The Resource Computational electromagnetism : Cetraro, Italy 2014, Houssem Haddar, Ralf Hiptmair, Peter Monk, Rodolfo Rodríguez ; Alfredo Bermúdez de Castro, Alberto Valli, editors

Computational electromagnetism : Cetraro, Italy 2014, Houssem Haddar, Ralf Hiptmair, Peter Monk, Rodolfo Rodríguez ; Alfredo Bermúdez de Castro, Alberto Valli, editors

Label
Computational electromagnetism : Cetraro, Italy 2014
Title
Computational electromagnetism
Title remainder
Cetraro, Italy 2014
Statement of responsibility
Houssem Haddar, Ralf Hiptmair, Peter Monk, Rodolfo Rodríguez ; Alfredo Bermúdez de Castro, Alberto Valli, editors
Creator
Contributor
Author
Editor
Subject
Genre
Language
eng
Summary
Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro in June 2014, the material covered includes the spatial discretization of Maxwell's equations in a bounded domain, the numerical approximation of the eddy current model in harmonic regime, the time domain integral equation method (with an emphasis on the electric-field integral equation) and an overview of qualitative methods for inverse electromagnetic scattering problems. Assuming some knowledge of the variational formulation of PDEs and of finite element/boundary element methods, the book is suitable for PhD students and researchers interested in numerical approximation of partial differential equations and scientific computing
Member of
Cataloging source
GW5XE
Dewey number
537.01/51
Illustrations
illustrations
Index
no index present
LC call number
QC759.6
Literary form
non fiction
http://bibfra.me/vocab/lite/meetingDate
2014
http://bibfra.me/vocab/lite/meetingName
CIME School on "Computational Electromagnetism"
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1956-
  • 1950-
  • 1953-
http://library.link/vocab/relatedWorkOrContributorName
  • Haddar, Houssem
  • Hiptmair, Ralf
  • Monk, Peter
  • Rodríguez, Rodolfo
  • Bermúdez de Castro, Alfredo
  • Valli, A.
Series statement
Lecture notes in mathematics,
Series volume
2148
http://library.link/vocab/subjectName
  • Electromagnetism
  • Maxwell equations
  • Mathematics
  • Mathematics
  • Physical Sciences & Mathematics
Label
Computational electromagnetism : Cetraro, Italy 2014, Houssem Haddar, Ralf Hiptmair, Peter Monk, Rodolfo Rodríguez ; Alfredo Bermúdez de Castro, Alberto Valli, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-19306-9
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (vii, 240 pages)
File format
unknown
Form of item
online
Isbn
9783319193069
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-19306-9
Other physical details
illustrations (some color)
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)915137507
  • (OCoLC)ocn915137507
Label
Computational electromagnetism : Cetraro, Italy 2014, Houssem Haddar, Ralf Hiptmair, Peter Monk, Rodolfo Rodríguez ; Alfredo Bermúdez de Castro, Alberto Valli, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-19306-9
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (vii, 240 pages)
File format
unknown
Form of item
online
Isbn
9783319193069
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-19306-9
Other physical details
illustrations (some color)
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)915137507
  • (OCoLC)ocn915137507

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