科研动态

12月17日(周四)上午9:00-10:00 戴小英研究员 腾迅会议号:520 411 706 Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations

报告题目:Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations

 

报告人:戴小英研究员(中科院)

 

报告时间:12月17日)上午9:00-10:00

 

地点:腾迅会议号:520 411 706

 

报告人简介

  戴小英,中国科学院数学与系统科学研究院研究员。 主要研究领域包括数值分析、计算材料科学、并行计算等。一直围绕第一原理计算核心数学模型展开相关研究,包括特征值问题及相应优化问题的高效算法设计及分析。曾获中国科学院数学与系统科学研究院“陈景润未来之星”称号、中国数学会计算数学分会“青年创新奖”。

报告简介:

  In this talk, we will introduce a two-grid based adaptive proper orthogonal decomposition (POD) method to solve the time dependent partial differential equations. Based on the error obtained in the coarse grid, we propose an error indicator for the numerical solution obtained in the

fine grid. Our new method is cheap and easy to be implement. We apply our new method to the solution of time-dependent advection–diffusion equations with the Kolmogorov flow and the ABC flow. The numerical results show that our method is more efficient than the existing POD methods. This is a joint work with Xiong Kuang, Jack Xin, and Aihui Zhou.