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邹青松 《高等学校计算数学学报(英文版)》2005,14(4):363-374
In this paper, we use monotone iterative techniques to show the existence of maximal or minimal solutions of some elliptic PDEs with nonlinear discontinuous terms. As the numerical analysis of this PDEs is concerned, we prove the convergence of discrete extremal solutions. 相似文献
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图G包含4k个点,k≥2,如果σ_2(G)≥4k,则G包含k-2个4-圈和一个8-圈,并且这k-1个圈点不相交. 相似文献
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邹青松 《高等学校计算数学学报》2009,31(4)
1 引言 求解偏微分方程的自适应算法起始于20世纪70年代晚期,现在已经成为了科学和工程中的通用工具.一般地,一个自适应算法包括如下四个步骤: 相似文献
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The use of finite element method leads to replacing the initial domain by an approaching domain,Under some appropriate assumptions,we prove that there exists a W^1, ∞-diffeomorphism from the original domain to the approaching domain. 相似文献
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邹青松 《高等学校计算数学学报(英文版)》2000,(2)
1 IntroductionWith the development of the finite-element theory, the eminence and uniqueness of thediscrete parted d~ntial equations, which obtained by use of finite-element method, haveben discussed more and more.Let D=R' (n~ 2 or 3) be a bounded domain with a LipschitZ-continuous boundary so,and let P= so be a set with positive (n -- I )-dimension measure. Then the followingFriedrichs' inequalihes hold: ([3])where the constants C, (n),Cz (D,r),C,(Q) and C.(D) only depend on Q and P.FO… 相似文献
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