导航
学术报告|
当前位置:首页  科研  学术报告
报告题目: Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations
报 告 人: 王晚生
报告人所在单位: 上海师范大学
报告日期: 2021-11-30
报告时间: 13:30-14:30
报告地点: 腾讯会议:265-275-677
   
报告摘要:

Optimal a posteriori error estimates for time discretizations of linear parabolic equations by the two-step backward differentiation formula (BDF2) method with variable step-sizes are derived. Based on second-order BDF reconstructions of the piecewise linear approximate solutions, the optimality of residual-based a posteriori error estimators is proved by using a novel stability inequality when the starting value is computed by the trapezoidal method. With a reasonable choice for the starting step-size, the optimality of the estimators when the starting value is computed by the backward Euler scheme can be also ensured. The effectiveness of the a posteriori error estimators is illustrated by a numerical example.

11-30海报.pdf

   
本年度学院报告总序号: 331

Copyright © |2012 复旦大学数学科学学院版权所有 沪ICP备042465