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Antonella Cifalinò, Irene Eleonora Lisi, Mara Gorli and Giuseppe Scaratti
Modern intra- and inter-organizational arrangements require firms to cross boundaries, but this process represents a crucial and complex challenge, especially for organizations…
Abstract
Purpose
Modern intra- and inter-organizational arrangements require firms to cross boundaries, but this process represents a crucial and complex challenge, especially for organizations that face pluralistic tensions. Scholars still lack sufficient knowledge of how boundaries can be crossed and what kind of boundary management is necessary within pluralistic contexts. This paper aims to enrich the understanding of these issues by exploring how strategy maps can be mobilized and used as boundary objects to elicit boundary-spanning practices that foster cross-boundary collaboration in pluralistic organizations.
Design/methodology/approach
This paper employs the case study methodology to capture the dynamics of cross-boundary management elicited by the use of a strategy map within a pluralistic social/healthcare organizational context.
Findings
This study identifies four practices of boundary spanning (i.e. identifying and crossing problem boundaries, orchestrating collective responsibilities, acknowledging a common understanding of convergent values and goals, and evolving into action) in the analysed pluralistic context and investigates the conditions under which cross-boundary interactions can mobilize a shared zone of knowing via strategy maps.
Originality/value
This paper suggests a complex (and not linear) processual model of boundary management in pluralistic contexts in which the use of the strategy map mobilizes a dynamic of centrifugal and centripetal movements which engage plural actors in a shared site of collaborative knowing. The study contributes to a conceptualization of boundary management in pluralistic contexts as a progressive social accomplishment.
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In this paper, the Cauchy-type problem for the Laplace equation was solved in the rectangular domain with the use of the Chebyshev polynomials. The purpose of this paper is to…
Abstract
Purpose
In this paper, the Cauchy-type problem for the Laplace equation was solved in the rectangular domain with the use of the Chebyshev polynomials. The purpose of this paper is to present an optimal choice of the regularization parameter for the inverse problem, which allows determining the stable distribution of temperature on one of the boundaries of the rectangle domain with the required accuracy.
Design/methodology/approach
The Cauchy-type problem is ill-posed numerically, therefore, it has been regularized with the use of the modified Tikhonov and Tikhonov–Philips regularization. The influence of the regularization parameter choice on the solution was investigated. To choose the regularization parameter, the Morozov principle, the minimum of energy integral criterion and the L-curve method were applied.
Findings
Numerical examples for the function with singularities outside the domain were solved in this paper. The values of results change significantly within the calculation domain. Next, results of the sought temperature distributions, obtained with the use of different methods of choosing the regularization parameter, were compared. Methods of choosing the regularization parameter were evaluated by the norm Nmax.
Practical implications
Calculation model described in this paper can be applied to determine temperature distribution on the boundary of the heated wall of, for instance, a boiler or a body of the turbine, that is, everywhere the temperature measurement is impossible to be performed on a part of the boundary.
Originality/value
The paper presents a new method for solving the inverse Cauchy problem with the use of the Chebyshev polynomials. The choice of the regularization parameter was analyzed to obtain a solution with the lowest possible sensitivity to input data disturbances.
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Stefano Costa and Eugenio Costamagna
This paper aims to solve inhomogeneous dielectric problems by matching boundary conditions at the interfaces among homogeneous subdomains. The capabilities of Hilbert transform…
Abstract
Purpose
This paper aims to solve inhomogeneous dielectric problems by matching boundary conditions at the interfaces among homogeneous subdomains. The capabilities of Hilbert transform computations are deeply investigated in the case of limited numbers of samples, and a refined model is presented by means of investigating accuracies in a case study with three subdomains.
Design/methodology/approach
The accuracies, refined by Richardson extrapolation to zero error, are compared to finite element (FEM) and finite difference methods. The boundary matching procedures can be easily applied to the results of a previous Schwarz–Christoffel (SC) conformal mapping stage in SC + BC procedures, to cope with field singularities or with open boundary problems.
Findings
The proposed field computations are of general interest both for electrostatic and magnetostatic field analysis and optimization. They can be useful as comparison tools for FEM results or when severe field singularities can impair the accuracies of other methods.
Research limitations/implications
This static field methodology, of course, can be used to analyse transverse electro magnetic (TEM) or quasi-TEM propagation modes. It is possible that, in some case, these may make a contribution to the analysis of axis symmetrical problems.
Originality/value
The most relevant result is the possible introduction of SC + BC computations as a standard tool for solving inhomogeneous dielectric field problems.
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Tadej Dobravec, Boštjan Mavrič, Rizwan Zahoor and Božidar Šarler
This study aims to simulate the dendritic growth in Stokes flow by iteratively coupling a domain and boundary type meshless method.
Abstract
Purpose
This study aims to simulate the dendritic growth in Stokes flow by iteratively coupling a domain and boundary type meshless method.
Design/methodology/approach
A preconditioned phase-field model for dendritic solidification of a pure supercooled melt is solved by the strong-form space-time adaptive approach based on dynamic quadtree domain decomposition. The domain-type space discretisation relies on monomial augmented polyharmonic splines interpolation. The forward Euler scheme is used for time evolution. The boundary-type meshless method solves the Stokes flow around the dendrite based on the collocation of the moving and fixed flow boundaries with the regularised Stokes flow fundamental solution. Both approaches are iteratively coupled at the moving solid–liquid interface. The solution procedure ensures computationally efficient and accurate calculations. The novel approach is numerically implemented for a 2D case.
Findings
The solution procedure reflects the advantages of both meshless methods. Domain one is not sensitive to the dendrite orientation and boundary one reduces the dimensionality of the flow field solution. The procedure results agree well with the reference results obtained by the classical numerical methods. Directions for selecting the appropriate free parameters which yield the highest accuracy and computational efficiency are presented.
Originality/value
A combination of boundary- and domain-type meshless methods is used to simulate dendritic solidification with the influence of fluid flow efficiently.
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Anass Ourraoui and Abdesslem Ayoujil
In this article, the authors discuss the existence and multiplicity of solutions for an anisotropic discrete boundary value problem in T-dimensional Hilbert space. The approach is…
Abstract
Purpose
In this article, the authors discuss the existence and multiplicity of solutions for an anisotropic discrete boundary value problem in T-dimensional Hilbert space. The approach is based on variational methods especially on the three critical points theorem established by B. Ricceri.
Design/methodology/approach
The approach is based on variational methods especially on the three critical points theorem established by B. Ricceri.
Findings
The authors study the existence of results for a discrete problem, with two boundary conditions type. Accurately, the authors have proved the existence of at least three solutions.
Originality/value
An other feature is that problem is with non-local term, which makes some difficulties in the proof of our results.
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Phillip Baumann and Kevin Sturm
The goal of this paper is to give a comprehensive and short review on how to compute the first- and second-order topological derivatives and potentially higher-order topological…
Abstract
Purpose
The goal of this paper is to give a comprehensive and short review on how to compute the first- and second-order topological derivatives and potentially higher-order topological derivatives for partial differential equation (PDE) constrained shape functionals.
Design/methodology/approach
The authors employ the adjoint and averaged adjoint variable within the Lagrangian framework and compare three different adjoint-based methods to compute higher-order topological derivatives. To illustrate the methodology proposed in this paper, the authors then apply the methods to a linear elasticity model.
Findings
The authors compute the first- and second-order topological derivatives of the linear elasticity model for various shape functionals in dimension two and three using Amstutz' method, the averaged adjoint method and Delfour's method.
Originality/value
In contrast to other contributions regarding this subject, the authors not only compute the first- and second-order topological derivatives, but additionally give some insight on various methods and compare their applicability and efficiency with respect to the underlying problem formulation.
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Anna Dubois, Klas Hedvall and Viktoria Sundquist
The purpose of this paper is to inquire into how conceptualising is done in the industrial network approach (INA).
Abstract
Purpose
The purpose of this paper is to inquire into how conceptualising is done in the industrial network approach (INA).
Design/methodology/approach
The description and analysis of conceptualising is based on key INA references and an example illustrating the characteristics of conceptualising in individual studies.
Findings
The paper concludes that there is an open and interactive way of conceptualising in the INA. The empirical and theoretical grounding achieved through combining concepts in individual empirical studies interplays with conceptual development in the research community over time.
Research limitations/implications
Three paradoxes are suggested for further discussion of conceptualising as a key element in theorising in the INA community.
Originality/value
By explicating how INA researchers engage in conceptualising both in individual empirical studies and as a community, the authors identify characteristics similar to the empirical phenomena in focus of the research: interaction, combining and heterogeneity of concepts.
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