Reduced Order Method for the Parameter Recovery of the Allen-Cahn Equation


主讲人:许传炬 厦门大学特聘教授




主讲人介绍:许传炬,厦门大学数学科学学院闽江学者,特聘教授,博士生导师。1986年厦门大学本科,1989年巴黎南大学硕士,1993年巴黎第六大学博士。主要研究领域有谱元法、计算流体、相场模型及其算法、分数阶偏微分/积分方程理论和数值计算。担任 Mathematica Numerica Sinica、Communications on Applied Mathematics and Computation 、SIAM Journal on Scientific Computing 等多个专业期刊的编委。

内容介绍:In this talk, we discuss an efficient parameter recovery reduced-order method for the Allen-Cahn equation. The reduced basis is constructed based on proper orthogonal decomposition and parametrized solution snapshots. Numerical analysis of the proposed method is conducted to derive error estimates for the reduced-order solutions. The impact on the accuracy of time difference quotients as snapshots is also investigated.