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对流扩散方程的特征质量集中有限元法

Characteristics Lumped Mass Finite Element Method for Convection-diffusion Equation
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摘要 针对一类对流扩散方程讨论了特征质量集中有限元方法,即在特征有限元法的基础上对于格式的质量矩阵采用特定的积分公式使其变为对角阵,这样在不降低精度的情况下有效的简化了计算过程,用该方法仍可得到H1模最优阶误差估计. This paper studies the characteristics lumped mass finite element method for convection-diffusion equation at the base of characteristics finite element method for this kind of equation,the numerical process is reduced but the optimal order error estimates in H1is also obtained.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第5期20-23,共4页 Journal of Henan Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671057)
关键词 对流扩散方程 特征质量集中有限元方法 误差估计 convection-diffusion equation the characteristics lumped mass finite element method error estimates
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参考文献6

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二级参考文献3

  • 1Guo B Y,Manoranjian V S. A spectral method for solving the RLW-equation[J]. IMA Number Anal, 1985,5:307-318.
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