各向异性网格下的双三次Hermite元的超逼近分析
SUPERCLOSE ANALYSIS OF BICUBIC HERMITE ELEMENT ON ANISOTROPIC MESHES
查看参考文献23篇
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文摘
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研究了四阶重调和问题在各向异性网格下的双三次Hermite元的有限元方法.通过引入新的思路与技巧,得到了与传统的正则剖分下完全相同的收敛性和超逼近结果.并且给出了相应的数值算例,验证了理论分析的正确性.其结果说明传统有限元分析中的剖分正则性条件不是必要的,从而对进一步设计四阶问题的自适应算法和后验估计具有参考价值. |
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其他语种文摘
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The bicubic Hermite finite element is applied to fourth order biharmonic problem on anisotropic meshes,and the same convergence and superclose behavior as that of on the con- ventional regular subdivision are obtained through some new ideas and techniques.Moreover, the corresponding numerical examples are given to verify our theoretical analysis.The re- sults show that the regularity condition is not necessary to the conventional finite element analysis,thus they are helpful to further develop the self-adaptive algorithm and posterior estimates. |
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来源
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计算数学
,2008,30(4):337-348 【核心库】
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关键词
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重调和方程
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双三次Hermite元
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各向异性网格
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超逼近
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地址
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1.
郑州大学数学系, 河南, 郑州, 450052
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复旦大学数学科学学院, 上海, 200433
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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0254-7791 |
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学科
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数学 |
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基金
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国家自然科学基金
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文献收藏号
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CSCD:3429755
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23
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