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PIER PIER B PIER C PIER M PIER Letters
2009-02-10
A Generalized GPS Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix
By
Qing Wang,

    Dr. Qing Wang

    National Key Laboratory of Antenna and Microwave Technology

    Xidian University

    China

    Homepage

Yu-Chun Guo,

    Dr. Yu-Chun Guo

    Antenna Research Department

    Jiangnan Electronic Communication Research Institute

    China

    Homepage

Xiao-Wei Shi

    Professor Xiao-Wei Shi

    School of Electronics Engineering

    Xidian University

    China

    Homepage

Progress In Electromagnetics Research, Vol. 90, 121-136, 2009
doi:10.2528/PIER09010512
Abstract
A generalized GPS (GGPS) algorithm is proposed for the problem of reducing the bandwidth and profile of the stiffness matrix in finite element problems. The algorithm has two key-points. Firstly and most importantly, more pseudo-peripheral nodes are found, used as the origins for generating more level structures, rather than only two level structures in the GPS (Gibbs-Poole-Stockmeyer) algorithm. A new level structure is constructed with all the level structures rooted at the pseudo-peripheral nodes, leading to a smaller level width than the level width of any level structure's in general. Secondly, renumbering by degree is changed to be sum of the adjacent nodes codes to make a better renumbering in each level. Simulation results show that the GGPS algorithm can reduce the bandwidth by about 37.63% and 8.91% and the profiles by 0.17% and 2.29% in average for solid models and plane models, respectively, compared with the outcomes of GPS algorithm. The execution time is close to the GPS algorithm. Empirical results show that the GGPS is superior to the GPS in reducing bandwidth and profile.
Citation
Qing Wang, Yu-Chun Guo, and Xiao-Wei Shi, "A Generalized GPS Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix," Progress In Electromagnetics Research, Vol. 90, 121-136, 2009.
doi:10.2528/PIER09010512
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