一维奇异非线性抛物问题的半离散有限元方法的后验误差估计(英文)

A Posteriori Error Estimation with Finite Element Semi-discrete Method for Nonlinear Singular Parabolic Equation in One Dimensional Space

对非线性抛物方程考虑用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个离散单元上用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 estimate for semi-discrete finite element method using a pth degree polynomial basis is considered for nonlinear singular parabolic equations. The error estimate is obtained by solving local parabolic equations and correcting the solutions on each element using a p＋ 1st degree polynomial, which is zero at the nodes.