Stagnation in the p-version of the finite element method |
| |
Authors: | N D Zolotareva E S Nikolaev |
| |
Institution: | 1. Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia
|
| |
Abstract: | A special feature of the p-version of the finite element method for solving a differential boundary value problem stated in the form of minimizing a quadratic functional on a certain set is studied. This special feature results in approximate solutions remaining unchanged on finite numbers of increasing finite-dimensional subsets of increasing dimension, in which solutions are sought. Necessary and sufficient conditions for the existence of this feature are found, and the stagnation effect is interpreted for a specially constructed example. For the adaptive p-version of the finite element approach, a modified strategy is proposed that takes this feature into account and thus improves the reliability of the method. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|