Special Session 155: 

A RECOVERY BASED LINEAR FINITE ELEMENT METHOD FOR FOURTH ORDER PROBLEMS

HONGTAO CHEN
Xiamen University
Peoples Rep of China
Co-Author(s):    ZHIMIN ZHANG, QINGSONG ZOU
Abstract:
We analyze a gradient recovery based linear finite element method to solve some fourth order problems. Our method uses only $C^0$ element, which avoids complicated construction of $C^1$ elements and nonconforming elements. Optimal error bounds under various Sobolev norms are established. Moreover, after a post processing the recovered gradient is superconvergent to the exact one. Finally, some numerical experiments are presented to validate our theoretical findings.