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(1深圳市廣廈軟件有限公司，518028)， (2廣東省建筑設(shè)計(jì)研究院，廣州510010)
［提要］多波前法算法可以求解十萬個(gè)自由度以上的大型結(jié)構(gòu)方程組，其求解速度和存儲(chǔ)效率都優(yōu)于傳統(tǒng)算法，并可統(tǒng)一處理病態(tài)矩陣?；诖笮凸こ痰臄?shù)值模擬驗(yàn)證了多波前法的穩(wěn)定與高效。該方法已應(yīng)用在深圳市廣廈軟件有限公司的“建筑結(jié)構(gòu)通用分析與設(shè)計(jì)軟件GSSAP”中。
［關(guān)鍵詞］結(jié)構(gòu)方程；剛度矩陣；稀疏矩陣；多波前法；計(jì)算機(jī)；數(shù)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