Computational PDEs at AIMS

Part II
10. 12. 2007 - 15. 12. 2007

Prof. Carsten Carstensen, Hella Rabus



Assignment

1. Assignment CPDEHand in Tuesday, 2007/12/18 by 12 midnight or 24:00

Lecture

Lecture Notes
Bibliography
Finite Element Methods (Chapter 4 of Encyclopedia of Computational Mechanics)S. C. Brenner and C. Carstensen (2004)
Remarks around 50 lines of Matlab: short finite element implementation J. Alberty, C. Carstensen and S. A. Funken (1999)
Matlab Implementation of the Finite Element Method in ElasticityJ. Alberty, C. Carstensen, S. A. Funken and R. Klose (2002)
Three Matlab Implementations of the Lowest-prder Raviart-Thomas FEM with a Posteriori Error Control C. Bahriawati and C. Carstensen (2005)

Tutorial

Tutorial help
Octave (and Matlab) introduction (79KB) If you are short on experience in Matlab and Octave you may want to go through this introduction first.
Tutorial handouts
Model problems (59KB) Definition of five model problems which are are solved repeatedly by different strategies.
Tutorial 1 (125KB) This tutorial shows how to implement a P1 finite element scheme for a simple model problem.
Tutorial 2 (110KB) The topic of this tutorial is AFEM, here various mesh generation and marking strategies are explained.
Tutorial 3 (45KB) Discover the differences between the convergence rates of solutions generated by uniform, graded or adaptive mesh refinement using the FFW package.
Tutorial software
FEM15 (2.2KB) New Version, 2007/12/11, 11:33 am
This is a very short program to demonstrate P1-FEM on a simple model problem.
FEM50 (236KB) This program demonstrates P1 and Q1 FEM with different boundary conditions.
FFW for Octave (1.5MB) Finite element FrameWork
A package for experimenting with AFEM.
Restricted to the capabilities of the current version of octave 2.9.17