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

9910086诺切特该奖项支持里卡多·诺切托和马里兰大学的三名学生，他们与德国弗莱堡大学应用数学系的格哈德·祖伊克合作。该项目将专注于通过后验误差估计来控制非线性偏微分方程组的误差。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。这类问题经常出现在工业应用中，并提出了需要解决的根本性和挑战性问题，以便该领域取得进展。合作结合了双方互补的专业知识和设施。特别是，由这家德国集团开发的创新的新软件工具箱Albert是拟议工作的核心，该工作将从美国集团强大的理论能力中获得附加值。

9910086NochettoThis award supports Ricardo Nochetto and three students from the University of Maryland in a collaboration with Gerhard Dzuik of the Department of Applied Mathematics at the University of Freiburg, Germany. The project will focus 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 new 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.