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Note 1: >>
Since Professor Perronnet needs to spend time working with individual
participant in order to teach them how to use Mefisto, we limit the number
of participants, to 20 people. We encourage graduate students to attend.
Participants should bring their own laptop with the window or linux system
to class to install the software and to practice. If you want to attend
the class, please e-mail or Fax your
Registration Form to Miss Sun at
sunug@math.cts.nthu.edu.tw or 03-5728161
before Sept. 9, 2006.
<< Note 2: >>
Prof. Perronnet was a progenitor of the finite element software
development of the French mathematical school, which started from the
numerical analysis group of J. L. Lions during the early 1970s. He has
many decades of the finite element software development experience, and
has taught the finite element CAD courses at Universite de Paris VI for
many years. His FEM codes (Mefisto) design is very much along the lines of
thinking by mathematicians. He is also extremely generous to post ALL OF
HIS FEM SOURCE CODES online, on his website
http://www.ann.jussieu.fr/~perronnet/mefisto.gene.html
Some examples of the beautiful computer graphics of his recent
collaboration with me on molecular quantum mechanics can be seen, e.g.,
at
http://www.ann.jussieu.fr/~perronnet/vp21/vp21.html
During his visit at NCTS (9/12~9/31, 2006), he will give a short course on
the use of his FEM software Mefisto to our numerical analysis graduate
students in Taiwan. The following are the outlines of his course:
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Description:
2 hours: Mefisto, a software to solve some PDE problems
- What can be solved with Mefisto?
- Construction of 3-dimensional meshes
- Heat transfer
- Elasticity
- Eigenvalues and eigenvectors
- Examples
- Methodology to use Mefisto
- Install Mefisto on Linux or Windows-Cygwin
4 hours: Meshes with Mefisto
- Methodology to create a mesh of an object
- Top-Down analysis from available algorithms
- Bottom-Up construction
- Examples
- The options and algorithms to make Points, Lines,
Surfaces, Volumes.
- Object and its degree of Lagrange's interpolation
- Files of mesh data structure: xyznsef and xyznpef
- Exercise
2 hours: Heat Transfer
- steady, unsteady and eigenvalues-eigenvectors
- Thermal characteristics and boundary conditions (Dirichlet,
Neumann, Robin)
- Algorithms and visualization
- Exercise
2 hours: Elasticity
- Steady, unsteady and eigenvalues-eigenvectors
- Elasticity characteristics and boundary conditions (imposed
displacements and forces)
- Algorithms and visualization
- Exercise
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