Numerical solution of transient geometric differential equations

瞬态几何微分方程的数值解

• 批准号: 5362987
• 负责人: Professor Dr. Gerhard Dziuk
• 金额: --
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2002
• 资助国家: 德国
• 起止时间: 2001-12-31 至 2009-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5362987?language=en
• 关键词: Numerical; solution; transient; geometric; differential

This project deals with numerical methods for evolutionary geometric differential equations with mathematical or physical background. The aim is to design and implement algorithms for Willmore Flow, Surface Diffusion and for minimal surfaces in the Minkowski space in order to gain insight into the dynamic behaviour of solutions of these problems. Plan is, to prove stability, convergence and error estimates. The common feature of all the equations is that the motion of a surface or an interface is driven by curvature effects.

本课题研究具有数学或物理背景的演化几何微分方程解的数值方法。其目的是设计和实现Willmore流、曲面扩散和Minkowski空间中极小曲面的算法，以便深入了解这些问题解的动态行为。方案是，证明稳定性、收敛和误差估计。所有方程的共同特点是，表面或界面的运动是由曲率效应驱动的。