Seminar Details
2012-02-14 (14.00) : Model reduction of conservation laws
At Euler building
Organized by Mathematical Engineering
Speaker :
Samuel MELCHIOR (UCL)
Abstract :
In continuum mechanics, the unknown fields must satisfy a system of
conservation and constitution laws everywhere in space and time. This can
be reformulated equivalently as weak formulations that can be discretized
using the Finite Element Method (FEM). Usually, the shape and test
functions are piecewise low-order polynomial defined on a compact support.
However, considering totally discrete prolongation and restrictions spaces
can be quite more optimal. This is especially true when the motivation for
using such models is not necessarily to estimate the value of the
quantities everywhere in the domain. For instance, it might be important
to approximate only the relation between several inputs and outputs of the
systems. In this case, the order of the model can be reduced to a much
lower value without losing much accuracy. In this talk, we investigate the
connections between Model Order Reduction (MOR) and multimesh schemes on
Linear Time-Invariant (LTI), Linear Time-Varying (LTV) and nonlinear
dynamical systems.