Automated Phase-Ordering of Loop Optimizations Based on Polyhedron Model

2008 10th IEEE International Conference on High Performance Computing and Communications ◽

10.1109/hpcc.2008.133 ◽

2008 ◽

Cited By ~ 2

Author(s):

Yunzhi Xue ◽

Chen Zhao

Keyword(s):

Loop Optimizations ◽

Phase Ordering ◽

Polyhedron Model

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Translational and rotational phase ordering of symmetric dimer mesogens: Molecular rigidity effect

Journal of Molecular Structure ◽

10.1016/j.molstruc.2021.130336 ◽

2021 ◽

Vol 1236 ◽

pp. 130336

Author(s):

D.S. Ramakrishna ◽

T. Jaison Jose ◽

P. Lakshmi Praveen

Keyword(s):

Molecular Rigidity ◽

Phase Ordering ◽

Rotational Phase

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Data-based polyhedron model for optimization of engineering structures involving uncertainties

Data-Centric Engineering ◽

10.1017/dce.2021.8 ◽

2021 ◽

Vol 2 ◽

Author(s):

Zhiping Qiu ◽

Han Wu ◽

Isaac Elishakoff ◽

Dongliang Liu

Keyword(s):

Linear Programming ◽

Convex Polyhedron ◽

Linear Optimization ◽

Optimal Solution ◽

Composite Plates ◽

Convex Polyhedra ◽

Chebyshev Inequality ◽

Engineering Structures ◽

Load Bearing ◽

Polyhedron Model

Abstract This paper studies the data-based polyhedron model and its application in uncertain linear optimization of engineering structures, especially in the absence of information either on probabilistic properties or about membership functions in the fussy sets-based approach, in which situation it is more appropriate to quantify the uncertainties by convex polyhedra. Firstly, we introduce the uncertainty quantification method of the convex polyhedron approach and the model modification method by Chebyshev inequality. Secondly, the characteristics of the optimal solution of convex polyhedron linear programming are investigated. Then the vertex solution of convex polyhedron linear programming is presented and proven. Next, the application of convex polyhedron linear programming in the static load-bearing capacity problem is introduced. Finally, the effectiveness of the vertex solution is verified by an example of the plane truss bearing problem, and the efficiency is verified by a load-bearing problem of stiffened composite plates.

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Multifaceted phase ordering kinetics of an antiferromagnetic spin-1 condensate

Scientific Reports ◽

10.1038/s41598-021-88454-7 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Joanna Pietraszewicz ◽

Aleksandra Seweryn ◽

Emilia Witkowska

Keyword(s):

Scaling Laws ◽

Study Phase ◽

One Dimensional ◽

Phase Domain ◽

Ordering Kinetics ◽

Domain Coarsening ◽

Long Time ◽

Phase Ordering ◽

Kinetics Of ◽

Antiferromagnetic Spin

AbstractWe study phase domain coarsening in the long time limit after a quench of magnetic field in a quasi one-dimensional spin-1 antiferromagnetic condensate. We observe that the growth of correlation length obeys scaling laws predicted by the two different models of phase ordering kinetics, namely the binary mixture and vector field. We derive regimes of clear realization for both of them. We demonstrate appearance of atypical scaling laws, which emerge in intermediate regions.

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