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Université Paris 13
MACS
2
Projects in applied
mathematics and scientific computing
Professor : Caroline Japhet
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Many physical phenomena can be formulated as
differential equations, for example the airflow
around an aircraft, the evolution
of a glacier (see also here)
or the temperature in your room. Most of these equations however
can not be solved exactly by analytical tools. Their solution
has to be approximated using numerical methods. The goal of this
course is to implement finite element methods in 2D learned in
numerical analysis course of MACS 2. That is, starting with a
physical model problem, to perform and implement finite element
methods to solve it, and interpret the simulations results (are
the results accurate and close to the physics ?). We use
the Matlab
langages first, to implement the methods in 1D. Then, you will
be able to develop prototype codes with Matlab and Freefem++
. Once the initial problem is validate, you will be able to
define relevant tests to recover the theoretical results
(consistency, stability,...) studied in class. You will be able
to understand problems in your calculations and deal with them.
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