摘要
本文考虑一类带非线性源项的变分不等式．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，而且具有与有限元剖分网格ｈ无关的收敛率．
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.
出处
《应用数学学报》
CSCD
北大核心
2000年第2期250-260,共11页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金
关键词
非线性源
变分不等式
区域分解法
收敛速度
Schwarz algorithm, nonlinear source term, variational inequality, h-independent convergence rate
