ADVANCED NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Enrollment year

2019/2020

Academic year

2019/2020

Regulations

DM270

Academic discipline

MAT/08 (NUMERICAL ANALYSIS)

Department

DEPARTMENT OF MATHEMATICS "FELICE CASORATI"

Course

MATHEMATICS

Curriculum

PERCORSO COMUNE

Year of study

1°

Period

2nd semester (02/03/2020 - 09/06/2020)

ECTS

Lesson hours

48 lesson hours

Language

English

Activity type

ORAL TEST

Teacher

BREZZI FRANCO (titolare) - 2 ECTS
MOIOLA ANDREA - 2 ECTS
SANGALLI GIANCARLO - 2 ECTS

Prerequisites

Basic knowledge of numerical analysis, mathematical analysis, partial differential equations and MATLAB language.
Previous attendance of the Finite Elements course is preferable.

Learning outcomes

The course aims at studying in detail some modern methods for the numerical approximation of partial differential equations that are relevant for applications.
The methods under consideration will be analyzed theoretically.

Course contents

The course will focus on some advanced techniques for the solution of partial differential equations that extend the program of the Finite Element course.
Some examples are: stabilization of Mixed FEMs (for the Stokes problem or for domain decomposition); a-posteriori error analysis; numerical solution of variational inequalities; Virtual Element Method (VEM)

Teaching methods

Classroom lectures

Reccomended or required readings

Notes prepared by the lecturer.
Scientific papers provided by the lecturer.

Assessment methods

Oral exam

Further information

Sustainable development goals - Agenda 2030

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