论文标题
在并行消息传递的背景下，用于线性弹性问题的两尺度求解器
A two-scale solver for linear elasticity problems in the context of parallel message passing
论文作者
论文摘要
本文推动了最初在[1]中引入的GFEM $^{gl} $ global-Local方法的内在功能。我们使用MPI（消息传递接口）为全局和本地问题开发了分布式计算方法。关于本地问题，引入了特定的调度策略。然后，为了正确测量迭代过程的收敛性，我们引入了一个参考解决方案，该解决方案重新审视经典和丰富功能的乘积。结果，我们能够提出纯粹基于基于矩阵的全球本地问题的实现。然后将分布式方法与其他并行求解器进行比较，无论是直接或迭代的域分解。比较解决了可扩展性以及经过的时间。数值示例涉及线性弹性问题：多项式精确解决方案问题，复杂的微结构，最后是拔出测试（裂纹范围不同）。 1：C。A. Duarte，D.-J。金和I.Babuška。用于构建广义FEM的富集功能的全球本地方法及其在三维裂纹中的应用。在Meshfree Techniques的进步中，Dordrecht，2007年。Springer
This paper pushes further the intrinsic capabilities of the GFEM$^{gl}$ global-local approach introduced initially in [1]. We develop a distributed computing approach using MPI (Message Passing Interface) both for the global and local problems. Regarding local problems, a specific scheduling strategy is introduced. Then, to measure correctly the convergence of the iterative process, we introduce a reference solution that revisits the product of classical and enriched functions. As a consequence, we are able to propose a purely matrix-based implementation of the global-local problem. The distributed approach is then compared to other parallel solvers either direct or iterative with domain decomposition. The comparison addresses the scalability as well as the elapsed time. Numerical examples deal with linear elastic problems: a polynomial exact solution problem, a complex micro-structure, and, finally, a pull-out test (with different crack extent). 1: C. A. Duarte, D.-J. Kim, and I. Babuška. A global-local approach for the construction of enrichment functions for the generalized fem and its application to three-dimensional cracks. In Advances in Meshfree Techniques, Dordrecht, 2007. Springer
