Integral methods in low-frequency electromagnetics / / Pavel Solin, Ivo Dolezel, Pavel Karban |
Autore | Solin Pavel |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2009 |
Descrizione fisica | 1 online resource (418 p.) |
Disciplina |
537
621.3 |
Altri autori (Persone) |
DolezelIvo
KarbanP <1979-> (Pavel) |
Soggetto topico |
ELF electromagnetic fields - Mathematical models
Integrals |
ISBN |
1-282-25940-7
9786612259401 0-470-50273-8 0-470-50272-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Integral Methods in Low-Frequency Electromagnetics; Contents; List of Figures; List of Tables; Preface; Acknowledgments; 1 Electromagnetic Fields and their Basic Characteristics; 1.1 Fundamentals; 1.1.1 Maxwell's equations in integral form; 1.1.2 Maxwell's equations in differential form; 1.1.3 Constitutive relations and equation of continuity; 1.1.4 Media and their characteristics; 1.1.5 Conductors; 1.1.6 Dielectrics; 1.1.7 Magnetic materials; 1.1.8 Conditions on interfaces; 1.2 Potentials; 1.2.1 Scalar electric potential; 1.2.2 Magnetic vector potential; 1.2.3 Magnetic scalar potential
1.3 Mathematical models of electromagnetic fields 1.3.1 Static electric field; 1.3.2 Static magnetic field; 1.3.3 Quasistationary electromagnetic field; 1.3.4 General electromagnetic field; 1.4 Energy and forces in electromagnetic fields; 1.4.1 Energy of electric field; 1.4.2 Energy of magnetic field; 1.4.3 Forces in electric field; 1.4.4 Forces in magnetic field; 1.5 Power balance in electromagnetic fields; 1.5.1 Energy in electromagnetic field and its transformation; 1.5.2 Balance of power in linear electromagnetic field; 2 Overview of Solution Methods 2.1 Continuous models in electromagnetism 2.1.1 Differential models; 2.1.2 Integral and integrodifferential models; 2.2 Methods of solution of the continuous models; 2.2.1 Analytical methods; 2.2.2 Numerical methods; 2.2.3 Methods based on the stochastic approach; 2.2.4 Specific methods; 2.3 Classification of the analytical methods; 2.3.1 Methods built on the basic laws of electromagnetics; 2.3.2 Methods based on various transforms; 2.3.3 Direct solution of the field equations; 2.4 Numerical methods and their classification; 2.5 Differential methods; 2.5.1 Difference methods 2.5.2 Weighted residual methods 2.5.3 Variational and other related methods; 2.6 Finite element method; 2.6.1 Discretization of the definition area and selection of the approximate functions; 2.6.2 Computation of the functional and its extremization; 2.6.3 Further prospectives; 2.7 Integral and integrodifferential methods; 2.8 Important mathematical aspects of numerical methods; 2.8.1 Stability; 2.8.2 Convergence; 2.8.3 Accuracy; 2.9 Numerical schemes for parabolic equations; 2.9.1 Explicit scheme; 2.9.2 Implicit scheme; 3 Solution of Electromagnetic Fields by Integral Expressions 3.1 Introduction 3.2 1D integration area; 3.2.1 Review of typical problems; 3.2.2 Electric field generated by a solitary filamentary conductor of infinite length; 3.2.3 Electric field of charged thin circular ring; 3.2.4 Magnetic field generated by a solitary filamentary conductor of infinite length; 3.2.5 Magnetic field of thin circular current carrying loop; 3.2.6 Electric field generated by a system of uniformly charged parallel thin filaments of infinite length; 3.2.7 Magnetic field generated by a system of currents carrying parallel filamentary conductors of infinite length 3.3 2D integration area |
Record Nr. | UNINA-9910808042003321 |
Solin Pavel | ||
Hoboken, NJ, : Wiley, c2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Integral methods in low-frequency electromagnetics [[electronic resource] /] / Pavel Solin, Ivo Dolezel, Pavel Karban |
Autore | Šolin Pavel |
Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2009 |
Descrizione fisica | 1 online resource (418 p.) |
Disciplina |
537
621.3 |
Altri autori (Persone) |
DoleželIvo
KarbanP <1979-> (Pavel) |
Soggetto topico |
ELF electromagnetic fields - Mathematical models
Integrals |
ISBN |
1-282-25940-7
9786612259401 0-470-50273-8 0-470-50272-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Integral Methods in Low-Frequency Electromagnetics; Contents; List of Figures; List of Tables; Preface; Acknowledgments; 1 Electromagnetic Fields and their Basic Characteristics; 1.1 Fundamentals; 1.1.1 Maxwell's equations in integral form; 1.1.2 Maxwell's equations in differential form; 1.1.3 Constitutive relations and equation of continuity; 1.1.4 Media and their characteristics; 1.1.5 Conductors; 1.1.6 Dielectrics; 1.1.7 Magnetic materials; 1.1.8 Conditions on interfaces; 1.2 Potentials; 1.2.1 Scalar electric potential; 1.2.2 Magnetic vector potential; 1.2.3 Magnetic scalar potential
1.3 Mathematical models of electromagnetic fields 1.3.1 Static electric field; 1.3.2 Static magnetic field; 1.3.3 Quasistationary electromagnetic field; 1.3.4 General electromagnetic field; 1.4 Energy and forces in electromagnetic fields; 1.4.1 Energy of electric field; 1.4.2 Energy of magnetic field; 1.4.3 Forces in electric field; 1.4.4 Forces in magnetic field; 1.5 Power balance in electromagnetic fields; 1.5.1 Energy in electromagnetic field and its transformation; 1.5.2 Balance of power in linear electromagnetic field; 2 Overview of Solution Methods 2.1 Continuous models in electromagnetism 2.1.1 Differential models; 2.1.2 Integral and integrodifferential models; 2.2 Methods of solution of the continuous models; 2.2.1 Analytical methods; 2.2.2 Numerical methods; 2.2.3 Methods based on the stochastic approach; 2.2.4 Specific methods; 2.3 Classification of the analytical methods; 2.3.1 Methods built on the basic laws of electromagnetics; 2.3.2 Methods based on various transforms; 2.3.3 Direct solution of the field equations; 2.4 Numerical methods and their classification; 2.5 Differential methods; 2.5.1 Difference methods 2.5.2 Weighted residual methods 2.5.3 Variational and other related methods; 2.6 Finite element method; 2.6.1 Discretization of the definition area and selection of the approximate functions; 2.6.2 Computation of the functional and its extremization; 2.6.3 Further prospectives; 2.7 Integral and integrodifferential methods; 2.8 Important mathematical aspects of numerical methods; 2.8.1 Stability; 2.8.2 Convergence; 2.8.3 Accuracy; 2.9 Numerical schemes for parabolic equations; 2.9.1 Explicit scheme; 2.9.2 Implicit scheme; 3 Solution of Electromagnetic Fields by Integral Expressions 3.1 Introduction 3.2 1D integration area; 3.2.1 Review of typical problems; 3.2.2 Electric field generated by a solitary filamentary conductor of infinite length; 3.2.3 Electric field of charged thin circular ring; 3.2.4 Magnetic field generated by a solitary filamentary conductor of infinite length; 3.2.5 Magnetic field of thin circular current carrying loop; 3.2.6 Electric field generated by a system of uniformly charged parallel thin filaments of infinite length; 3.2.7 Magnetic field generated by a system of currents carrying parallel filamentary conductors of infinite length 3.3 2D integration area |
Record Nr. | UNINA-9910139914903321 |
Šolin Pavel | ||
Hoboken, NJ, : Wiley, c2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Low-frequency electromagnetic modeling for electrical and biological systems using MATLAB / / Sergey N. Makarov, Gregory M. Noetscher, Ara Nazarian |
Autore | Makarov Sergey N. |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2016 |
Descrizione fisica | 1 online resource (619 p.) |
Disciplina | 621.382/24028553 |
Soggetto topico |
ELF electromagnetic fields - Mathematical models
Electromagnetic devices - Computer simulation Electromagnetism - Computer simulation Bioelectromagnetism - Computer simulation |
Soggetto genere / forma | Electronic books. |
ISBN | 1-119-05246-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Title Page; Copyright Page; Contents; Preface; Acknowledgments; About the Companion Website; Part I Low-Frequency Electromagnetics. Computational Meshes. Computational Phantoms; Chapter 1 Classification of Low-Frequency Electromagnetic Problems. Poisson and Laplace Equations in Integral Form; INTRODUCTION; 1.1 CLASSIFICATION OF LOW-FREQUENCY ELECTROMAGNETIC PROBLEMS; PROBLEMS; 1.2 POISSON AND LAPLACE EQUATIONS, BOUNDARY CONDITIONS, AND INTEGRAL EQUATIONS; PROBLEMS; REFERENCES; Chapter 2 Triangular Surface Mesh Generation and Mesh Operations; INTRODUCTION; 2.1 TRIANGULAR MESH AND ITS QUALITY
PROBLEMS2.2 DELAUNAY TRIANGULATION. 3D VOLUME AND SURFACE MESHES; PROBLEMS; 2.3 MESH OPERATIONS AND TRANSFORMATIONS; PROBLEMS; 2.4 ADAPTIVE MESH REFINEMENT AND MESH DECIMATION; 2.5 SUMMARY OF MATLAB® SCRIPTS; PROBLEMS; REFERENCES; Chapter 3 Triangular Surface Human Body Meshes for Computational Purposes; INTRODUCTION; 3.1 REVIEW OF AVAILABLE COMPUTATIONAL HUMAN BODY PHANTOMS AND DATASETS; 3.2 TRIANGULAR HUMAN BODY SHELL MESHES INCLUDED WITH THE TEXT; PROBLEMS; 3.3 VHP-F WHOLE-BODY MODEL INCLUDED WITH THE TEXT; PROBLEMS; REFERENCES Part II Electrostatics of Conductors and Dielectrics. Direct Current FlowChapter 4 Electrostatics of Conductors. Fundamentals of the Methodof Moments. Adaptive Mesh Refinement; INTRODUCTION; 4.1 ELECTROSTATICS OF CONDUCTORS. MoM (SURFACE CHARGE FORMULATION); PROBLEMS; 4.2 GAUSSIAN QUADRATURES. POTENTIAL INTEGRALS. ADAPTIVE MESH REFINEMENT; PROBLEMS; 4.3 SUMMARY OF MATLAB® MODULES; REFERENCES; Chapter 5 Theory and Computation of Capacitance. ConductingObjects in External Electric Field; INTRODUCTION; 5.1 CAPACITANCE DEFINITIONS: SELF-CAPACITANCE; PROBLEMS 5.2 CAPACITANCE OF TWO CONDUCTING OBJECTSPROBLEMS; 5.3 SYSTEMS OF THREE CONDUCTING OBJECTS; PROBLEMS; 5.4 ISOLATED CONDUCTING OBJECT IN AN EXTERNAL ELECTRIC FIELD; PROBLEMS; 5.5 SUMMARY OF MATLAB® MODULES; REFERENCES; Chapter 6 Electrostatics of Dielectrics and Conductors; INTRODUCTION; 6.1 DIELECTRIC OBJECT IN AN EXTERNAL ELECTRIC FIELD; PROBLEMS; 6.2 COMBINED METAL-DIELECTRIC STRUCTURES; PROBLEMS; 6.3 APPLICATION EXAMPLE: MODELING CHARGES IN CAPACITIVE TOUCHSCREENS; PROBLEMS; 6.4 SUMMARY OF MATLAB® MODULES; REFERENCES Chapter 7 Transmission Lines: Two-Dimensional Version of theMethod of MomentsINTRODUCTION; 7.1 TRANSMISSION LINES: VALUE OF THE ELECTROSTATIC MODEL-ANALYTICAL SOLUTIONS; PROBLEMS; 7.2 THE 2D VERSION OF THE MOM FOR TRANSMISSION LINES; PROBLEMS; 7.3 SUMMARY OF MATLAB® MODULES; REFERENCES; Chapter 8 Steady-State Current Flow; INTRODUCTION; 8.1 BOUNDARY CONDITIONS. INTEGRAL EQUATION. VOLTAGE AND CURRENT ELECTRODES; PROBLEMS; 8.2 ANALYTICAL SOLUTIONS FOR DC FLOW IN VOLUMETRIC CONDUCTING OBJECTS; PROBLEMS; 8.3 MoM ALGORITHM FOR DC FLOW. CONSTRUCTION OF ELECTRODE MESH; PROBLEMS 8.4 APPLICATION EXAMPLE: EIT |
Record Nr. | UNINA-9910464036003321 |
Makarov Sergey N. | ||
Hoboken, New Jersey : , : Wiley, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Low-frequency electromagnetic modeling for electrical and biological systems using MATLAB / / Sergey N. Makarov, Gregory M. Noetscher, Ara Nazarian |
Autore | Makarov Sergey N. |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2016 |
Descrizione fisica | 1 online resource (790 pages) : illustrations (some color), tables |
Disciplina | 621.382/24028553 |
Soggetto topico |
Bioelectromagnetism - Computer simulation
Electromagnetic devices - Computer simulation Electromagnetism - Computer simulation ELF electromagnetic fields - Mathematical models |
ISBN | 1-119-05246-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910795946203321 |
Makarov Sergey N. | ||
Hoboken, New Jersey : , : Wiley, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Low-frequency electromagnetic modeling for electrical and biological systems using MATLAB / / Sergey N. Makarov, Gregory M. Noetscher, Ara Nazarian |
Autore | Makarov Sergey N. |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2016 |
Descrizione fisica | 1 online resource (790 pages) : illustrations (some color), tables |
Disciplina | 621.382/24028553 |
Soggetto topico |
Bioelectromagnetism - Computer simulation
Electromagnetic devices - Computer simulation Electromagnetism - Computer simulation ELF electromagnetic fields - Mathematical models |
ISBN | 1-119-05246-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910809137103321 |
Makarov Sergey N. | ||
Hoboken, New Jersey : , : Wiley, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|