The aim of this project is to find efficient techniques for the
solution of radiation transport equations. Interest in the solution
of radiation transport equations stems from the modelling of
applications found in, for example, combustion, astrophysics and
laser fusion.
Features such as strong nonlinearities and large jumps in the
coefficients make these equations difficult to solve and they can
consume considerable computational resources if efficient solution
techniques are not used. We are developing a package which can solve
problems more finely resolved then what is in current practise by
fully exploiting the computational resources available on a given
machine. We aim to meet such goals by using, and extending, the tools
which are at the forefront of both the mathematical and computer
sciences. These tools include optimal solution techniques like the
multigrid and domain decomposition methods, as well as high accuracy
discretisation approximations arising from adaptive finite element
methods. We also plan to address issues where algorithms and
architecture interact, such as parallel scalability and the efficient
use of memory systems for obtaining high performance.
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