class='kwd-title'>Keywords: Theory of elasticity'/> Comparative analysis of different variants of the Uzawa algorithm in problems of the theory of elasticity for incompressible materials
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首页> 美国卫生研究院文献>Journal of Advanced Research >Comparative analysis of different variants of the Uzawa algorithm in problems of the theory of elasticity for incompressible materials
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Comparative analysis of different variants of the Uzawa algorithm in problems of the theory of elasticity for incompressible materials

机译：不可压缩材料弹性理论中Uzawa算法不同变体的比较分析

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class="kwd-title">Keywords: Theory of elasticity, Incompressible materials, Finite-element method, The Uzawa algorithm, Iterative methods, Systems of linear algebraic equations class="head no_bottom_margin" id="ab010title">AbstractDifferent variants of the Uzawa algorithm are compared with one another. The comparison is performed for the case in which this algorithm is applied to large-scale systems of linear algebraic equations. These systems arise in the finite-element solution of the problems of elasticity theory for incompressible materials. A modification of the Uzawa algorithm is proposed. Computational experiments show that this modification improves the convergence of the Uzawa algorithm for the problems of solid mechanics. The results of computational experiments show that each variant of the Uzawa algorithm considered has its advantages and disadvantages and may be convenient in one case or another.
机译：<！-fig ft0-> <！-fig @ position =“ position” anchor“ == f4-> <！-fig mode =” anchred“ f5-> <！-fig / graphic | fig / alternatives / graphic mode =“ anchored” m1-> class =“ kwd-title”>关键字：弹性理论，不可压缩材料，有限元方法，Uzawa算法，迭代方法，线性代数方程 class =“ head no_bottom_margin” id =“ ab010title”>摘要将Uzawa算法的不同变体相互比较。对于将这种算法应用于线性代数方程的大型系统的情况进行比较。这些系统出现在不可压缩材料的弹性理论问题的有限元解中。提出了对Uzawa算法的一种改进。计算实验表明，该修改改进了Uzawa算法对固体力学问题的收敛性。计算实验的结果表明，所考虑的Uzawa算法的每个变体都有其优点和缺点，并且在一种情况或另一种情况下可能很方便。

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