Parallel eigensolver for H(curl) problems using H1-auxiliary space AMG preconditioning

Kolev, T V ; Vassilevski, P S

Lawrence Livermore National Laboratory

关键词: Eigenvectors;    Lawrence Livermore National Laboratory;    Eigenvalues;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;   

DOI  :  10.2172/900179
RP-ID  :  UCRL-TR-226197
RP-ID  :  W-7405-ENG-48
RP-ID  :  900179

美国|英语

来源: UNT Digital Library

【 摘 要 】

This report describes an application of the recently developed H{sup 1}-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 [7], was implemented in the hypre library, [10, 11] 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 [9] and the parallel AMG (algebraic multigrid) solver BoomerAMG [2] 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.