Numerical Methods for Partial Differential Equations 1

A.Y. 2017/2018
9
Max ECTS
78
Overall hours
SSD
MAT/08
Language
Italian
Learning objectives
To present the finite element method by applying it to elliptic boundary value problems and to provide an error analysis of its approximate solution.
Expected learning outcomes
The understanding of the finite element method and the ability to interpret its results for elliptic boundary value problems. The capability to implement the finite element method for stationary problems with the help of the C library ALBERTA.
Course syllabus and organization

Single session

Responsible
Lesson period
First semester
Course syllabus
Introduction. Linear elliptic equations of second order. One-dimensional finite elements. Triangulations. Lagrange elements. Sobolev spaces. Weak formulations of boundary value problems. Petrov-Galerkin methods. Finite elements. Approximation with piecewise polynomials. Convergence and error estimates. Inverse estimates. Numerical integration. Adaptivity.
MAT/08 - NUMERICAL ANALYSIS - University credits: 9
Laboratories: 36 hours
Lessons: 42 hours
Professor(s)
Reception:
on appointment by email
Skype or Microsoft Teams