Title
Comparison Of Multi-Frontal And Alternating Direction Parallel Hybrid Memory Igrm Direct Solver For Non-Stationary Simulations
Abstract
Three-dimensional isogeometric analysis (IGA-FEM) is a modern method for simulation. The idea is to utilize B-splines or NURBS basis functions for both computational domain descriptions and engineering computations. Refined isogeometric analysis (rIGA) employs a mixture of patches of elements with B-spline basis functions and C-0 separators between them. This enables a reduction in the computational cost of direct solvers. Both IGA and rIGA come with challenging sparse matrix structures that are expensive to generate. In this paper, we show a hybrid parallelization method using hybrid-memory parallel machines. The two-level parallelization includes the partitioning of the computational mesh into sub-domains on the first level (MPI) and loop parallelization on the second level (OpenMP). We show that the hybrid parallelization of the integration reduces the contribution of this phase significantly. We compare the multi-frontal solver and alternating direction solver, including the integration and the factorization phases.
Year
DOI
Venue
2020
10.7494/csci.2020.21.4.3834
COMPUTER SCIENCE-AGH
Keywords
DocType
Volume
isogeometric finite element method, integration, shared memory, parallel
Journal
21
Issue
ISSN
Citations 
4
1508-2806
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
M. Wozniak1277.48
Anna Janina Bukowska200.34