Based on trace theory, we study efficient methods for concurrent integration of B-spline basis functions in IGA-FEM. We consider several scenarios of parallelization for two standard integration methods; the classical one and sum factorization. We aim to efficiently utilize hybrid memory machines, such as modern clusters, by focusing on the non-obvious layer of the shared memory part of concurrency. We estimate the performance of computations on a GPU and provide a strategy for performing such computations in practical implementations.
@article{arxiv.2207.00280,
title = {A study of efficient concurrent integration methods of B-Spline basis functions in IGA-FEM},
author = {Maciej Woźniak and Anna Szyszka and Sergio Rojas},
journal= {arXiv preprint arXiv:2207.00280},
year = {2022}
}