非定常Oseen问题的局部投影稳定化有限元方法

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1、-目录目录第一章引言·················································································11.1有限元方法的产生和发展·························································11.2选题依据和研究现状·······························································21.3本文工作····································

2、··········································5第二章预备知识···········································································62.1SOBOLEV空间及其重要定理·······················································62.2有限元空间及其性质·····························································102.3有限元方法

3、中的重要定理·······················································122.4混合有限元方法···································································13第三章非定常OSEEN问题的半离散局部投影稳定化有限元方法··········163.1非定常的OSEEN方程·····························································163.2离散的GALERKIN形式·······

4、····················································173.3局部投影稳定项···································································173.4一个特殊的插值···································································183.5稳定性和收敛性分析···························································

5、··193.5.1稳定性...................................................................................................193.5.2误差估计...............................................................................................20第四章非定常OSEEN问题的全离散局部投影稳定化有限元方法··········294.1全离散格式···············

6、··························································294.2稳定性···············································································304.3误差估计············································································30第五章总结与展望···········································

7、···························38IV----万方数据----目录参考文献···················································································39致谢·························································································43攻硕期间取得的研究成果·············································

8、·················44