Description

• Title:
  Alternating directions parallel hybrid memory iGRM direct solver for non-stationary simulations
• Creator:
  Woźniak, Maciej;
  Bukowska, Anna Janina
• Description:
  The 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 the engineering computations. Refined isogeometric analysis (rIGA) employs a mixture of patches of elements with B-spline basis functions, and $C^0$ separators between them. It enables a reduction of the computational cost of direct solvers. Both IGA and rIGA come with challenging sparse matrix structure, that is expensive to generate. In this paper, we show a hybrid parallelization method to reduce the computational cost of the integration phase 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 hybrid parallelization of the integration reduces the contribution of this phase significantly. Thus, alternative algorithms for fast isogeometric integration are not necessary.
• Object availability:
  free access
• Rights:
  Copyright (c) 2020 Computer Science;
  https://creativecommons.org/licenses/by/4.0
• Date:
  2020.11.03
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Peer-reviewed Article
• Language:
  English
• Source:
  Computer Science; Vol. 21 No. 4;
  2300-7036;
  1508-2806
• Format:
  application/pdf
• Publisher:
  AGH University of Krakow, Faculty of Computer Science
• Relation: https://journals.agh.edu.pl/csci/article/view/3834/2535
• Subject:
  isogeometric finite element method;
  integration;
  shared memory;
  parallel
• Identifier: https://journals.agh.edu.pl/csci/article/view/3834 ;
  10.7494/csci.2020.21.4.3834
• Data provider:
  AGH University of Science and Technology Journals
• Can I use it?:
  seek permission
• Type:
  text