An Efficient Parallelization Strategy For The Adaptive Integral Method Based On Graph Partitioning

2020 ◽  
Author(s):  
Damian Marek ◽  
Shashwat Sharma ◽  
Piero Triverio
Keyword(s):  
Graph Partitioning ◽  
Integral Method ◽  
Parallelization Strategy ◽  
Efficient Parallelization

A new efficient parallelization strategy for the QR algorithm

1994 ◽  
Vol 20 (1) ◽  
pp. 63-75 ◽  
Author(s):  
Thomas Schreiber ◽  
Peter Otto ◽  
Fridolin Hofmann
Keyword(s):  
Qr Algorithm ◽  
Parallelization Strategy ◽  
Efficient Parallelization

scholarly journals A Parallel Approach of the Enhanced Craig–Bampton Method

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3278
Author(s):  
Petr Pařík ◽  
Jin-Gyun Kim ◽  
Martin Isoz ◽  
Chang-uk Ahn
Keyword(s):  
Linear Algebra ◽  
Graph Partitioning ◽  
Large Scale ◽  
Parallel Implementation ◽  
Parallel Architecture ◽  
Structural Vibration ◽  
Accuracy Improvement ◽  
Vibration Problems ◽  
Efficient Parallelization ◽  
Reduced Matrices

The enhanced Craig–Bampton (ECB) method is a novel extension of the original Craig–Bampton (CB) method, which has been widely used for component mode synthesis (CMS). The ECB method, using residual modal compensation that is neglected in the CB method, provides dramatic accuracy improvement of reduced matrices without an increasing number of eigenbasis. However, it also needs additional computational requirements to treat the residual flexibility. In this paper, an efficient parallelization of the ECB method is presented to handle this issue and accelerate the applicability for large-scale structural vibration problems. A new ECB formulation within a substructuring strategy is derived to achieve better scalability. The parallel implementation is based on OpenMP parallel architecture. METIS graph partitioning and Linear Algebra Package (LAPACK) are used to automated algebraic partitioning and computational linear algebra, respectively. Numerical examples are presented to evaluate the accuracy, scalability, and capability of the proposed parallel ECB method. Consequently, based on this work, one can expect effective computation of the ECB method as well as accuracy improvement.

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