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001435185 001__ 1435185
001435185 003__ OCoLC
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001435185 019__ $$a1242465089
001435185 020__ $$a9783030618032$$q(electronic bk.)
001435185 020__ $$a303061803X$$q(electronic bk.)
001435185 020__ $$z9783030618025$$q(print)
001435185 020__ $$z3030618021
001435185 0247_ $$a10.1007/978-3-030-61803-2$$2doi
001435185 035__ $$aSP(OCoLC)1243542810
001435185 040__ $$aEBLCP$$beng$$epn$$cEBLCP$$dGW5XE$$dYDX$$dOCLCO$$dEBLCP$$dOCLCF$$dOCLCQ$$dOCLCO$$dCOM$$dOCLCQ
001435185 049__ $$aISEA
001435185 050_4 $$aQA614.86
001435185 08204 $$a515$$223
001435185 24500 $$aFractals in engineering /$$cMaria Rosaria Lancia, Anna Rozanova-Pierrat, editors.
001435185 260__ $$aCham :$$bSpringer,$$c2021.
001435185 300__ $$a1 online resource (179 pages)
001435185 336__ $$atext$$btxt$$2rdacontent
001435185 337__ $$acomputer$$bc$$2rdamedia
001435185 338__ $$aonline resource$$bcr$$2rdacarrier
001435185 4901_ $$aSEMA SIMAI Springer series ;$$vv. 8
001435185 5050_ $$aIntro -- Preface -- Contents -- Editors and Contributors -- About the Editors -- Contributors -- A Numerical Approach to a Nonlinear Diffusion Model for Self-Organized Criticality Phenomena -- 1 Introduction -- 2 The Basic Model -- 3 Numerical Approximation on a Fixed Grid -- 4 Approximation on a Synchronized Family of Grids -- 5 Numerical Tests -- References -- Approximation of 3D Stokes Flows in Fractal Domains -- 1 Introduction -- 2 Preliminaries -- 3 Existence and Uniqueness Results -- 4 Regularity in Weighted Sobolev Spaces -- 5 Mean Shear Stress -- 6 Numerical Approximation
001435185 5058_ $$a7 Numerical Simulations -- References -- ∞-Laplacian Obstacle Problems in Fractal Domains -- 1 Introduction -- 2 Fractal Domains, Approximating Domains and Fibers -- 3 Setting and Asymptotic Behavior -- 4 Uniqueness and Perspectives -- 5 Uniform and Error Estimates -- References -- Discretization of the Koch Snowflake Domain with Boundary and Interior Energies -- 1 Introduction -- 2 Dirichlet Form on the Koch Snowflake -- 3 Dirichlet Form on the Snowflake Domain -- 4 Inductive Mesh Construction and Discrete Energy Forms -- 5 Numerical Results -- 5.1 Algorithm and Implementation
001435185 5058_ $$a5.2 The Eigenvalue Counting Function -- 5.3 Eigenvectors and Eigenvalues in the Low Eigenvalue Regime -- 5.4 Localization in the High Eigenvalue Regime -- 6 A Landscape Approach to High Frequency Localization -- References -- On the Dimension of the Sierpinski Gasket in l2 -- 1 Introduction -- 2 Invariant Sets -- 2.1 Infinite Dimensional Sierpinski Gasket -- 2.2 Hausdorff Dimension of Invariant Sets -- 2.3 N-Dimensional Simplices -- 3 Invariant Measures -- References -- On the External Approximation of Sobolev Spaces by M-Convergence -- 1 Introduction -- 2 Sobolev Space Approximations
001435185 5058_ $$a3 The M-Convergence Result -- 4 Proof of Lemma 1 -- 5 Proof of Lemma 2 -- 6 Comments -- References -- Generalization of Rellich-Kondrachov Theorem and Trace Compactness for Fractal Boundaries -- 1 Introduction -- 2 Sobolev Extension Domains -- 3 Trace on the Boundary and Green Formulas -- 3.1 Framework of d-Sets and Markov's Local Inequality -- 3.2 General Framework of Closed Subsets of Rn -- 3.3 Integration by Parts and the Green Formula -- 4 Sobolev Admissible Domains and the Generalization of the Rellich-Kondrachov Theorem -- 5 Compactness of the Trace
001435185 5058_ $$a6 Application to the Poisson Boundary Valued and Spectral Problems -- References
001435185 506__ $$aAccess limited to authorized users.
001435185 520__ $$aFractal 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 signicant advances in modeling these phenomena across wild media. Many problems coming from engineering, physics or biology are characterized by both the presence of dierent temporal and spatial scales and the presence of contacts among dierent components through (irregular) interfaces that often connect media with dierent 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.
001435185 588__ $$aDescription based on print version record.
001435185 650_0 $$aFractals.
001435185 650_0 $$aFractional calculus.
001435185 650_0 $$aEngineering mathematics.
001435185 650_6 $$aFractales.
001435185 650_6 $$aDérivées fractionnaires.
001435185 650_6 $$aMathématiques de l'ingénieur.
001435185 655_0 $$aElectronic books.
001435185 7001_ $$aLancia, Maria Rosaria.
001435185 7001_ $$aRozanova-Pierrat, Anna.
001435185 77608 $$iPrint version:$$aLancia, Maria Rosaria.$$tFractals in Engineering: Theoretical Aspects and Numerical Approximations.$$dCham : Springer International Publishing AG, ©2021$$z9783030618025
001435185 830_0 $$aSEMA SIMAI Springer series ;$$vv. 8.
001435185 852__ $$bebk
001435185 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-61803-2$$zOnline Access$$91397441.1
001435185 909CO $$ooai:library.usi.edu:1435185$$pGLOBAL_SET
001435185 980__ $$aBIB
001435185 980__ $$aEBOOK
001435185 982__ $$aEbook
001435185 983__ $$aOnline
001435185 994__ $$a92$$bISE