Paper Info
Title
Performance comparisons of geometric multigrid solvers and balancing domain decomposition solvers.
Abstract
Multigrid and domain-decomposition methods are now widely used in large-scale simulation studies. Meanwhile, many types of preconditioners are available for speeding the convergence. Users of analysis models are interested in the method or preconditioner that minimizes the computing time. In this paper, we analyze a thermal problem and a solid problem using two free, open-source software programs—the UG4 framework and the ADVENTURE system—based on geometric multigrid (GM) solvers and balancing domain-decomposition (BDD) solvers. We examine and report the computing times and iteration numbers to convergence of the two programs, and generate a common software interface between the UG4 framework and ADVENTURE system. Through this software interface, we can compare the solvers of the two software systems using the same mesh data. The results were presented on the CX400 system at the Information Technology Center of Nagoya University, Japan. The convergence rate of GM solver improved after suitable smoothing and scaling to finer grids. The BDD solver is suitable for large-scale analyses of structures with detailed and complex geometries.
Year
DOI
Venue
2020
10.1007/s00791-020-00323-4
Computing and Visualization in Science
Keywords
DocType
Volume
Parallel simulation, Geometric multigrid method, Hierarchical domain decomposition method, UG4 framework, ADVENTURE system
Journal
23
Issue
ISSN
Citations 
1
1432-9360
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Hongjie Zheng100.34
Ryuji Shioya201.69
Hiroshi Kawai312.08
Sebastian Reiter400.34
Gabriel Wittum500.34