| A NEW HIGH PERFORMANCE SPARSE STATIC SOLVER IN FINITE ELEMENT ANALYSIS WITH LOOP-UNROLLING |
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| 作者姓名： | Chen Pu Sun Shuli |
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| 作者单位： | LTSC, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China |
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| 基金项目： | Project supported by the Research Fund for the Doctoral Program of Higher Education （No.20030001112）. |
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| 摘 要： | In the previous papers, a high performance sparse static solver with two-level unrolling based on a cell-sparse storage scheme was reported. Although the solver reaches quite a high efficiency for a big percentage of finite element analysis benchmark tests, the MFLOPS （million floating operations per second） of LDL^T factorization of benchmark tests vary on a Dell Pentium IV 850 MHz machine from 100 to 456 depending on the average size of the super-equations, i.e., on the average depth of unrolling. In this paper, a new sparse static solver with two-level unrolling that employs the concept of master-equations and searches for an appropriate depths of unrolling is proposed. The new solver provides higher MFLOPS for LDL^T factorization of benchmark tests, and therefore speeds up the solution process.
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| 关 键 词： | 高性能计算机 稀疏矩阵 有限元分析 存储设备 逻辑运算 |
| 收稿时间： | 2004-07-07 |
| 修稿时间： | 2005-01-04 |
A NEW HIGH PERFORMANCE SPARSE STATIC SOLVER IN FINITE ELEMENT ANALYSIS WITH LOOP-UNROLLING |
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| Chen Pu Sun Shuli.A NEW HIGH PERFORMANCE SPARSE STATIC SOLVER IN FINITE ELEMENT ANALYSIS WITH LOOP-UNROLLING[J].Acta Mechanica Solida Sinica,2005,18(3):248-255. |
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| Authors: | Chen;Pu;Sun;Shuli |
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| Abstract: | In the previous papers, a high performance sparse static solver with two-level un-rolling based on a cell-sparse storage scheme was reported. Although the solver reaches quite a high effciency for a big percentage of finite element analysis benchmark tests, the MFLOPS (millionffoating operations per second) of LDLT factorization of benchmark tests vary on a Dell PentiumIV 850 MHz machine from 100 to 456 depending on the average size of the super-equations, i.e.,on the average depth of unrolling. In this paper, a new sparse static solver with two-level unrollingthat employs the concept of master-equations and searches for an appropriate depths of unrollingis proposed. The new solver provides higher MFLOPS for LDLT factorization of benchmark tests,and therefore speeds up the solution process. |
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| Keywords: | high performance computing sparse matrix finite element analysis |
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