U.S.-Germany Cooperative Research: Diffusion, Advection, Phase Changes and Interfaces

该奖项支持里卡多·h·诺切托和马里兰大学帕克分校的学生与德国弗莱堡大学应用数学系的格哈德·德兹乌克合作进行的研究。该合同是2000年1月开始的一个项目的一年续签。该项目的重点是通过后验误差估计非线性偏微分方程的误差控制。这些技术将应用于涉及扩散、平流、相变和界面动力学的物理问题。这些问题在工业应用中经常出现，并提出了需要解决的基本和具有挑战性的问题，以便该领域取得进展。此次合作结合了双方互补的专业知识和设施。特别是由德国小组开发的创新软件工具箱ALBERT是拟议工作的核心，它将从美国小组强大的理论能力中获得附加价值。工作计划规定研究生广泛参与国际旅行和研究。

0129243NochettoThis award supports Ricardo H. Nochetto and students from the University of Maryland-College Park in a collaboration with Gerhard Dziuk of the Department of Applied Mathematics at the University of Freiburg, Germany. The award is a one-year renewal of a project begun in January 2000. The project focuses on error control for nonlinear partial differential equations via a posteriori error estimation. The techniques will have applications for physical problems involving diffusion, advection, phase changes, and interface dynamics. Such problems arise frequently in industrial applications, and raise fundamental and challenging questions that need to be addressed in order for the field to advance. The collaboration combines complementary expertise and facilities on both sides. In particular the innovative software toolbox ALBERT, developed by the German group, is central to the proposed work, which will gain added value from the powerful theoretical capabilities of the U.S. group. The work plan provides for extensive participation by graduate students in the international travel and research.