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Suitable Function (suitable + function)

Distribution by Scientific Domains

Mathematics and Statistics	50%
Engineering	50%

Selected Abstracts

Use of thermodynamic functions for expressing some relevant aspects of sustainability

INTERNATIONAL JOURNAL OF ENERGY RESEARCH, Issue 1 2005
Simone Bastianoni
Abstract Sustainability is a key concept for our future and the role of thermodynamics in its assessment is fundamental. The use of energy and matter must be considered not only from a microscopic viewpoint (the use of a single fuel or material, or the presence of a single pollutant) but also by means of holistic approaches able to synthesize all the characteristics of a single process. Exergy is a suitable function for this purpose. The exergy concept can also be applied to natural systems and to systems at the interface between natural and artificial ones. In this context also emergy can express very helpful indications. Four different efficiency indices are here examined to better understand different aspects of the sustainability of processes and systems. An application to two similar agricultural systems (wine production in Italy) shows how these indices work in real case studies. Copyright © 2005 John Wiley & Sons, Ltd. [source]

Weighted isoperimetric inequalities on ,n and applications to rearrangements

MATHEMATISCHE NACHRICHTEN, Issue 4 2008
M. Francesca Betta
Abstract We study isoperimetric inequalities for a certain class of probability measures on ,n together with applications to integral inequalities for weighted rearrangements. Furthermore, we compare the solution to a linear elliptic problem with the solution to some "rearranged" problem defined in the domain {x: x1 < , (x2, ,, xn)} with a suitable function , (x2, ,, xn). (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Reconstruction of the shape and location of arbitrary homogeneous objects using sequentially incidences

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, Issue 5 2008
M. Khalaj-Amirhosseini
Abstract In this study, a new approach is introduced to reconstruct the location and shape of arbitrary homogeneous scatterers (conductors and lossy or lossless dielectrics) with arbitrary contrast. First, the induction current is reconstructed for radiation of each transmitter. Then, the amplitude of all reconstructed induction currents are summed with each other as a suitable function to estimate the location and shape of the scatterers. The performance of the introduced procedure is verified using some examples. © 2008 Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 1248,1251, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.23334 [source]

eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 10 2010
A. Nouy
Abstract An eXtended Stochastic Finite Element Method has been recently proposed for the numerical solution of partial differential equations defined on random domains. This method is based on a marriage between the eXtended Finite Element Method and spectral stochastic methods. In this article, we propose an extension of this method for the numerical simulation of random multi-phased materials. The random geometry of material interfaces is described implicitly by using random level set functions. A fixed deterministic finite element mesh, which is not conforming to the random interfaces, is then introduced in order to approximate the geometry and the solution. Classical spectral stochastic finite element approximation spaces are not able to capture the irregularities of the solution field with respect to spatial and stochastic variables, which leads to a deterioration of the accuracy and convergence properties of the approximate solution. In order to recover optimal convergence properties of the approximation, we propose an extension of the partition of unity method to the spectral stochastic framework. This technique allows the enrichment of approximation spaces with suitable functions based on an a priori knowledge of the irregularities in the solution. Numerical examples illustrate the efficiency of the proposed method and demonstrate the relevance of the enrichment procedure. Copyright © 2010 John Wiley & Sons, Ltd. [source]

Non-linear initial boundary value problems of hyperbolic,parabolic type.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 3 2002
A general investigation of admissible couplings between systems of higher order.
This is the second part of an article that is devoted to the theory of non-linear initial boundary value problems. We consider coupled systems where each system is of higher order and of hyperbolic or parabolic type. Our goal is to characterize systematically all admissible couplings between systems of higher order and different type. By an admissible coupling we mean a condition that guarantees the existence, uniqueness and regularity of solutions to the respective initial boundary value problem. In part 1, we develop the underlying theory of linear hyperbolic and parabolic initial boundary value problems. Testing the PDEs with suitable functions we obtain a priori estimates for the respective solutions. In particular, we make use of the regularity theory for linear elliptic boundary value problems that was previously developed by the author. In part 2 at hand, we prove the local in time existence, uniqueness and regularity of solutions to the quasilinear initial boundary value problem (3.4) using the so-called energy method. In the above sense the regularity assumptions (A6) and (A7) about the coefficients and right-hand sides define the admissible couplings. In part 3, we extend the results of part 2 to non-linear initial boundary value problems. In particular, the assumptions about the respective parameters correspond to the previous regularity assumptions and hence define the admissible couplings now. Moreover, we exploit the assumptions about the respective parameters for the case of two coupled systems. Copyright © 2002 John Wiley & Sons, Ltd. [source]

Non-linear initial boundary value problems of hyperbolic,parabolic type.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 3 2002
A general investigation of admissible couplings between systems of higher order.
This is the third part of an article that is devoted to the theory of non-linear initial boundary value problems. We consider coupled systems where each system is of higher order and of hyperbolic or parabolic type. Our goal is to characterize systematically all admissible couplings between systems of higher order and different type. By an admissible coupling we mean a condition that guarantees the existence, uniqueness and regularity of solutions to the respective initial boundary value problem. In part 1, we develop the underlying theory of linear hyperbolic and parabolic initial boundary value problems. Testing the PDEs with suitable functions we obtain a priori estimates for the respective solutions. In particular, we make use of the regularity theory for linear elliptic boundary value problems that was previously developed by the author. In part 2, we prove the local in time existence, uniqueness and regularity of solutions to quasilinear initial boundary value problems using the so-called energy method. In the above sense the regularity assumptions about the coefficients and right-hand sides define the admissible couplings. In part 3 at hand, we extend the results of part 2 to the nonlinear initial boundary value problem (4.2). In particular, assumptions (B8) and (B9) about the respective parameters correspond to the previous regularity assumptions and hence define the admissible couplings now. Moreover, we exploit assumptions (B8) and (B9) for the case of two coupled systems. Copyright © 2002 John Wiley & Sons, Ltd. [source]