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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
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
作者姓名:龙晓瀚  毕春加
作者单位:School of Mathematics and System Science Shandong University,Jinan,250100,Department of MathematicsYantai University,Yantai,Shandong Province,264005
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
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.

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
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
Authors:LONG Xiao-han  BI Chun-jia
Affiliation:[1]SchoolofMathematicsandSystemScience,ShandongUniversity,Jinan,250100 [2]DepartmentofMathematics,YantaiUniversity,Yantai,ShandongProvince,265005
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.
Keywords:finite volume element method  P1 conforming element  uniform convergence  non-selfadjoint and indefinite problem
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