Course code  TUD01 
Course title  Introduction into Finite Elements and Algorithms 
Institution  Delft University of Technology 
Course address  Numerical Analysis Group  Delft Institute of Applied Mathematics (DIAM)  TU Delft 
City  Delft 
Minimum year of study  3rd year 
Minimum level of English  Fluent 
Minimum level of French  None 
Key words  Finite Element Method, Poisson Equation, Heat Equation 
Language  English 
Professor responsible  Dr. Domenico Lahaye 
Telephone  +31.015.27.87.257 
Fax  +31.015.27.87.209 
d.j.p.lahaye@tudelft.nl  
Participating professors  Dr. D. Lahaye 
Number of places  Minimum: 40, Maximum: 45, Reserved for local students: 
Objectives  This course provides understanding in the basic principles of the finite element method (FEM) for solving canonical elliptic and parabolic partial differential equations modeling diffusion and transport phenomena. Unlike courses elaborating the mathematical foundations of the FEM on one hand, and those focussing on a particular software package for solving advanced engineering applications on the other end of the spectrum, this course discusses the algorithmic aspects of the FEM. Starting from either a boundary or initial value problem, the variational formulation is derived to be able to subsequentially discretize the problem in space and time. The elementbyelement construction of the discrete problem and algorithms to solve it are presented. At the end of this course students will have gained the theoretical knowledge and constructed a software framework enabling them to build their own finite element solver package.

Programme to be followed  Monday afternoon: introduction to programming in Matlab. Tuesday through Thursday: lectures in the morning and lab sessions in the afternoon. Friday morning: lab session. Friday afternoon: presentations by industrial partners.

Prerequisites  Following this course requires having succesfully completed a first year course in linear algebra (thus being familiar with vector spaces and linear systems of equations, see e.g. David Lay, Linear Algebra and Its Applications); in calculus (thus being familiar with the differention and integration of functions of several variables and analytical methods for solving ordinary differential equations, see e.g. James Stewart, Calculus); and in numerical analysis (thus being familiar with numecal techniques for differentiation and integration of a function in one variable, see e.g. Richard Burden and Douglas Faires, Numerical Analysis). For this course a basic knowledge of English is indispensable. 
Course exam  By active participation in the lectures in the morning and by completion of the lab sessions in the afternoon. More information: more information on the course is available at http://ta.twi.tudelft.nl/nw/users/domenico/intro_fem/intro_fem.html 