%T A simple parallel algebraic multigrid
%A Guy Robinson
%E Janet Edwards
%B Proceedings of WoTUG\-14: Occam and the Transputer\-Current Developments
%X This paper describes an "algebraic
multigrid" scheme which can be applied to a wide
range of matrix based problems. Multigrid schemed offer
significant gains in both numerical performance and runtimes
compared to conventional solvers. The equations for the
hierachy of grids are generated solely from the equation for
the fine mesh without generating the intermediate grids or
relying on geometrical features of the fine mesh. The
development of the code for distributed memory Multiple
Instruction Multiple Data architectures is detailed. The
numerical and run time performance is described for simple
linear equation sets and as a linear solver for coupled
equations as part a 3D computational fluid dynamics code.
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