U.S.-Argentina Cooperative Science Program: Research on Numerical Solution

该奖项由美国-阿根廷合作科学项目颁发，支持普渡大学的吉姆·道格拉斯博士和阿根廷拉普拉塔大学的胡安·e·桑托斯博士进行的数学研究。该项目的目标是继续开发一种可并行化的技术，用于近似复合介质中的波，其中一个结果是数学上合理的并行算法。该项目继续了两位知名研究人员之间的积极合作。该项目侧重于开发一种有效的、可并行的技术，用于在由部分流体区域和部分流体饱和弹性区域组成的复合介质中近似波；声波测井模拟中出现的一个问题。要研究的数值方法涉及波的空频描述，而不是更常见的时空描述。这项研究将几乎平均分配给普渡大学和拉普拉塔大学的研究小组，其中大部分的实验计算将由普渡大学和拉普拉塔大学的研究小组完成。＊＊＊

This award from the U.S.-Argentina Cooperative Science Program supports research in mathematics to be conducted by Dr. Jim Douglas, Jr. of Purdue University and Dr. Juan E. Santos of the University of La Plata, Argentina. The goal of the project is to continue development of a parallelizable technique for approximating waves in composite media with one outcome being mathematically-justified parallel algorithms. The project continues an active collaboration between two well-regarded researchers. The project focuses on the development of an efficient, parallelizable technique for approximating waves in a composite medium consisting in part of a fluid region and in part of a fluid-saturated elastic region; a problem that arises in the simulation of acoustic well- logging. The numerical methods to be studied relate to space-frequency descriptions of the waves in place of the more common space-time descriptions. The research is to be divided almost evenly between the Purdue and La Plata groups, with a major part of the experimental calculations carried out by the former. ***