| 非自共轭和不定椭圆问题的有限体积元方法的一致收敛性 |
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| 引用本文： | 龙晓瀚,毕春加. 非自共轭和不定椭圆问题的有限体积元方法的一致收敛性[J]. 东北数学, 2005, 21(1): 32-38 |
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| 作者姓名： | 龙晓瀚 毕春加 |
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| 作者单位： | School of Mathematics and System Science Shandong University，Jinan，250100，Department of MathematicsYantai University，Yantai，Shandong Province，264005 |
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| 基金项目： | 国家重点基础研究发展计划(973计划);国家自然科学基金 |
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| 摘 要： | In this paper, we prove the existence, uniqueness and uniform convergence of the solution of finite volume element method based on the P1 conforming element for non-selfadjoint and indefinite elliptic problems under minimal elliptic regularity assumption.
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| 关 键 词： | 有限体积元法 相容元 不一致收敛 偏微分方程 |
Uniform Convergence for Finite Volume Element Method for Non-selfadjoint and Indefinite Elliptic Problems |
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| LONG Xiao-han,BI Chun-jia. Uniform Convergence for Finite Volume Element Method for Non-selfadjoint and Indefinite Elliptic Problems[J]. Northeastern Mathematical Journal, 2005, 21(1): 32-38 |
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| Authors: | LONG Xiao-han BI Chun-jia |
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| Affiliation: | [1]SchoolofMathematicsandSystemScience,ShandongUniversity,Jinan,250100 [2]DepartmentofMathematics,YantaiUniversity,Yantai,ShandongProvince,265005 |
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| Abstract: | In this paper, we prove the existence, uniqueness and uniform convergence of the solution of finite volume element method based on the P1 conforming element for non-selfadjoint and indefinite elliptic problems under minimal elliptic regularity assumption. |
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| Keywords: | finite volume element method P1 conforming element uniform convergence non-selfadjoint and indefinite problem |
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