(1深圳市广厦软件有限公司，518028)， (2广东省建筑设计研究院，广州510010)
［提要］多波前法算法可以求解十万个自由度以上的大型结构方程组，其求解速度和存储效率都优于传统算法，并可统一处理病态矩阵。基于大型工程的数值模拟验证了多波前法的稳定与高效。该方法已应用在深圳市广厦软件有限公司的“建筑结构通用分析与设计软件GSSAP”中。
［关键词］结构方程；刚度矩阵；稀疏矩阵；多波前法；计算机；数值方法
Sparse Multifrontal Solver for Solving Large-scale Structural Equations/Chen Yingshi１, Wu Wenyong１, Huang Zhenkang１, Tong Huibo１，Jiao Ke２(1 Shenzhen Camicro Software Co.,Ltd., Shenzhen 518028, China; 2 The Architectural Design and Research Institute of Guangdong Province, Guangzhou 510010,China)
Abstract: A sparse multifrontal method for solving large-scale structural equations is presented. The operations in frontal matrix are based on BLAS. The memory requirement of multifrontal method is less than band solvers and frontal solvers. It has more potential for parallelism. A robust algorithm is presented to deal with the ill-matrix. The efficiency is illustrated by some largescale real buildings. This method is implemented in the GSSAP commercial software.
Keywords: structural equations; sparse matrix; multifrontal method