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Fractals in engineeringtheoretical a...

Lancia, Maria Rosaria.

Fractals in engineeringtheoretical aspects and numerical approximations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractals in engineeringedited by Maria Rosaria Lancia, Anna Rozanova-Pierrat.
Reminder of title:	theoretical aspects and numerical approximations /
other author:	Lancia, Maria Rosaria.
Published:	Cham :Springer International Publishing :2021.
Description:	x, 173 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fractals.
Online resource:	https://doi.org/10.1007/978-3-030-61803-2
ISBN:	9783030618032$q(electronic bk.)

Fractals in engineeringtheoretical aspects and numerical approximations /
Fractals in engineeringtheoretical aspects and numerical approximations /[electronic resource] :edited by Maria Rosaria Lancia, Anna Rozanova-Pierrat. - Cham :Springer International Publishing :2021. - x, 173 p. :ill., digital ;24 cm. - SEMA SIMAI Springer series, ICIAM 2019 SEMA SIMAI Springer series ;v.8. - SEMA SIMAI Springer series.ICIAM 2019 SEMA SIMAI Springer series ;v.10..

C. Alberini and S. Finzi Vita, A numerical approach to a nonlinear diffusion model for self-organised criticality phenomena -- M. Cefalo et al., Approximation of 3D Stokes flows in fractal domains -- S. Fragapane, ∞-Laplacian obstacle problems in fractal domains -- M. Gabbard, Discretization of the Koch Snowflake Domain with Boundary and Interior Energies -- M.V. Marchi, On the dimension of the Sierpinski gasket in l2 -- U. Mosco and M.A. Vivaldi, On the external approximation of Sobolev spaces by M-convergence -- A. Rozanova-Pierrat, Generalization of Rellich-Kondrachov theorem and trace compacteness for fractal boundaries.

Fractal structures or geometries currently play a key role in all models for natural and industrial processes that exhibit the formation of rough surfaces and interfaces. Computer simulations, analytical theories and experiments have led to signiﬁcant advances in modeling these phenomena across wild media. Many problems coming from engineering, physics or biology are characterized by both the presence of diﬀerent temporal and spatial scales and the presence of contacts among diﬀerent components through (irregular) interfaces that often connect media with diﬀerent characteristics. This work is devoted to collecting new results on fractal applications in engineering from both theoretical and numerical perspectives. The book is addressed to researchers in the field.

ISBN: 9783030618032$q(electronic bk.)

Standard No.: 10.1007/978-3-030-61803-2doiSubjects--Topical Terms:

182287
Fractals.

LC Class. No.: QA614.86 / .F733 2021

Dewey Class. No.: 515

Fractals in engineeringtheoretical aspects and numerical approximations /
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505 0 $a C. Alberini and S. Finzi Vita, A numerical approach to a nonlinear diffusion model for self-organised criticality phenomena -- M. Cefalo et al., Approximation of 3D Stokes flows in fractal domains -- S. Fragapane, ∞-Laplacian obstacle problems in fractal domains -- M. Gabbard, Discretization of the Koch Snowflake Domain with Boundary and Interior Energies -- M.V. Marchi, On the dimension of the Sierpinski gasket in l2 -- U. Mosco and M.A. Vivaldi, On the external approximation of Sobolev spaces by M-convergence -- A. Rozanova-Pierrat, Generalization of Rellich-Kondrachov theorem and trace compacteness for fractal boundaries.
520 $a Fractal structures or geometries currently play a key role in all models for natural and industrial processes that exhibit the formation of rough surfaces and interfaces. Computer simulations, analytical theories and experiments have led to signiﬁcant advances in modeling these phenomena across wild media. Many problems coming from engineering, physics or biology are characterized by both the presence of diﬀerent temporal and spatial scales and the presence of contacts among diﬀerent components through (irregular) interfaces that often connect media with diﬀerent characteristics. This work is devoted to collecting new results on fractal applications in engineering from both theoretical and numerical perspectives. The book is addressed to researchers in the field.
650 0 $a Fractals. $3 182287
650 0 $a Fractional calculus. $3 208302
650 0 $a Engineering mathematics. $3 182072
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650 2 4 $a Mathematical and Computational Engineering. $3 775095
650 2 4 $a Numerical Analysis. $3 275681
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 274070
650 2 4 $a Applications of Mathematics. $3 273744
700 1 $a Lancia, Maria Rosaria. $3 893948
700 1 $a Rozanova-Pierrat, Anna. $3 893949
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