Enrollment year
2020/2021
Academic discipline
MAT/08 (NUMERICAL ANALYSIS)
Department
DEPARTMENT OF ELECTRICAL,COMPUTER AND BIOMEDICAL ENGINEERING
Curriculum
Cellule, tessuti e dispositivi
Period
1st semester (28/09/2020 - 22/01/2021)
Lesson hours
24 lesson hours
Prerequisites
Calculus for multivariate functions, vectors and matrices. Programming in MATLAB/Octave language
Learning outcomes
The course will be devoted to the introduction of the variation formulation of the stationary problema and to their numerical approximation by the finite element method.
Course contents
Basic notions of functional analysis. Sobolev spaces. Variational formulation of elliptic problems (Poisson).
Ritz-Galerkin method
Mesh in one and more dimemsions -- Some finite elements -- Approximation properties -- Error estimates for elliptic problems of second order.
MATLAB solver implementation
Solution of the Poisson problem in one dimension. Solution of the Poisson problem in two dimension: assembling the linear system, numerical quadrature, system solving. Mesh refinement.
Teaching methods
Lectures (hours/year in lecture theatre): 20
Practical class (hours/year in lecture theatre): 4
Practicals / Workshops (hours/year in lecture theatre): 0
Reccomended or required readings
Teacher's notes
Quarteroni A.. Modellistica numerica per problemi differenziali. Springer Verlag, 2009.
Braess D.. Finite Elements. Theory, Fast Solvers, and Applications in Solid Mechanics.. Cambridge University Press..
Assessment methods
Oral examination
Further information
Additional information can be found on the web page:
http://www-dimat.unipv.it/sangalli
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