scholarly journals Kansa Method for Unsteady Heat Flow in Nonhomogenous Material with a New Proposal of Finding the Good Value of RBF’s Shape Parameter

Materials ◽  
2021 ◽  
Vol 14 (15) ◽  
pp. 4178
Author(s):  
Olaf Popczyk ◽  
Grzegorz Dziatkiewicz

New engineering materials exhibit a complex internal structure that determines their properties. For thermal metamaterials, it is essential to shape their thermophysical parameters’ spatial variability to ensure unique properties of heat flux control. Modeling heterogeneous materials such as thermal metamaterials is a current research problem, and meshless methods are currently quite popular for simulation. The main problem when using new modeling methods is the selection of their optimal parameters. The Kansa method is currently a well-established method of solving problems described by partial differential equations. However, one unsolved problem associated with this method that hinders its popularization is choosing the optimal shape parameter value of the radial basis functions. The algorithm proposed by Fasshauer and Zhang is, as of today, one of the most popular and the best-established algorithms for finding a good shape parameter value for the Kansa method. However, it turns out that it is not suitable for all classes of computational problems, e.g., for modeling the 1D heat conduction in non-homogeneous materials, as in the present paper. The work proposes two new algorithms for finding a good shape parameter value, one based on the analysis of the condition number of the matrix obtained by performing specific operations on interpolation matrix and the other being a modification of the Fasshauer algorithm. According to the error measures used in work, the proposed algorithms for the considered class of problem provide shape parameter values that lead to better results than the classic Fasshauer algorithm.

Author(s):  
Matteo Zavatteri ◽  
Carlo Combi ◽  
Luca Viganò

AbstractA current research problem in the area of business process management deals with the specification and checking of constraints on resources (e.g., users, agents, autonomous systems, etc.) allowed to be committed for the execution of specific tasks. Indeed, in many real-world situations, role assignments are not enough to assign tasks to the suitable resources. It could be the case that further requirements need to be specified and satisfied. As an example, one would like to avoid that employees that are relatives are assigned to a set of critical tasks in the same process in order to prevent fraud. The formal specification of a business process and its related access control constraints is obtained through a decoration of a classic business process with roles, users, and constraints on their commitment. As a result, such a process specifies a set of tasks that need to be executed by authorized users with respect to some partial order in a way that all authorization constraints are satisfied. Controllability refers in this case to the capability of executing the process satisfying all these constraints, even when some process components, e.g., gateway conditions, can only be observed, but not decided, by the process engine responsible of the execution. In this paper, we propose conditional constraint networks with decisions (CCNDs) as a model to encode business processes that involve access control and conditional branches that may be both controllable and uncontrollable. We define weak, strong, and dynamic controllability of CCNDs as two-player games, classify their computational complexity, and discuss strategy synthesis algorithms. We provide an encoding from the business processes we consider here into CCNDs to exploit off-the-shelf their strategy synthesis algorithms. We introduce $$\textsc {Zeta}$$ Z E T A , a tool for checking controllability of CCNDs, synthesizing execution strategies, and executing controllable CCNDs, by also supporting user interactivity. We use $$\textsc {Zeta}$$ Z E T A to compare with the previous research, provide a new experimental evaluation for CCNDs, and discuss limitations.


2021 ◽  
Vol 7 (5) ◽  
pp. 69
Author(s):  
Catherine Cazelles ◽  
Jorge Linares ◽  
Mamadou Ndiaye ◽  
Pierre-Richard Dahoo ◽  
Kamel Boukheddaden

The properties of spin crossover (SCO) nanoparticles were studied for five 2D hexagonal lattice structures of increasing sizes embedded in a matrix, thus affecting the thermal properties of the SCO region. These effects were modeled using the Ising-like model in the framework of local mean field approximation (LMFA). The systematic combined effect of the different types of couplings, consisting of (i) bulk short- and long-range interactions and (ii) edge and corner interactions at the surface mediated by the matrix environment, were investigated by using parameter values typical of SCO complexes. Gradual two and three hysteretic transition curves from the LS to HS states were obtained. The results were interpreted in terms of the competition between the structure-dependent order and disorder temperatures (TO.D.) of internal coupling origin and the ligand field-dependent equilibrium temperatures (Teq) of external origin.


Fractals ◽  
2018 ◽  
Vol 26 (04) ◽  
pp. 1850084 ◽  
Author(s):  
FAJIE WANG ◽  
WEN CHEN ◽  
CHUANZENG ZHANG ◽  
QINGSONG HUA

This study proposes the radial basis function (RBF) based on the Hausdorff fractal distance and then applies it to develop the Kansa method for the solution of the Hausdorff derivative Poisson equations. The Kansa method is a meshless global technique promising for high-dimensional irregular domain problems. It is, however, noted that the shape parameter of the RBFs can have a significant influence on the accuracy and robustness of the numerical solution. Based on the leave-one-out cross-validation algorithm proposed by Rippa, this study presents a new technique to choose the optimal shape parameter of the RBFs with the Hausdorff fractal distance. Numerical experiments show that the Kansa method based on the Hausdorff fractal distance is highly accurate and computationally efficient for the Hausdorff derivative Poisson equations.


2020 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Zhouchao Wei ◽  
Fanrui Wang ◽  
Huijuan Li ◽  
Wei Zhang

<p style='text-indent:20px;'>In this paper, we make a thorough inquiry about the Jacobi stability of 5D self-exciting homopolar disc dynamo system on the basis of differential geometric methods namely Kosambi-Cartan-Chern theory. The Jacobi stability of the equilibria under specific parameter values are discussed through the characteristic value of the matrix of second KCC invariants. Periodic orbit is proved to be Jacobi unstable. Then we make use of the deviation vector to analyze the trajectories behaviors in the neighborhood of the equilibria. Instability exponent is applicable for predicting the onset of chaos quantitatively. In addition, we also consider impulsive control problem and suppress hidden attractor effectively in the 5D self-exciting homopolar disc dynamo.</p>


2019 ◽  
Vol 19 (2) ◽  
pp. 119-136 ◽  
Author(s):  
Małgorzata Gałecka ◽  
Katarzyna Smolny

Abstract The research is part of a wider research problem, whose aim is to find an optimal financing model for cultural institutions in Poland. The purpose of this research is to evaluate the performance indicators of municipal and regional theatres in the context of accessibility to cultural public services. The study forms a verification of previously distinguished indicators of the effectiveness of cultural institutions with a general direction: how to find an optimal financing model of public dramatic theatres. The current research problem is the accessibility of public dramatic theatres in the absence of criteria for the allocation of statutory subsidies. We hypothesise that the absence of criteria for the allocation of statutory subsidies highly diversifies the accessibility of performing arts organisations. The object of study is public dramatic theatres in Poland in the period 2011–2015. We investigated the indicators having an impact on the level of accessibility of public theatres. The statistical methods used allowed us to identify criteria affecting availability. These criteria are recognized in the literature. In addition, we indicate the level of diversification of accessibility by individual public theatres.


2021 ◽  
Vol 107 ◽  
pp. 08001
Author(s):  
Tetiana Shkoda ◽  
Iuliia Gernego ◽  
Mariia Tepliuk ◽  
Anastasia Stefanita

The important factor of business sustainability is human capital. In this regard, there is need to estimate human potential, concerning the effectiveness of its management and commercialization probability. The current research problem lays upon the human potential management and the possibility of its commercialization. The paper aims to provide scientific support on human potential and human capital theories, concerning their connection within the system of a sustainable business development. The research methodology is based on theoretical and methodological approaches of Ukrainian and foreign experts from the last ten years, reflecting human capital and human potential concepts, taking into account business needs. The main part of research highlights the special status of human potential, based on its specific characteristics, including network effects, the ability to convert human potential benefits into significant social and economic effects, hybrid and multiplicative. The paper proposes a new methodological approach on technology for human potential commercialization and management. Human potential commercialization measurement is offered as a new model to assess the significance of human potential and its managerial effectiveness estimation. The study results can be used within programs for sustainable and social business development. More extensive study is required to prove the proposed methodological approach effectiveness within different sectors and branches.


Author(s):  
Ahmed Qasim Saihood ◽  
Dr Suhair Adel Al-Jader

The current research problem is determined by answering the question related to the awareness of the Public Company for Agricultural Supplies in In dependence Proactive work behavior as an approved variable represented by its three dimensions (employee voice, personal initiative, Taking charge) and its impact on entrepreneurial performance as a dependent variable in its four dimensions (organizational innovation, strategic renewal Venturing), using of descriptive and analytical research. for The identification of the extent of the relationship of proactive work behavior in the entrepreneurial performance in correlation and influence, two main hypotheses were formulated, and the questionnaire was adopted as a tool in collecting data and information related to research, as it was prepared based on a number of approved measures and was subjected to measures of validity and reliability It was distributed to a sample of (122) employees of the Public Company for Agricultural Supplies, and to analyze the data, the ready-made statistical program (SPSS) was used, The statistical methods revealed the existence of a correlation and influence between the proactive work behavior and the entrepreneurial performance.


Materials ◽  
2019 ◽  
Vol 12 (7) ◽  
pp. 1107 ◽  
Author(s):  
Zhengwei Yu ◽  
Zhenqing Wang ◽  
Hao Li ◽  
Jianxin Teng ◽  
Lidan Xu

Shape memory epoxy polymer (SMEP) composite specimens with different graphene oxide (GO) contents were manufactured to study the effects of GO mass fractions on epoxy polymer composites. While ensuring the shape memory effect of SMEP, the addition of GO also remarkably strengthened the mechanical performance of the polymers. Analyses of the epoxy polymer composites’ thermal, mechanical, and shape memory performance were conducted through carrying out dynamic mechanical analysis (DMA), thermogravimetric analysis (TGA), and static tensile, three-point bending, impact, and shape memory tests. Moreover, the tensile fracture, bending fracture, and impact fracture interfaces of epoxy resin composites were examined with scanning electron microscopy. The final test results indicated that when the GO content was 0.8 wt %, SMEP composites had good shape memory performance and optimum thermal and mechanical performance.


1984 ◽  
Vol 106 (3) ◽  
pp. 638-645 ◽  
Author(s):  
J. J. Jurinak ◽  
J. W. Mitchell

A finite difference model of a counterflow rotary dehumidifier is used to determine the effect of six matrix properties of dehumidifier performance. The matrix properties considered are the sorption isotherm shape, the maximum sorbent water content, the heat of sorption, the matrix thermal capacitance, matrix moisture diffusivity, and sorption isotherm hysteresis. The isotherm shapes and the sorption parameter values are selected to be representative of available insoluble desiccants. The results of the finite difference calculations show that the shape of the isotherm has a greater effect on dehumidification than the maximum water content. Large adsorption heat effects or matrix thermal capacitance has a detrimental impact on dehumidification. Hysteresis in the adsorption isotherm significantly impairs dehumidifier performance. The anlaysis shows that commercially available solid desiccants can result in nearly optimal dehumidifier performance.


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