| LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS | |
| Chen, Huangxin ; Chen HX(陈黄鑫) ; Xu, Xuejun ; Zheng, Weiying ; Zheng, Weiying | |
| 2012-05 | |
| 关键词 | Local multilevel method Adaptive finite element method Preconditioned conjugate gradient method Discontinuous coefficients |
| 英文摘要 | In this paper, local multiplicative and additive multilevel methods on adaptively refined meshes are considered for second-order elliptic problems with highly discontinuous coefficients. For the multilevel-preconditioned system, we study the distribution of its spectrum by using the abstract Schwarz theory. It is proved that, except for a few small eigenvalues, the spectrum of the preconditioned system is bounded quasi-uniformly with respect to the jumps of the coefficient and the mesh sizes. The convergence rate of multilevel-preconditioned conjugate gradient methods is shown to be quasi-optimal regarding the jumps and the meshes. Numerical experiments are presented to illustrate the theoretical findings.; National Basic Research Program [2011CB30971]; National Science Foundation of China [11171335]; China NSF [11031006, 11171334]; Funds for Creative Research Groups of China [11021101]; National Magnetic Confinement Fusion Science Program [2011GB105003] |
| 语种 | 英语 |
| 出版者 | VSP BV |
| 内容类型 | 期刊论文 |
| 源URL | [http://dx.doi.org/10.4208/jcm.1109-m401]  |
| 专题 | 数学科学－已发表论文 |
| 推荐引用方式 GB/T 7714 | Chen, Huangxin,Chen HX,Xu, Xuejun,et al. LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS[J],2012. |
| APA | Chen, Huangxin,陈黄鑫,Xu, Xuejun,Zheng, Weiying,&Zheng, Weiying.(2012).LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS.. |
| MLA | Chen, Huangxin,et al."LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS".(2012). |
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