A simple parallel algebraic multigrid
Authors: Robinson, Guy
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.
Proceedings of WoTUG-14: Occam and the Transputer-Current Developments, Janet Edwards, 1991, pp 62 - 75 published by IOS Press, Amsterdam
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