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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 112
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GPU AND CLOUD COMPUTING FOR ENGINEERING
Edited by: P. Iványi and B.H.V. Topping
Paper 22

Performance Modeling the HTFETI solver implementation in the ESPRESO Library

M. Beseda, L. Riha, A. Markopoulos and P. Strakos

IT4Innovations, VSB - Technical University of Ostrava, Czech Republic

Full Bibliographic Reference for this paper
M. Beseda, L. Riha, A. Markopoulos, P. Strakos, "Performance Modeling the HTFETI solver implementation in the ESPRESO Library", in P. Iványi, B.H.V. Topping, (Editors), "Proceedings of the Sixth International Conference on Parallel, Distributed, GPU and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 22, 2019. doi:10.4203/ccp.112.22
Keywords: performance model, ESPRESO, FETI, MPI, OpenMP.

Summary
The main objective of this paper is the development and implementation of the performance model for the prediction of the runtime of the Total FETI and Hybrid Total FETI methods implemented in the ESPRESO library.

The final performance model consists of several partial ones, each one created by a generalized linear regression, using R-language. This concept makes it possible to add new partial models easily to the final one. If needed, the final model can be made more precise like that by modeling more regions or expanded according to the new ESPRESO versions. These partial models are trained on the set of calibration measurements and their quality is subsequently evaluated both by investigation of residuals and 10-fold cross-validation testing. The complete, final performance model is designed for the prediction of the optimal settings of the solvers in a sense of optimal domain decomposition and the optimal number of MPI processes and OpenMP threads. The user only provides the size of the problem to be solved and the chosen FETI method.

Our tests show that this final model can predict optimal settings with an error smaller than 1s for a solver runtime that can vary between 3 and 50 seconds based on problem decomposition and parallelization setup.

Considering those results, the final model enables new users to utilize ESPRESO library as efficiently as possible with no previous experience required.

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