Implementation of the BiCGSTAB method for the Helmholtz Equation on a Maxeler Data Flow Machine
O.L. Meijers (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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Abstract
To get a clear picture of the earth crust the Helmholtz equation needs to be
solved and a high wave number is needed in order to provide fine grain details.
The Stabilised BiConjugate Gradient method needs to be implemented to solve
the Helmholtz equation. This is done on a Maxeler data flow machine to improve
calculation times. The algorithm is split into 3 parts and all of them use the same
calculation kernel. An improvement in calculation time of 2.4 times faster than in
the literature is achieved and a two times faster calculation is expected with more
modern hardware. Maxeler’s data flow machine shows great possibilities to decrease calculation times for high performance computing problems.