Two stochastic algorithms for solving elastostatics problems governed by the Lamé equation

IF 0.8 Q3 STATISTICS & PROBABILITY
A. Kireeva, Ivan Aksyuk, K. Sabelfeld
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引用次数: 1

Abstract

Abstract In this paper, we construct stochastic simulation algorithms for solving an elastostatics problem governed by the Lamé equation. Two different stochastic simulation methods are suggested: (1) a method based on a random walk on spheres, which is iteratively applied to anisotropic diffusion equations that are related through the mixed second-order derivatives (this method is meshless and can be applied to boundary value problems for complicated domains); (2) a randomized algorithm for solving large systems of linear algebraic equations that is the core of this method. It needs a mesh formation, but even for very fine grids, the algorithm shows a high efficiency. Both methods are scalable and can be easily parallelized.
求解Lamé方程弹性静力学问题的两种随机算法
摘要本文构造了求解由lam方程控制的弹性静力学问题的随机模拟算法。提出了两种不同的随机模拟方法:(1)基于球上随机游走的方法,该方法迭代应用于通过混合二阶导数关联的各向异性扩散方程(该方法无网格,可应用于复杂域的边值问题);(2)求解大型线性代数方程组的随机算法,这是该方法的核心。它需要网格的形成,但即使是非常精细的网格,该算法也显示出很高的效率。这两种方法都是可伸缩的,可以很容易地并行化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Monte Carlo Methods and Applications
Monte Carlo Methods and Applications STATISTICS & PROBABILITY-
CiteScore
1.20
自引率
22.20%
发文量
31
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