標題: | An a posteriori finite element error analysis for the Stokes equations |
作者: | Jou, J Liu, JL 應用數學系 Department of Applied Mathematics |
關鍵字: | Stokes equation;finite element;a posteriori error estimate |
公開日期: | 1-二月-2000 |
摘要: | Conforming and nonconforming error estimators are presented and analyzed for the mixed finite element approximation of the Stokes problem. The estimators are obtained by solving local Poisson-type problems that do not involve boundary conditions, compatibility and balancing conditions, incompressibility constraint, or flux jumps across inter-element boundaries. The estimators are bounded from above and below by constant multiples of the actual error in an energy-like norm and can be used in adaptive h, p, and hp computations. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 65N15; 65N30. |
URI: | http://dx.doi.org/10.1016/S0377-0427(99)00271-X http://hdl.handle.net/11536/30794 |
ISSN: | 0377-0427 |
DOI: | 10.1016/S0377-0427(99)00271-X |
期刊: | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
Volume: | 114 |
Issue: | 2 |
起始頁: | 333 |
結束頁: | 343 |
顯示於類別: | 期刊論文 |