Title
Towards Green Multi-Frontal Solver For Adaptive Finite Element Method
Abstract
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.
Year
DOI
Venue
2015
10.1016/j.procs.2015.05.240
INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, ICCS 2015 COMPUTATIONAL SCIENCE AT THE GATES OF NATURE
Keywords
Field
DocType
multi-frontal direct solver, adaptive finite element method, green computing
Dynamic programming,Mathematical optimization,Frontal solver,FLOPS,Matrix (mathematics),Computer science,Floating point,Algorithm,Solver,Energy consumption,Schur complement
Conference
Volume
ISSN
Citations 
51
1877-0509
0
PageRank 
References 
Authors
0.34
13
6
Name
Order
Citations
PageRank
Hassan AbouEisha1163.87
Mikhail Ju. Moshkov200.34
Konrad Jopek3254.44
Pawel Gepner411516.60
Jacek Kitowski528957.76
Maciej Paszynski619336.89