Some Solved and Unsolved Problems in High Accuracy Finite Elements

Professor Lin Qun

Member of the Chinese Academy of Sciences
Fellow of the Third World Academy of Sciences
Ho Leung Ho Lee Prize winner

 

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Date: 25 November 2008 (Tuesday)
Time:

11:00am - 12:30 pm (Preceded by Reception at 10:30 am)
Venue:
ACC109, Jockey Club Academic Community Centre,
Baptist University Road Campus,
Hong Kong Baptist University
     

Abstract

The simplest problem is the so-called “2p-conjecture”: people guess a p-order finite element solution does has a 2p order accuracy at nodes. This is true for ODEs and has been proved in 1970's for Poisson equation for p<=3. There is no essential advance before 2000. Recently, people work for p=4. Problem for p>4 is still unsolved. There are more unsolved problems which will be talked in this lecture.

 
The Medium of Instruction: English
All are welcome