Mathematical Models for Eddy Currents and Magnetostatics (Record no. 93831)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05027nam a22004935i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-94-007-0202-8 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220082527.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130930s2014 ne | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789400702028 |
| -- | 978-94-007-0202-8 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-94-007-0202-8 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA71-90 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PDE |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | COM014000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT003000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 004 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Touzani, Rachid. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Mathematical Models for Eddy Currents and Magnetostatics |
| Medium | [electronic resource] : |
| Remainder of title | With Selected Applications / |
| Statement of responsibility, etc | by Rachid Touzani, Jacques Rappaz. |
| 264 #1 - | |
| -- | Dordrecht : |
| -- | Springer Netherlands : |
| -- | Imprint: Springer, |
| -- | 2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XII, 305 p. 42 illus., 31 illus. in color. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Scientific Computation, |
| International Standard Serial Number | 1434-8322 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Part I Eddy Current Models -- Mathematical framework -- Introduction -- Preliminaries.- The Three-Dimensional Case -- The Two-Dimensional Case -- Maxwell and eddy current equations -- Introduction -- Maxwell equations -- Low frequency approximation -- Static cases.- Time{Harmonic Regime -- Eddy Current Equations -- Two-dimensional models.- Introduction -- A solenoidal two-dimensional model -- A transversal model -- Three-dimensional models.- A current density formulation -- A magnetic field formulation -- An electric field model -- Axisymmetric models -- Axisymmetric setting -- A magnetic field model -- A scalar potential model -- Eddy current models with thin inductors -- The two-dimensional solenoidal model -- The two-dimensional transversal model -- Three-dimensional models -- Numerical Methods -- Introduction and main notations -- Standard (H1) finite element method -- A finite element method for the 2-D solenoidal model -- Finite elements for the axisymmetric model.- Finite elements in H(curl){spaces.- Finite elements in H(div){spaces -- The boundary element method for boundary integral equations -- Approximation of a domain integral equation -- Coupled finite element/boundary element methods -- Part II Selected Applications -- Induction Heating Processes.- A mathematical model.- Bibliographical comments -- A 2-D stationary problem -- A 2-D time dependent problem.- Numerical experiments.- An optimal control problem -- Magnetohydrodynamics and Magnetic Shaping -- Incompressible Magnetohydrodynamics.- Eddy current free boundary problems.- An Electromagnetic Casting problem -- Inductively coupled plasma torches.- The model.- Numerical approximation -- A numerical simulation.- Ferromagnetic Shielding.- Mathematical analysis.- An iterative procedure.- Solution of the linear problem by a domain decomposition method.- An iterative procedure for the discrete nonlinear problem.- Numerical results.- The electrolytic process for aluminium production -- Introduction.- The model -- Numerical approximation -- Numerical results -- Mathematical Symbols -- References -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer science. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Engineering mathematics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computational Science and Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Numerical and Computational Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Appl.Mathematics/Computational Methods of Engineering. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Rappaz, Jacques. |
| Relator term | author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9789400702011 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Scientific Computation, |
| -- | 1434-8322 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-94-007-0202-8 |
| 912 ## - | |
| -- | ZDB-2-PHA |
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