一类非线性椭圆问题三角形二次元的超收敛性

The superconvergence of triangle quadratic finite element for a class of nonlinear elliptical problems

基于均匀三角形的剖分 ,已有文献认为对二阶椭圆问题的二次有限元的情形 ,在节点处有四阶超收敛精度。以此为基础 ,本文针对一类二阶非线性椭圆问题 ,也得到二次有限元解在节点处有四阶超收敛精度 ,数值计算表明结果是正确的。

Based on equality trilateral dissectation,documents stated the fourth order superconvergent precision on nodal points.This paper gains the superconvergence of triangle quadratic finite element on nodal points for a class of nonlinear elliptical problems.Numerical computations show that the result is correct.