عنوان

Mathematical foundations of computational electromagnetism /

شابک

3030099970

شابک

3319708414

شابک

3319708422

شابک

3319708430

شابک

9783030099978

شابک

9783319708416

شابک

9783319708423

شابک

9783319708430

شابک اشتباه

3319708414

شابک اشتباه

9783319708416

عنوان اصلي

Mathematical foundations of computational electromagnetism /

نام عام مواد

[Book]

نام نخستين پديدآور

Franck Assous, Patrick Ciarlet, Simon Labrunie.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource (ix, 458 pages) :

ساير جزييات

illustrations

عنوان فروست

Applied Mathematical Sciences,

مشخصه جلد

198

شاپا ي ISSN فروست

0066-5452 ;

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Foreword -- Physical framework and models -- Electromagnetic fields and Maxwell's equations -- Stationary equations -- Coupling with other models -- Approximate models -- Elements of mathematical classifications -- Boundary conditions and radiation conditions -- Energy matters -- Bibliographical notes -- Basic applied functional analysis -- Function spaces for scalar fields -- Vector fields: standard function spaces -- Practical function spaces in the (t, x) variable -- Complements of applied functional analysis -- Vector fields: tangential trace revisited -- Scalar and vector potentials: the analyst's and topologist's points of view -- Extraction of scalar potentials and consequences -- Extraction of vector potentials -- Extraction of vector potentials -- Vanishing normal trace -- Extraction of vector potentials -- Complements -- Helmholtz decompositions -- Abstract mathematical framework -- Basic Results -- Static problems -- Time-dependent problems -- Time-dependent problems: improved regularity results -- Time-harmonic problems -- Summing up -- Analyses of exact problems: first-order models -- Energy matters: uniqueness of the fields -- Well-posedness -- Analyses of approximate models -- Electrostatic problem -- Magnetostatic problem -- Further comments around static problems -- Other approximate models -- Analyses of exact problems: second-order models -- First-order to second-order equations -- Well-posedness of the second-order Maxwell equations -- Second-order to first-order equations -- Other variational formulations -- Compact imbeddings -- Improved regularity for augmented and mixed augmented formulations -- Analyses of time-harmonic problems -- Compact imbeddings: complements -- Free vibrations in a domain encased in a cavity -- Sustained vibrations -- Interface problem between a dielectric and a Lorentz material -- Comments -- Dimensionally reduced models: derivation and analyses -- Two-and-a-half dimensional (2 1/2 2D) models -- Two-dimensional (2D) models -- Some results of functional analysis -- Existence and uniqueness results (2D problems) -- Analyses of coupled models -- The Vlasov-Maxwell and Vlasov-Poisson systems -- Magnetohydrodynamics -- References -- Index of function spaces -- Basic Spaces -- Electromagnetic spaces -- Dimension reduction and weighted spaces -- Spaces measuring time regularity -- List of Figures -- Index.

بدون عنوان

0

متن يادداشت

This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well-posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell's equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations. The book addresses mainly researchers in applied mathematics who work on Maxwell's equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.

منبع سفارش / آدرس اشتراک

00024965

شماره انبار

9783319708416

شماره استاندارد بين المللي کتاب و موسيقي

9783319708416

موضوع مستند نشده

Electromagnetism-- Data processing.

موضوع مستند نشده

Electromagnetism-- Mathematical models.

موضوع مستند نشده

Electromagnetism-- Mathematics.

موضوع مستند نشده

Functional analysis & transforms.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Mathematical modelling.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Maths for engineers.

موضوع مستند نشده

Optical physics.

موضوع مستند نشده

Physics.

موضوع مستند نشده

Plasma (Ionized gases)

موضوع مستند نشده

Plasma physics.

موضوع مستند نشده

SCIENCE-- Physics-- Electricity.

موضوع مستند نشده

SCIENCE-- Physics-- Electromagnetism.

موضوع مستند نشده

PBWH

موضوع مستند نشده

PBWH

موضوع مستند نشده

SCI-- 021000

موضوع مستند نشده

SCI-- 022000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Assous, Franck

مستند نام اشخاص تاييد نشده

Ciarlet, Patrick

مستند نام اشخاص تاييد نشده

Labrunie, Simon

تاريخ عمليات

20200823103048.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y