A Cluster Mean Approach for Topology Optimization of Natural Frequencies and Bandgaps With Simple/Multiple Eigenfrequencies
Sign Up to like & getrecommendations! Published in 2025 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.70092
Abstract: This study presents a novel approach utilizing cluster means to address the non‐differentiability issue arising from multiple eigenvalues in eigenfrequency and bandgap optimization. This study builds upon the method proposed by Zhang et al., extending… read more here.
Keywords: multiple eigenvalues; cluster mean; topology; approach ... See more keywords
Linear Combinations of Cluster Mean-Field States Applied to Spin Systems.
Sign Up to like & getrecommendations! Published in 2024 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.4c00171
Abstract: We present an innovative cluster-based method employing linear combinations of diverse cluster mean-field states and apply it to describe the ground state of strongly correlated spin systems. In cluster mean-field theory, the ground state wave… read more here.
Keywords: linear combinations; spin systems; field states; mean field ... See more keywords
Double Decomposition of Level-1 Variables in Multilevel Models: An Analysis of the Flynn Effect in the NSLY Data
Sign Up to like & getrecommendations! Published in 2017 at "Multivariate Behavioral Research"
DOI: 10.1080/00273171.2017.1354758
Abstract: ABSTRACT This paper introduces an extension of cluster mean centering (also called group mean centering) for multilevel models, which we call “double decomposition (DD).” This centering method separates between-level variance, as in cluster mean centering,… read more here.
Keywords: cluster mean; analysis; mean centering; level ... See more keywords