Mathematical Sciences: Finite-Element Methods for Modeling Multiphase Contaminant Flows in Porous Media on Large-Scale Computers

本研究将集中于算法、代码的发展，以及自适应局部网格细化和移动有限元技术应用于地下污染物流动离散化的支持数学分析。这些算法将专门设计来利用新的超级计算机架构。研究项目还包括研究线性化离散公式中出现的大矩阵方程迭代解的预处理方法。

This investigation will focus on the development of algorithms, codes, and supporting mathematical analysis for adaptive local grid refinement and moving finite element techniques applied to the discretization of underground contaminant flows. These algorithms will be designed specifically to take advantage of new supercomputer architectures. The program of study also includes research into preconditioning methods for iterative solution of the large matrix equations that arise in the linearized discrete formulations.