Enrollment year
2021/2022
Academic discipline
MAT/08 (NUMERICAL ANALYSIS)
Department
DEPARTMENT OF MATHEMATICS "FELICE CASORATI"
Curriculum
PERCORSO COMUNE
Period
2nd semester (01/03/2022 - 10/06/2022)
Lesson hours
48 lesson hours
Prerequisites
Basic knowledge of numerical analysis, mathematical analysis, partial differential equations and Matlab language.
It is preferable to have attended, or to attend during the same term, the Finite Elements class.
Learning outcomes
The course aims at studying in detail some modern methods for the numerical approximation of partial differential equation that are relevant for applications.
The methods under consideration will be analysed theoretically and implemented numerically.
Course contents
The course will focus on some advanced techniques for the solution of partial differential equations that complement and extend the programme of the Finite Element course.
Some examples are: boundary element method (BEM), isogeometric analysis (IGA), virtual element method (VEM), discontinuous Galerkin (DG) method, immersed boundary method (IBM), domain decomposition (DD), eigenvalue problems, space-time Galerkin methods, preconditioning techniques.
Teaching methods
Classroom lectures, tutorials in the computer lab, study of research papers, seminars.
Reccomended or required readings
Notes prepared by the lecturer.
Scientific papers provided by the lecturer.
Assessment methods
Oral exam and report.
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