Special Session 94: Homogenization based numerical methods
Contents
In this talk we present the Isotropic Diffusion Source
Approximation (IDSA) of the $\mathcal O(v/c)$ relativistic Boltzmann
equation in the comoving frame that has been developed for the
computation of neutrino radiative transfer in core-collapse
supernovae. This approximation is based on homogenization techniques
used
to derive the relevant approximations. They are then coupled together in
volume. This kind of heterogeneous domain decomposition methods lead
us to develop the formalism of fuzzy domain decomposition methods
based on Zadeh's fuzzy set theory.
We present this formalism and some results about the approximation
quality of this method.