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

9910086 Nochetto该奖项支持Ricardo Nochetto和来自马里兰州大学的三名学生与德国弗赖堡大学应用数学系的Gerhard Dzuik合作。 该项目将集中在非线性偏微分方程的误差控制通过后验误差估计。 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，以推动该领域的发展。 这种合作结合了双方互补的专业知识和设施。 特别是由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，这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.