期刊
JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING
卷 14, 期 4, 页码 -出版社
ASME
DOI: 10.1115/1.4028591
关键词
-
资金
- National Science Foundation [CMMI-1232508, CMMI-1161474]
Large-scale finite element analysis (FEA) with millions of degrees of freedom (DOF) is becoming commonplace in solid mechanics. The primary computational bottleneck in such problems is the solution of large linear systems of equations. In this paper, we propose an assembly-free version of the deflated conjugate gradient (DCG) for solving such equations, where neither the stiffness matrix nor the deflation matrix is assembled. While assembly-free FEA is a well-known concept, the novelty pursued in this paper is the use of assembly-free deflation. The resulting implementation is particularly well suited for large-scale problems and can be easily ported to multicore central processing unit (CPU) and graphics-programmable unit (GPU) architectures. For demonstration, we show that one can solve a 50 x 10(6) degree of freedom system on a single GPU card, equipped with 3 GB of memory. The second contribution is an extension of the rigid-body agglomeration concept used in DCG to a curvature-sensitive agglomeration. The latter exploits classic plate and beam theories for efficient deflation of highly ill-conditioned problems arising from thin structures.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据