维对流扩散方程的有限元求解及其反问题分析

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1、西安理工大学硕士学位论文feasible，andhashighaeeuraeyandgoodstabilityinsolvingtheeomPlexinverseProblems·Keywords:eonvection一di伪sionequation:adjointoPerator;finiteelemeni:error;Parameter:inverseProblem;GenetieAlgorithmNote:Thisreseareh15suPPortedbytheNationalNaturalSeieneeFoundationofChina(

2、GrantNo.50579061)andDoetorSPotoftheMinistryofEdueation，China(GrantNo.20050700003)目录目录1绪论·······················································································································，······……11.1有限元方法概论及其发展·············································

3、···································……11.2反问题研究的历史及其发展············································································……11.3预备知识············································································································……21.3.1Banach空间·············

4、·················································································……21.3.2Hilbert空间·······························································································一31.3.3Sobolev空间···································································

5、··························……31.3.4伴随算子··································································································……51.3.5遗传算法的基本概念··············································································……51.4本文的研究工作································

6、·······，························································……62二维稳态对流扩散方程的有限元方法······································································……82.1二维稳态线性对流扩散方程的有限元方法····················································……82.1.1数学模型··································

7、································································……82.1.2离散模型··································································································……82.1.3误差估计··························································································

8、······……102.1.4数值算例·················································