. Point Collocation Method. Sub-domain Method. Weak forms. Convection /diffusion problems: Petrov-Galerkin Method.  Finite Element Method: brief introduction. Linear and quadratic elements. Natural coordinates. Isoparametric elements. Derivatives and integration. Numerical integration. Finite Volume Method: brief introduction Convection /diffusion problems.

Mandatory literature

Zienkiewicz, O. C.., Morgan,K.; Finite elements and aproximation. ISBN: 0-471-89089-8
Versteeg, H. K; An introduction to computational fluid dynamics.. ISBN: 0-582-21884-5
César de Sá, J.; Métodos de Aproximação em Engenharia

Teaching methods and learning activities

Theoretical classes consisting on the detailed exposition of the program of the discipline, illustrated with the resolution of engineering application examples. Solution of some problems using MATLAB.

Type of evaluation: Distributed evaluation with practical assignments.
Terms of frequency: Participation in the classes.

Formula Evaluation: In the final classification the evaluation component has a 100% weight.

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation	Weight (%)
Trabalho escrito	100,00
Total:	100,00

Calculation formula of final grade

Not applicable

Observations

Link for online classes:
https://videoconf-colibri.zoom.us/j/82609715684?pwd=R1pmSTFyM0QweUx6MU5FU1ZhRm52UT09
Password: 358125