Computational electromagnetism : Cetraro, Italy 2014 /: Cetraro, Italy 2014. (2015)

• Record Type: Book
• Further Information: Note: Houssem Haddar, Ralf Hiptmair, Peter Monk, Rodolfo Rodríguez ; Alfredo Bermúdez de Castro, Alberto Valli, editors.
• Authors: Haddar, Houssem; Hiptmair, Ralf; Monk, Peter, 1956-; Rodríguez, Rodolfo
• Editors: Bermúdez de Castro, Alfredo, 1950-; Valli, A (Alberto), 1953-
• Other Names: CIME School on "Computational Electromagnetism"
• Contents: Intro; Preface; Contents; Maxwell's Equations: Continuous and Discrete; 1 Introduction; 2 Maxwell's Equations; Bibliographical Notes; 2.1 Fields; 2.1.1 The Electric Field; 2.1.2 The Magnetic Induction; 2.2 Differential and Integral Forms; 2.2.1 Fundamental Concepts; 2.2.2 Euclidean Vector Proxies in 3D; 2.2.3 Transformation of Forms; 2.3 Topological Electrodynamic Laws; 2.3.1 Circulation and Flux Laws; 2.3.2 Exterior Derivative; 2.3.3 Potentials; 2.4 Energies and Material Laws; 2.4.1 The Exterior Product; 2.4.2 Field Energies; 2.4.3 Material Laws; 2.4.4 Energy Balance (Poynting's Theorem) 2.5 Maxwell's Equations: Variational Approach2.5.1 a-Based Variational Formulation; 2.5.2 h-Based Variational Formulation; 2.5.3 Boundary Conditions; 3 Co-chains and Whitney Forms; Bibliographical Notes; 3.1 Meshes; 3.2 Co-chains; 3.2.1 Definition; 3.2.2 Co-chain Calculus; 3.3 Discrete Electrodynamic Laws; 3.4 Whitney Forms; 3.4.1 Whitney Map; 3.4.2 Local Construction of Simplicial Whitney Forms; 3.4.3 Local Commuting Diagram Property; 3.4.4 Global Whitney Forms; 3.4.5 Affine Equivalence; 3.4.6 General Discrete Differential Forms; 3.5 Commuting Projections; 3.5.1 Nodal Interpolation 4.7.3 Discrete Maxwell Cavity ProblemReferences; Numerical Approximation of Maxwell Equations in Low-Frequency Regime; 1 Introduction; 2 Eddy Currents and Eddy Current Model; 2.1 Maxwell System in Harmonic Regime; 2.2 Eddy Current Model; 3 Eddy Current Problem with Input Current Intensities as Boundary Data; 3.1 A Magnetic Field Formulation; 3.2 Introducing a Magnetic Potential; 3.3 Discretization; 3.4 Numerical Experiments; 4 A Mixed Formulation; 4.1 Eddy Current Problems Involving Inner Source Currents; 5 A Potential Formulation; 5.1 Eddy Current Problem
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Extent: 1 online resource (vii, 240 pages), illustrations (some color)
• Subjects: 537.01/51; Mathematics; Electromagnetism -- Mathematics -- Congresses; Maxwell equations -- Congresses; Computer science -- Mathematics; Differential equations, partial; Electromagnetism -- Mathematics; Maxwell equations; Mathematics - General; Mathematics; Physical Sciences & Mathematics; Science -- Electricity; Mathematics -- Differential Equations; Science -- Mathematical Physics; Optical physics; Differential calculus & equations; Mathematical physics; Mathematics -- Counting & Numeration; Numerical analysis; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319193069; 3319193066
• Related ISBNs: 9783319193052
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed July 30, 2015).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.