A multilevel preconditioner for the C-R FEM for elliptic problems with discontinuous coefficients

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：zhangwenda_gz

【摘要】

：

在这份报纸，我们为秒顺序的 Crouzeix-Raviart 有限元素近似建议 multilevel preconditioner 有不连续的系数的椭圆形的部分微分方程。因为有限元素空格是 nonnested，加权的 in

【作者】

：

WANGFeng CHENJinRu HUANGpeiQi

【机构】

：

JiangsuKeyLaboratory,DepartmentofAppliedMathematics

【出处】

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中国科学：数学英文版

【发表日期】

：

2012年7期

【关键词】

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间断系数有限元素预条件椭圆型问题预处理共轭梯度法特征值分布椭圆偏微分方程网目尺寸 multilevel method Crouzeix-Ravi

【基金项目】

：

supported by National Natural Science Foundation of China (Grant Nos.10871100 and 11071124)

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在这份报纸，我们为秒顺序的 Crouzeix-Raviart 有限元素近似建议 multilevel preconditioner 有不连续的系数的椭圆形的部分微分方程。因为有限元素空格是 nonnested，加权的 intergrid 转移操作员，在加权的 L 2 标准下面稳定，被介绍交换在不同网孔之间的信息。由分析 preconditioned 系统的特征值分发，我们证明除了一些小特征值，所有另外的特征值关于 jump 和网孔尺寸将近一致地下面并且上面被围住。作为结果，我们得到 preconditio

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A multilevel preconditioner for the C-R FEM for elliptic problems with discontinuous coefficients

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