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The use of out-of-core iterative solvers for large 3D soil problems

机译：使用外核迭代溶剂进行大型3D土壤问题

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In this paper, out-of-core solution algorithms are used for analyzing large 3D soil problems. Such problems involve huge number of degrees of freedom. The soil continuum is modeled using 3D multi-region boundary element method. The overall stiffness matrix resulted from the multi-region boundary element problem is large, sparse and non-symmetric. The soil stiffness matrix is divided into series of sub-matrices according to the available computer memory. Each sub-matrix is assembled individually, hence only the non-zero elements are stored on the hard disk (out-of-core). The BiCGStab (1) and GMRES (m) iterative solvers are implemented to solve the overall system of equations. The innovative part in this paper is the coupling of the developed out-of-core solution with these iterative solvers. Read-in algorithms are developed where the non-zero elements of each sub-matrix are read-in element-by-element sequentially, to fit within relevant operations inside the used iterative solvers. Such a procedure reduces the used computer memory and accelerates the solvers time. The presented numerical examples confirm the necessity of the developed algorithms for large soil problems and confirm the efficiency of the used iterative solvers. In addition, the used iterative solvers give similar performance.
机译：在本文中，核心外解决方案算法用于分析大3D土壤问题。这些问题涉及大量的自由度。使用3D多区域边界元法建模土壤连续体。由多区域边界元件问题产生的总刚度矩阵大，稀疏和非对称。根据可用的计算机存储器将土壤刚度矩阵分成一系列子矩阵。每个子矩阵被单独组装，因此仅将非零元素存储在硬盘上（核心外）。实施BICGSTAB（1）和GMRES（M）迭代求解器以解决方程的整体系统。本文的创新部分是通过这些迭代溶剂的开发外核心解决方案的耦合。读取算法是开发的，其中每个子矩阵的非零元素是顺序读入元素的元素，以适合在使用的迭代溶剂内的相关操作内。这样的程序减少了使用的计算机存储器并加速了求解器时间。本实施例证实了发达算法的大型土壤问题的必要性，并确认使用迭代溶剂的效率。此外，使用的迭代溶剂具有类似的性能。

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