TMA631 Projektkurs: partiella differentialekvationer TM
Spring 2001
Teacher
Klas Samuelsson
Course description
The course complements the PDE courses within the TM program. The aim
of the course is to give an insight into the more practical details of
scientific computations with a special focus on Partial differential
equations.
The course is project based and the main work will be done within the
framework of student projects. In addition to this I will give
lectures introducing the diffpack system and in addition giving an
overview of the current methods for
solving PDE problems with computers.
I have made some suggestions to projects here.
The main tool for for numerical simulations which is suggested to be
used for the project is Diffpack. Part of the available lectures will be used
to introduce this library for finite element computations.
Some links and hints for Diffpack is given here.
Schedule
The available time for lectures are Mondays 13-17 and Fridays
8-12 in MD1. Not all of these lecture times will be used.
In the beginning there will be more lectures in order
to faster get started with the projects.
The remaining time I'm available for consultations.
Literature
H.P. Langtangen:
Computational Partial Differential Equations,
Springer-Verlag, 1999.
Hand out material. Information will be avaliable at the web page for
the course.
It will also be useful with a book on C++.
I have made a small page with links to various other places.
Detailed course program
This is a preliminary description of the main topics the lectures will cover:
- Introduction to Diffpack
- C++ and Object Oriented Programming
- Menu use Visualization and other Tools
Finite element methods:
- Overview
- Implementation
- Model problems
- Datastructures
- Efficiency
- Extensions
- Time dependent problems
- Nonlinear PDEs
- Application areas
- Fluid mechanics
- Solid mechanics
- Mesh generation, Preprocessing
- Methods
- Adaptivity
- Error control
- Multigrid
A guest lecture by Mårten Levenstam, Crash Simulation, Volvo Cars
Safety Center, is planned.
Examination
Written and oral presentation of the projects.
Additional material
I will later add additional information here.
My address
E-mail klassam@math.chalmers.se
WWW http://www.math.chalmers.se/~klassam
Office Eklandagatan 80, (The Aseco villa)
Mail address Matematiska Institutionen
Chalmers Tekniska Högskola
412 96 Göteborg
Sverige
Telephone 031 772 5369
Fax 031 772 3595
Home 031 22 41 58
klassam@math.chalmers.se
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