First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
MATHEMATICAL ENGINEERING
Course unit
NUMERICAL METHODS FOR CONTINUOUS SYSTEMS
INP5070384, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
MATHEMATICAL ENGINEERING (Ord. 2017)
IN2191, Degree course structure A.Y. 2017/18, A.Y. 2017/18
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Degree course track MATHEMATICAL MODELLING FOR ENGINEERING AND SCIENCE [001PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination NUMERICAL METHODS FOR CONTINUOUS SYSTEMS
Department of reference Department of Civil, Environmental and Architectural Engineering
Mandatory attendance No
Language of instruction English
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
No lecturer assigned to this course unit

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses MAT/08 Numerical Analysis 6.0

Mode of delivery (when and how)
Period Second semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 26/02/2018
End of activities 01/06/2018

Syllabus
Target skills and knowledge: Objective
Introduce the students to the advanced topics in the numerical solution of PDEs modeling continuous systems
Outcomes
A student who has met the objectives of the course will have a fundamental knowledge of :
- Numerical methods for CFD
- Numerical methods for Computational Mechanics
Examination methods: Oral examination with discussion on the student project
Assessment criteria: Critical knowledge of the course topics. Ability to present the studied material. Discussion of the student project.
Course unit contents: 1. Navier-Stokes and de Saint-Venant equations and their simplifications: Stokes problem; convection-diffusion equation; linear elasticity;
2. FEM methods and stabilization (INF-SUP/LBB condition);
3. Mixed formulations and saddle point problems;
4. Finite volumes and finite differences;
5. Extensions to systems of PDEs;
6. Connections between finite elements, finite volumes, finite differences and spectral methods;
7. Solution of real-world problems: mesh construction; boundary conditions; nonlinear and stiff problems;
8. Solution of associated linear and nonlinear algebraic systems;
9. Modern methods of projection into divergence free spaces;
10. Practical implementations.
Planned learning activities and teaching methods: Lecture supported by tutorial, assignment, exercises and laboratory activities. Students are required to work on computer implementation of both linear algebra and discretization methods using the techniques developed during the course lectures (Matlab/Octave is suggested but other programming languages of their choice are allowed) for the solution of a practical problem as indicated by the teacher.
Additional notes about suggested reading: Lecture notes and reference books will be given by the lecturer.
Textbooks (and optional supplementary readings)
  • Quarteroni, Alfio; Valli, Alberto, Numerical approximation of partial differential equationsAlfio Quarteroni, Alberto Valli. Berlin: Springer, 1994. Cerca nel catalogo