H-p Version of the Finite Element Method for Parabolic Equations. Part: 2. The h-p Version in Time

摘要

The paper is the second in the series addressing the h-p version of the finite element method for parabolic equations. The present paper addresses the case when in both variables, the spatial and time, the h-p version is used. Error estimation is given and numerical computations are presented. In both cases, we used the same p and q in all time intervals. The results show that the flexibility of the method, when properly employed, leads to the large increase of computational effectivity. Various adaptive approaches here will produce very effective tools for such an optimal choice. These aspects will be addressed in the forthcoming paper. (jhd)