.png){kind=icon}
返回
Multilevel method for mixed eigenproblems
.png){kind=icon}
PRE
AI
DOI：10.1137/S1064827501385001.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
For a Lipschitz-polyhedron Omega subset of R-3 we consider eigenvalue problems curl curl u = lambdau and grad alphadiv u = lambdau, lambda > 0, set in H (curl; Omega) and H (div; Omega). They are discretized by means of the conforming finite elements introduced by Nedelec. The preconditioned inverse iteration in its subspace variant is adapted to these problems. A standard multigrid scheme serves as the preconditioner. The main challenge arises from the large kernels of the operators curl and div. However, thanks to the choice of finite element spaces these kernels have a direct representation through the gradients/rotations of discrete potentials. This makes it possible to use a multigrid iteration in potential space to obtain approximate projections onto the orthogonal complements of the kernels. There is ample evidence that this will lead to an asymptotically optimal method. Numerical experiments confirm the excellent performance of the method even on very ne grids.
Keyword:
mixed eigenvalue problems
edge elements
Raviart-Thomas elements
mixed finite elements
preconditioned inverse iteration
multigrid methods
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
暂无机构信息
引用论文
Patient-specific bivariate-synchrony-based seizure prediction for short prediction horizons基于患者特异性双变量同步的癫痫发作预测，用于短期预测
PREAI
分享收藏
分享收藏Handedness and lateral positioning in heterosexual couples: Are men still strong-arming women?.png)
Sex Roles
Sex RolesIF0
PREAI
分享收藏
查看更多内容