First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
MATHEMATICAL ENGINEERING
Course unit
NUMERICAL METHODS FOR HIGH PERFORMANCE COMPUTING
INP5070472, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2018/19

Information on the course unit
Degree course Second cycle degree in
MATHEMATICAL ENGINEERING
IN2191, Degree course structure A.Y. 2017/18, A.Y. 2019/20
N0
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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 HIGH PERFORMANCE COMPUTING
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
Teacher in charge CARLO JANNA MAT/08

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

Course unit organization
Period Second semester
Year 2nd Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 02/03/2020
End of activities 12/06/2020
Show course schedule 2019/20 Reg.2017 course timetable

Examination board
Board From To Members of the board
2 2017 01/10/2017 15/03/2020 JANNA CARLO (Presidente)
FERRONATO MASSIMILIANO (Membro Effettivo)
BERGAMASCHI LUCA (Supplente)

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: Completeness and orderliness of essay; clarity of exposition; rigour in using the technical terminology. The level of correspondence to these criteria will determine the graduation of the judgement and, consequently, the final mark.
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: Frontal teaching and practical exercises, that the student has to further develop and deepen with his study.
Additional notes about suggested reading: Lesson Notes and books for deepening the personal knowledge.
Textbooks (and optional supplementary readings)