hp-finite element simulations for Stokes flow -: stable and stabilized

被引：18
作者：
Gerdes, K [1 ]
Schötzau, D
机构：
[1] Chalmers Univ Technol, Dept Math, SE-41296 Gothenburg, Sweden
[2] ETH Zurich, Seminar Angew Math, CH-8092 Zurich, Switzerland
来源：
FINITE ELEMENTS IN ANALYSIS AND DESIGN | 1999年 / 33卷 / 03期
关键词：
hp-FEM; Stokes problem; Galerkin formulation; Galerkin least squares formulation;
D O I：
10.1016/S0168-874X(99)00018-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stable Galerkin formulation and a stabilized Galerkin least squares formulation for the Stokes problem are analyzed in the context of the hp-version of the finite element method. Theoretical results for both formulations establish exponential rates of convergence under realistic assumptions on the input data. We confirm these results by a series of numerical experiments on an L-shaped domain where the solution exhibits corner singularities. (C) 1999 Elsevier Science B.V. All rights reserved. AMS classification: 65N30; 65N35; 65N50.
引用
收藏
页码：143 / 165
页数：23
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