Applied Finite Elements
||6 credit points
||Bokhove, O. (Universiteit Twente), Maubach, J.M.L. (Technische Universiteit Eindhoven), Vermolen, F. (Technische Universiteit Delft)
||firstname.lastname@example.org, J.M.L.Maubach@tue.nl, F.J.Vermolen@tudelft.nl
||To aim of the course is to acquaint the student with implementational issues of the finite-element method.
||Finite element methods provide accurate and efficient numerical techniques to solve partial differential equations. These equations model a wide variety of physical and technical problems and can generally only be solved with
numerical techniques. Finite elements offer a great flexibility to deal with complex domains, adaptivity and are supported with a highly developed mathematical theory. This course aims at teaching the basic concepts of finite element methods, with emphasis on partial differential equations (pde’s). The focus is on practical aspects, how to construct and solve finite element discretizations for a variety of pde’s and apply these techniques to realistic model problems by making your own finite element programs. This course focuses on the practical aspects of FEM
||The course contains three inductory lectures on one-dimensional implementation issue of finite-element methods. These sessions take place in Utrecht. Furthermore, the course contains one intensive week in Twente. Finally, a lab assignment is to be completed at one of the universities of Delft, Twente or Eindhoven. In Delft, the participant is also subjected to an oral examination.
||The achievements of the participant are evaluated by:
A. three series of take-home assignments;
B. a lab session at either the Delft, Twente or Eindhoven university;
For Delft students: C. an oral examination.
For the Delft students, part A determines 50 % of the overall grade.
||J. van Kan, A. Segal, F. Vermolen: Numerical Methods in Scientific Computing, VSSD, 2005 (improved version 2008), Delft, The Netherlands
||Partial Differential Methods, Introductory Numerical Analysis (Interpolation, time integration, finite differences, nonlinear equations, numerical integration / quadrature)