| 带非线性源项的变分不等式的区域分解法及其收敛速度分析 |
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| 引用本文： | 曾金平,周叔子.带非线性源项的变分不等式的区域分解法及其收敛速度分析[J].应用数学学报,2000,23(2):250-260. |
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| 作者姓名： | 曾金平 周叔子 |
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| 作者单位： | 湖南大学应用数学研究所,长沙,410082 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | 本文考虑一类带非线性源项的变化不等式。针对其有限元离散问题，我们构造了乘性与加性Ｓｃｈｗａｒｚ算法，其产生的上解序列或下解序列不仅单调收敛于有限元解，而且具有限元网格ｈ无关的收敛率．
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| 关 键 词： | 非线性源 变分不等式 区域分解法 收敛速度 |
DOMAIN DECOMPOSITION METHODS AND THEIR CONVERGNCE FOR SOLVING VARIATIONAL INEQUALITIES WITH A NONLINEAR SOURCE TERM |
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| ZENG JINPING,ZHOU SHUZI.DOMAIN DECOMPOSITION METHODS AND THEIR CONVERGNCE FOR SOLVING VARIATIONAL INEQUALITIES WITH A NONLINEAR SOURCE TERM[J].Acta Mathematicae Applicatae Sinica,2000,23(2):250-260. |
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| Authors: | ZENG JINPING ZHOU SHUZI |
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| Abstract: | In this paper, we construct multiplicative and additive Schwarz algorithms for the solution of the finite element discretization of a kind of variational inequalities with a nonlinear source term. We prove that the algorithms can generate a super-solution sequence or a low-solution sequence, which converges to the finite element solution monotonically. Moreover, the convergence rate is independent of the meshsize h. |
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| Keywords: | Schwarz algorithm nonlinear source term variational inequality h-independent convergence rate |
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