OPTIMAL MIXED H- P FINITE ELEMENT METHODS FOR STOKES AND NON-NEWTONIAN FLOW

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Mixed hp- finite element method Non-Newtonian flow Stabilization Scaled weak B - B inequality.
• 年，卷（期）: 2001,（1）
• 页码范围: 67-76
• 页数: 10页
• 分类号: O1
• 语种: 英文

摘要

Based upon a new mixed variational formulation for the three-field Stokes equations and linearized Non-Newtonian flow, an h -p finite element method is presented with or without a stabilization. As to the variational formulation without stabilization, optimal error bounds in h as well as in p are obtained. As with stabilization, optimal error bounds are obtained which is optimal in h and one order deterioration in p for the pressure, that is consistent with numerical results in [9, 12] and therefore solved the problem therein.Moreover, we proposed a stabilized formulation which is optimal in both h and p.