scholarly journals A Closer Look at Local Eigenvalue Solvers for Adaptive FETI-DP and BDDC

2020 ◽  
pp. 235-242
Author(s):  
Axel Klawonn ◽  
Martin J. Kühn ◽  
Oliver Rheinbach
Keyword(s):  
Eigenvalue Solvers

Extensions of the Modal Assurance Criterion

1990 ◽  
Vol 112 (4) ◽  
pp. 468-472 ◽  
Author(s):  
W. Heylen ◽  
T. Janter
Keyword(s):  
Model Updating ◽  
Measurement Model ◽  
Vector Spaces ◽  
Modal Assurance Criterion ◽  
Dynamic Data ◽  
Approximate Eigenvalue ◽  
Improve Model ◽  
Element Matrix ◽  
Model Correlation ◽  
Eigenvalue Solvers

The modal assurance criterion (MAC) in general measures the degree of proportion between two (modal) vectors, in the form of a correlation coefficient of a least squares ratio estimate. The MAC principle can be extended in several ways, thus increasing its field of applications. The partial MAC (PMAC) correlates parts of (modal) vectors. The spatial MAC (SMAC) allows to compare different vector spaces. Furthermore this paper suggests a way of calculating the MAC sensitivities to model changes. All those extensions are illustrated by their possible uses in correlating measured dynamic data with (finite element) matrix models and in the area of model updating. Those applications might be helpful tools to indicate regions of poor measurement-model correlation, to complete measured vectors, to judge approximate eigenvalue solvers, or to improve model updating procedures.

scholarly journals Convergence Theory for Preconditioned Eigenvalue Solvers in a Nutshell

2015 ◽  
Vol 17 (3) ◽  
pp. 713-727 ◽  
Author(s):  
Merico E. Argentati ◽  
Andrew V. Knyazev ◽  
Klaus Neymeyr ◽  
Evgueni E. Ovtchinnikov ◽  
Ming Zhou
Keyword(s):  
Convergence Theory ◽  
Eigenvalue Solvers

scholarly journals Eigenvalue solvers for atomistic simulations of electronic structures with NEMO-3D

2008 ◽  
Vol 7 (3) ◽  
pp. 297-300 ◽  
Author(s):  
M. Naumov ◽  
S. Lee ◽  
B. Haley ◽  
H. Bae ◽  
S. Clark ◽  
...  
Keyword(s):  
Electronic Structures ◽  
Atomistic Simulations ◽  
Eigenvalue Solvers

scholarly journals Eigenvalue Solvers for Modeling Nuclear Reactors on Leadership Class Machines

2018 ◽  
Vol 190 (1) ◽  
pp. 31-44 ◽  
Author(s):  
R. N. Slaybaugh ◽  
M. Ramirez-Zweiger ◽  
Tara Pandya ◽  
Steven Hamilton ◽  
T. M. Evans
Keyword(s):  
Nuclear Reactors ◽  
Leadership Class ◽  
Eigenvalue Solvers
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