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Parallel Eigensolver for H (curl) Problems using H1 Auxiliary Space AMG Preconditioning

机译：使用H1辅助空间amG预处理的H（curl）问题的并行Eigensolver

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This report describes an application of the recently developed H1-auxiliary space preconditioner for H(curl) problems to the Maxwell eigenvalue problem. The auxiliary space method based on the new (HX) finite element space decomposition introduced in this document, was implemented in the hypre library under the name AMS. The eigensolver considered in the present paper, referred to as the AME, is an extension of the AMS. It is based on the locally optimal block eigensolver LOBPCG and the parallel AMG (algebraic multigrid) solver BoomerAMG from the hypre library. AME is designed to compute a block of few minimal nonzero eigenvalues and eigenvectors, for general unstructured finite element discretizations utilizing the lowest order Nedelec elements. The main goal of the current report is to document the usage of AME and to illustrate its parallel scalability.

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Kolev, T. V.; Vassilevski, P. S.;
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年度 2006
页码 1-13
总页数 13
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Eigenvalues ; Algebraic number theory ; Finite element method ; Eigenvectors ; Decomposition ; Maxwells equations ; Grids ; Discretizations ; Scalability;

机译：特征值;代数数论;有限元法;特征向量;分解;麦克斯韦方程;网格;离散;可扩展性;

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专利

1. NODAL AUXILIARY SPACE PRECONDITIONING IN H(curl) AND H(div) SPACES [J] . RALF HIPTMAIR, JINCHAO XU SIAM Journal on Numerical Analysis . 2008,第6期

机译：H（curl）和H（div）空间中的节点辅助空间预处理
2. Nodal auxiliary space preconditioning in H(curl) and H(div) spaces [J] . Hiptmair R, Xu JC SIAM Journal on Numerical Analysis . 2007,第6期

机译：H（curl）和H（div）空间中的节点辅助空间预处理
3. Auxiliary space preconditioning in H-0(curl; Omega) [J] . Hiptmair R, Widmer G, Zou J Numerische Mathematik . 2006,第3期

机译：H-0（curl; Omega）中的辅助空间预处理
4. Auxiliary Space Preconditioners for a DG Discretization of H(curl; ?)-Elliptic Problem on Hexahedral Meshes [C] . Blanca Ayuso de Dios, Ralf Hiptmair, Cecilia Pagliantini International conference on domain decomposition methods . 2018

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5. Robust preconditioners for H(grad), H(curl) and H(div) systems with strongly discontinuous coefficients [D] . Zhu, Yunrong. 2008

机译：具有强不连续系数的H（毕级），H（卷曲），H（DIV）系统的鲁棒预处理器
6. Phase 1 randomized parallel-group double-blind placebo-controlledtrial to evaluate the effects of erenumab (AMG 334) and concomitant sumatriptanon blood pressure in healthy volunteers [O] . Jan de Hoon, Anne Van Hecken, Corinne Vandermeulen, -1

机译：阶段1随机平行组双盲安慰剂对照评估埃仑单抗（AMG 334）和舒马曲坦伴随作用的试验健康志愿者的血压
7. Parallel eigensolver for H(curl) problems using H1-auxiliary space AMG preconditioning [O] . Kolev, T V, Vassilevski, P S 2006

机译：使用H1辅助空间amG预处理的H（curl）问题的并行本征解算器

Parallel Eigensolver for H (curl) Problems using H1 Auxiliary Space AMG Preconditioning

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