Fractals in Engineering: Theoretical Aspects and Numerical Approximations / / edited by Maria Rosaria Lancia, Anna Rozanova-Pierrat

• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021
• Edizione: 1st ed. 2021.
• Descrizione fisica: 1 online resource (179 pages) : illustrations
• Disciplina: 658.4034
• Soggetto topico: Mathematical analysis; Engineering mathematics; Engineering - Data processing; Numerical analysis; Mathematical models; Mathematics; Analysis; Mathematical and Computational Engineering Applications; Numerical Analysis; Mathematical Modeling and Industrial Mathematics; Applications of Mathematics; Càlcul; Matemàtica aplicada; Funcions; Anàlisi harmònica; Anàlisi matemàtica
• Soggetto genere / forma: Llibres electrònics
• Persona (resp. second.): LanciaMaria Rosaria; Anna Rozanova-Pierrat
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Fractals in engineering
• ISBN: 3-030-61803-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910484636403321
• Lo trovi qui: Univ. Federico II
• Serie: ICIAM 2019 SEMA SIMAI Springer Series, . 2662-7191 ; ; 8