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中文摘要：
代数多层网格（AMG）法是求解由弹性力学方程有限元离散化所得大型代数系统的最为有效的数值方法之一．该文对弹性有限元分析中的AMG法的研究进展及其相关应用领域进行了综述，着重介绍了网格粗化、插值算子及光滑迭代子等几个要素对AMG法在运算效率和鲁棒性（robustness）等方面的影响，并提出了今后进一步研究的方向和内容．
英文摘要：
Algebraic multigrid （AMG） method is one of the most efficient iterative methods for the solution of large sparse systems arising from discretizations of the equations of linear elasticity. In this paper, we give a review on the recent progresses of AMG solver for linear elasticity and its applications, in which we emphasize the effects on efficiency and robustness of AMG methods for three main components： the in- terpolation from the coarse to the fine grid points, the smoothing operators and the selection of coarse grid points. Finally, we present a subject of the future researches on AMG solver for linear elasticity.
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