Towards Green Multi-frontal Solver for Adaptive Finite Element Method | Zendy

H. AbbouEisha | Zendy; Mikhail Moshkov | Zendy; Konrad Jopek | Zendy; Paweł Gepner | Zendy; Jacek Kitowski | Zendy; Maciej Paszyński | Zendy

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Towards Green Multi-frontal Solver for Adaptive Finite Element Method

Author(s) -

H. AbbouEisha,

Mikhail Moshkov,

Konrad Jopek,

Paweł Gepner,

Jacek Kitowski,

Maciej Paszyński

Publication year - 2015

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2015.05.240

Subject(s) - solver , computer science , flops , parallel computing , double precision floating point format , algorithm , floating point , mathematical optimization , mathematics , programming language

In this paper we present the optimization of the energy consumption for the multi-frontal solver algorithm executed over two dimensional grids with point singularities. The multi-frontal solver algorithm is controlled by so-called elimination tree, defining the order of elimination of rows from particular frontal matrices, as well as order of memory transfers for Schur complement matrices. For a given mesh there are many possible elimination trees resulting in different number of floating point operations (FLOPs) of the solver or different amount of data transferred via memory transfers. In this paper we utilize the dynamic programming optimization procedure and we compare elimination trees optimized with respect to FLOPs with elimination trees optimized with respect to energy consumption

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