Parallel Domain Decomposition Methods and Multilevel Algorithms for Solution of PDEs (Postdoctoral Research Associateship in Computational Science and Engineering)

McBryan 9406582建议研究的目标是开发有效的并行稀疏线性系统解算器，用于求解椭圆型耦合偏微分方程组的有限元离散所产生的代数方程。这些解算器将基于区域和子空间分解方法，用于解决线性耦合多组分问题，如流固耦合问题。重点将是可伸缩、可移植的算法。

McBryan 9406582 The goal of the proposal research is to develop effective parallel sparse linear systems solvers for solving the algebraic equations arising in the finite element discretization of elliptic coupled systems of partial differential equations. These solvers will be based on domain and subspace decomposition methods for use in the solution of linear coupled multicomponent problems, such as the fluid-structure interaction problems. The emphasis will be scalable, transportable algorithms.