四阶非线性奇异抛物方程的半离散有限元方法的后验误差估计

A POSTERIORI ERROR ESTIMATION WITH FINITE ELEMENT SEMI-DISCRETE METHODS FOR FOURTH ORDER NONLINEAR SINGULAR PARABOLIC EQUATIONS

对非线性奇异抛物方程考虑用P次多项式基得到半离散有限元方法的后验误差估计,这种误差估计是通过解局部抛物方程在每一离散单元上用P+1次多项式对解进行校正而得到的,其中P+1次多项式在节点上为零。

A posteriori error estimates for semi - discrete finite element methods using a pth degree polynomial basis were considered for nonlinear singular parabolic equations. The error estimates were obtained by solving local parabolic equations for corrections to the solutions on each element using a p ＋ 1 st degree polynomial, which is zero at the nodes.