A HIGHLY SCALABLE MULTILEVEL SCHWARZ METHOD WITH BOUNDARY GEOMETRY PRESERVING COARSE SPACES FOR 3D ELASTICITY PROBLEMS ON DOMAINS WITH COMPLEX GEOMETRY
文献类型：期刊论文
| 作者 | Kong, Fande; Cai, Xiao-Chuan |
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2016 |
| 英文摘要 | We consider overlapping Schwarz algorithms for solving linear and nonlinear systems of equations arising from the finite element discretization of elasticity problems on unstructured meshes in three dimensions. The parallel scalability of Schwarz methods is determined almost completely by how the coarse space is constructed. In this paper, we introduce a low cost, boundary geometry preserving coarse mesh that shares the same boundary geometry with the fine mesh but has a better scalability than the coarse mesh obtained by uniformly coarsening the fine mesh. A new coarsening algorithm and a partitioning strategy are developed. We numerically show that a multilevel Schwarz method with the new coarse spaces is highlyscalable, in terms of the total compute time, for solving some three-dimensional linear and nonlinearelasticity equations discretized on unstructured meshes with several hundreds of millions of unknowns andon a supercomputer with over 10,000 processor cores. |
| 收录类别 | SCI |
| 原文出处 | http://epubs.siam.org/doi/abs/10.1137/15M1010567 |
| 语种 | 英语 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/10281]  |
| 专题 | 深圳先进技术研究院_数字所 |
| 作者单位 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
| 推荐引用方式 GB/T 7714 | Kong, Fande,Cai, Xiao-Chuan. A HIGHLY SCALABLE MULTILEVEL SCHWARZ METHOD WITH BOUNDARY GEOMETRY PRESERVING COARSE SPACES FOR 3D ELASTICITY PROBLEMS ON DOMAINS WITH COMPLEX GEOMETRY[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2016. |
| APA | Kong, Fande,&Cai, Xiao-Chuan.(2016).A HIGHLY SCALABLE MULTILEVEL SCHWARZ METHOD WITH BOUNDARY GEOMETRY PRESERVING COARSE SPACES FOR 3D ELASTICITY PROBLEMS ON DOMAINS WITH COMPLEX GEOMETRY.SIAM JOURNAL ON SCIENTIFIC COMPUTING. |
| MLA | Kong, Fande,et al."A HIGHLY SCALABLE MULTILEVEL SCHWARZ METHOD WITH BOUNDARY GEOMETRY PRESERVING COARSE SPACES FOR 3D ELASTICITY PROBLEMS ON DOMAINS WITH COMPLEX GEOMETRY".SIAM JOURNAL ON SCIENTIFIC COMPUTING (2016). |
入库方式： OAI收割
来源：深圳先进技术研究院
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