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Analysis of electromagnetic fields and waves [[electronic resource] ] : the method of lines / / Reinhold Pregla ; with the assistance of Stefan Helfert
| Analysis of electromagnetic fields and waves [[electronic resource] ] : the method of lines / / Reinhold Pregla ; with the assistance of Stefan Helfert |
| Autore | Pregla Reinhold |
| Pubbl/distr/stampa | Chichester, England ; ; Hoboken, NJ, : J. Wiley & Sons/Research Studies Press, c2008 |
| Descrizione fisica | 1 online resource (523 p.) |
| Disciplina |
530.14/1
530.141 |
| Altri autori (Persone) | HelfertStefan |
| Collana | RSP |
| Soggetto topico |
Electromagnetic devices - Mathematical models
Electromagnetism - Mathematics Differential equations, Partial - Numerical solutions |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-34623-7
9786612346231 0-470-05850-1 0-470-05851-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Analysis of Electromagnetic Fields and Waves; Contents; D EQUIVALENT CIRCUITS FOR DISCONTINUITIES; Preface; 1 THE METHOD OF LINES; 1.1 INTRODUCTION; 1.2 MOL: FUNDAMENTALS OF DISCRETISATION; 1.2.1 Qualitative description; 1.2.2 Quantitative description of the discretisation; 1.2.3 Numerical example; 2 BASIC PRINCIPLES OF THE METHOD OF LINES; 2.1 INTRODUCTION; 2.2 BASIC EQUATIONS; 2.2.1 Anisotropicmaterial parameters; 2.2.2 Relations between transversal electric and magnetic fields - generalised transmission line (GTL) equations; 2.2.3 Relation to the analysis with vector potentials
2.2.4 GTL equations for 2D structures2.2.5 Solution of the GTL equations; 2.2.6 Numerical examples; 2.3 EIGENMODES IN PLANAR WAVEGUIDE STRUCTURES WITH ANISOTROPIC LAYERS; 2.3.1 Introduction; 2.3.2 Analysis equations for eigenmodes in planar structures; 2.3.3 Examples of system equations; 2.3.4 Impedance/admittance transformation in multilayered structures; 2.3.5 System equation in transformed domain; 2.3.6 System equation in spatial domain; 2.3.7 Matrix partition technique: two examples; 2.3.8 Numerical results; 2.4 ANALYSIS OF PLANAR CIRCUITS 2.4.1 Discretisation of the transmission line equations2.4.2 Determination of the field components; 2.5 FIELD AND IMPEDANCE/ADMITTANCE TRANSFORMATION; 2.5.1 Introduction; 2.5.2 Impedance/admittance transformation in multilayered and multisectioned structures; 2.5.3 Impedance/admittance transformation with finite differences; 2.5.4 Stable field transformation through layers and sections; 3 ANALYSIS OF RECTANGULAR WAVEGUIDE CIRCUITS; 3.1 INTRODUCTION; 3.2 CONCATENATIONS OF WAVEGUIDE SECTIONS; 3.2.1 LSM and LSE modes in circular waveguide bends; 3.2.2 LSM and LSE modes in straight waveguides 3.2.3 Impedance transformation at waveguide interfaces3.2.4 Numerical results for concatenations; 3.2.5 Numerical results for waveguide filters; 3.3 WAVEGUIDE JUNCTIONS; 3.3.1 E-plane junctions; 3.3.2 H-plane junctions; 3.3.3 Algorithm for generalised scattering parameters; 3.3.4 Special junctions: E-plane 3-port junction; 3.3.5 Matched E-plane bend; 3.3.6 Analysis of waveguide bend discontinuities; 3.3.7 Scattering parameters; 3.3.8 Numerical results; 3.4 ANALYSIS OF 3D WAVEGUIDE JUNCTIONS; 3.4.1 General description; 3.4.2 Basic equations 3.4.3 Discretisation scheme for propagation between A and B3.4.4 Discontinuities; 3.4.5 Coupling to other ports; 3.4.6 Impedance/admittance transformation; 3.4.7 Numerical results; 4 ANALYSIS OF WAVEGUIDE STRUCTURES IN CYLINDRICAL COORDINATES; 4.1 INTRODUCTION; 4.2 GENERALISED TRANSMISSION LINE (GTL) EQUATIONS; 4.2.1 Material parameters in a cylindrical coordinate system; 4.2.2 GTL equations for z-direction; 4.2.3 GTL equations for φ-direction; 4.2.4 Analysis of circular (coaxial) waveguides with azimuthally-magnetised ferrites and azimuthallymagnetised solid plasma 4.2.5 GTL equations for r-direction |
| Record Nr. | UNINA-9910144431903321 |
Pregla Reinhold
|
||
| Chichester, England ; ; Hoboken, NJ, : J. Wiley & Sons/Research Studies Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis of electromagnetic fields and waves [[electronic resource] ] : the method of lines / / Reinhold Pregla ; with the assistance of Stefan Helfert
| Analysis of electromagnetic fields and waves [[electronic resource] ] : the method of lines / / Reinhold Pregla ; with the assistance of Stefan Helfert |
| Autore | Pregla Reinhold |
| Pubbl/distr/stampa | Chichester, England ; ; Hoboken, NJ, : J. Wiley & Sons/Research Studies Press, c2008 |
| Descrizione fisica | 1 online resource (523 p.) |
| Disciplina |
530.14/1
530.141 |
| Altri autori (Persone) | HelfertStefan |
| Collana | RSP |
| Soggetto topico |
Electromagnetic devices - Mathematical models
Electromagnetism - Mathematics Differential equations, Partial - Numerical solutions |
| ISBN |
1-282-34623-7
9786612346231 0-470-05850-1 0-470-05851-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Analysis of Electromagnetic Fields and Waves; Contents; D EQUIVALENT CIRCUITS FOR DISCONTINUITIES; Preface; 1 THE METHOD OF LINES; 1.1 INTRODUCTION; 1.2 MOL: FUNDAMENTALS OF DISCRETISATION; 1.2.1 Qualitative description; 1.2.2 Quantitative description of the discretisation; 1.2.3 Numerical example; 2 BASIC PRINCIPLES OF THE METHOD OF LINES; 2.1 INTRODUCTION; 2.2 BASIC EQUATIONS; 2.2.1 Anisotropicmaterial parameters; 2.2.2 Relations between transversal electric and magnetic fields - generalised transmission line (GTL) equations; 2.2.3 Relation to the analysis with vector potentials
2.2.4 GTL equations for 2D structures2.2.5 Solution of the GTL equations; 2.2.6 Numerical examples; 2.3 EIGENMODES IN PLANAR WAVEGUIDE STRUCTURES WITH ANISOTROPIC LAYERS; 2.3.1 Introduction; 2.3.2 Analysis equations for eigenmodes in planar structures; 2.3.3 Examples of system equations; 2.3.4 Impedance/admittance transformation in multilayered structures; 2.3.5 System equation in transformed domain; 2.3.6 System equation in spatial domain; 2.3.7 Matrix partition technique: two examples; 2.3.8 Numerical results; 2.4 ANALYSIS OF PLANAR CIRCUITS 2.4.1 Discretisation of the transmission line equations2.4.2 Determination of the field components; 2.5 FIELD AND IMPEDANCE/ADMITTANCE TRANSFORMATION; 2.5.1 Introduction; 2.5.2 Impedance/admittance transformation in multilayered and multisectioned structures; 2.5.3 Impedance/admittance transformation with finite differences; 2.5.4 Stable field transformation through layers and sections; 3 ANALYSIS OF RECTANGULAR WAVEGUIDE CIRCUITS; 3.1 INTRODUCTION; 3.2 CONCATENATIONS OF WAVEGUIDE SECTIONS; 3.2.1 LSM and LSE modes in circular waveguide bends; 3.2.2 LSM and LSE modes in straight waveguides 3.2.3 Impedance transformation at waveguide interfaces3.2.4 Numerical results for concatenations; 3.2.5 Numerical results for waveguide filters; 3.3 WAVEGUIDE JUNCTIONS; 3.3.1 E-plane junctions; 3.3.2 H-plane junctions; 3.3.3 Algorithm for generalised scattering parameters; 3.3.4 Special junctions: E-plane 3-port junction; 3.3.5 Matched E-plane bend; 3.3.6 Analysis of waveguide bend discontinuities; 3.3.7 Scattering parameters; 3.3.8 Numerical results; 3.4 ANALYSIS OF 3D WAVEGUIDE JUNCTIONS; 3.4.1 General description; 3.4.2 Basic equations 3.4.3 Discretisation scheme for propagation between A and B3.4.4 Discontinuities; 3.4.5 Coupling to other ports; 3.4.6 Impedance/admittance transformation; 3.4.7 Numerical results; 4 ANALYSIS OF WAVEGUIDE STRUCTURES IN CYLINDRICAL COORDINATES; 4.1 INTRODUCTION; 4.2 GENERALISED TRANSMISSION LINE (GTL) EQUATIONS; 4.2.1 Material parameters in a cylindrical coordinate system; 4.2.2 GTL equations for z-direction; 4.2.3 GTL equations for φ-direction; 4.2.4 Analysis of circular (coaxial) waveguides with azimuthally-magnetised ferrites and azimuthallymagnetised solid plasma 4.2.5 GTL equations for r-direction |
| Record Nr. | UNISA-996212468103316 |
|
Pregla Reinhold
|
||
| Chichester, England ; ; Hoboken, NJ, : J. Wiley & Sons/Research Studies Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Analysis of electromagnetic fields and waves [[electronic resource] ] : the method of lines / / Reinhold Pregla ; with the assistance of Stefan Helfert
| Analysis of electromagnetic fields and waves [[electronic resource] ] : the method of lines / / Reinhold Pregla ; with the assistance of Stefan Helfert |
| Autore | Pregla Reinhold |
| Pubbl/distr/stampa | Chichester, England ; ; Hoboken, NJ, : J. Wiley & Sons/Research Studies Press, c2008 |
| Descrizione fisica | 1 online resource (523 p.) |
| Disciplina |
530.14/1
530.141 |
| Altri autori (Persone) | HelfertStefan |
| Collana | RSP |
| Soggetto topico |
Electromagnetic devices - Mathematical models
Electromagnetism - Mathematics Differential equations, Partial - Numerical solutions |
| ISBN |
1-282-34623-7
9786612346231 0-470-05850-1 0-470-05851-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Analysis of Electromagnetic Fields and Waves; Contents; D EQUIVALENT CIRCUITS FOR DISCONTINUITIES; Preface; 1 THE METHOD OF LINES; 1.1 INTRODUCTION; 1.2 MOL: FUNDAMENTALS OF DISCRETISATION; 1.2.1 Qualitative description; 1.2.2 Quantitative description of the discretisation; 1.2.3 Numerical example; 2 BASIC PRINCIPLES OF THE METHOD OF LINES; 2.1 INTRODUCTION; 2.2 BASIC EQUATIONS; 2.2.1 Anisotropicmaterial parameters; 2.2.2 Relations between transversal electric and magnetic fields - generalised transmission line (GTL) equations; 2.2.3 Relation to the analysis with vector potentials
2.2.4 GTL equations for 2D structures2.2.5 Solution of the GTL equations; 2.2.6 Numerical examples; 2.3 EIGENMODES IN PLANAR WAVEGUIDE STRUCTURES WITH ANISOTROPIC LAYERS; 2.3.1 Introduction; 2.3.2 Analysis equations for eigenmodes in planar structures; 2.3.3 Examples of system equations; 2.3.4 Impedance/admittance transformation in multilayered structures; 2.3.5 System equation in transformed domain; 2.3.6 System equation in spatial domain; 2.3.7 Matrix partition technique: two examples; 2.3.8 Numerical results; 2.4 ANALYSIS OF PLANAR CIRCUITS 2.4.1 Discretisation of the transmission line equations2.4.2 Determination of the field components; 2.5 FIELD AND IMPEDANCE/ADMITTANCE TRANSFORMATION; 2.5.1 Introduction; 2.5.2 Impedance/admittance transformation in multilayered and multisectioned structures; 2.5.3 Impedance/admittance transformation with finite differences; 2.5.4 Stable field transformation through layers and sections; 3 ANALYSIS OF RECTANGULAR WAVEGUIDE CIRCUITS; 3.1 INTRODUCTION; 3.2 CONCATENATIONS OF WAVEGUIDE SECTIONS; 3.2.1 LSM and LSE modes in circular waveguide bends; 3.2.2 LSM and LSE modes in straight waveguides 3.2.3 Impedance transformation at waveguide interfaces3.2.4 Numerical results for concatenations; 3.2.5 Numerical results for waveguide filters; 3.3 WAVEGUIDE JUNCTIONS; 3.3.1 E-plane junctions; 3.3.2 H-plane junctions; 3.3.3 Algorithm for generalised scattering parameters; 3.3.4 Special junctions: E-plane 3-port junction; 3.3.5 Matched E-plane bend; 3.3.6 Analysis of waveguide bend discontinuities; 3.3.7 Scattering parameters; 3.3.8 Numerical results; 3.4 ANALYSIS OF 3D WAVEGUIDE JUNCTIONS; 3.4.1 General description; 3.4.2 Basic equations 3.4.3 Discretisation scheme for propagation between A and B3.4.4 Discontinuities; 3.4.5 Coupling to other ports; 3.4.6 Impedance/admittance transformation; 3.4.7 Numerical results; 4 ANALYSIS OF WAVEGUIDE STRUCTURES IN CYLINDRICAL COORDINATES; 4.1 INTRODUCTION; 4.2 GENERALISED TRANSMISSION LINE (GTL) EQUATIONS; 4.2.1 Material parameters in a cylindrical coordinate system; 4.2.2 GTL equations for z-direction; 4.2.3 GTL equations for φ-direction; 4.2.4 Analysis of circular (coaxial) waveguides with azimuthally-magnetised ferrites and azimuthallymagnetised solid plasma 4.2.5 GTL equations for r-direction |
| Record Nr. | UNINA-9910830905503321 |
|
Pregla Reinhold
|
||
| Chichester, England ; ; Hoboken, NJ, : J. Wiley & Sons/Research Studies Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis of electromagnetic fields and waves [[electronic resource] ] : the method of lines / / Reinhold Pregla ; with the assistance of Stefan Helfert
| Analysis of electromagnetic fields and waves [[electronic resource] ] : the method of lines / / Reinhold Pregla ; with the assistance of Stefan Helfert |
| Autore | Pregla Reinhold |
| Pubbl/distr/stampa | Chichester, England ; ; Hoboken, NJ, : J. Wiley & Sons/Research Studies Press, c2008 |
| Descrizione fisica | 1 online resource (523 p.) |
| Disciplina |
530.14/1
530.141 |
| Altri autori (Persone) | HelfertStefan |
| Collana | RSP |
| Soggetto topico |
Electromagnetic devices - Mathematical models
Electromagnetism - Mathematics Differential equations, Partial - Numerical solutions |
| ISBN |
1-282-34623-7
9786612346231 0-470-05850-1 0-470-05851-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Analysis of Electromagnetic Fields and Waves; Contents; D EQUIVALENT CIRCUITS FOR DISCONTINUITIES; Preface; 1 THE METHOD OF LINES; 1.1 INTRODUCTION; 1.2 MOL: FUNDAMENTALS OF DISCRETISATION; 1.2.1 Qualitative description; 1.2.2 Quantitative description of the discretisation; 1.2.3 Numerical example; 2 BASIC PRINCIPLES OF THE METHOD OF LINES; 2.1 INTRODUCTION; 2.2 BASIC EQUATIONS; 2.2.1 Anisotropicmaterial parameters; 2.2.2 Relations between transversal electric and magnetic fields - generalised transmission line (GTL) equations; 2.2.3 Relation to the analysis with vector potentials
2.2.4 GTL equations for 2D structures2.2.5 Solution of the GTL equations; 2.2.6 Numerical examples; 2.3 EIGENMODES IN PLANAR WAVEGUIDE STRUCTURES WITH ANISOTROPIC LAYERS; 2.3.1 Introduction; 2.3.2 Analysis equations for eigenmodes in planar structures; 2.3.3 Examples of system equations; 2.3.4 Impedance/admittance transformation in multilayered structures; 2.3.5 System equation in transformed domain; 2.3.6 System equation in spatial domain; 2.3.7 Matrix partition technique: two examples; 2.3.8 Numerical results; 2.4 ANALYSIS OF PLANAR CIRCUITS 2.4.1 Discretisation of the transmission line equations2.4.2 Determination of the field components; 2.5 FIELD AND IMPEDANCE/ADMITTANCE TRANSFORMATION; 2.5.1 Introduction; 2.5.2 Impedance/admittance transformation in multilayered and multisectioned structures; 2.5.3 Impedance/admittance transformation with finite differences; 2.5.4 Stable field transformation through layers and sections; 3 ANALYSIS OF RECTANGULAR WAVEGUIDE CIRCUITS; 3.1 INTRODUCTION; 3.2 CONCATENATIONS OF WAVEGUIDE SECTIONS; 3.2.1 LSM and LSE modes in circular waveguide bends; 3.2.2 LSM and LSE modes in straight waveguides 3.2.3 Impedance transformation at waveguide interfaces3.2.4 Numerical results for concatenations; 3.2.5 Numerical results for waveguide filters; 3.3 WAVEGUIDE JUNCTIONS; 3.3.1 E-plane junctions; 3.3.2 H-plane junctions; 3.3.3 Algorithm for generalised scattering parameters; 3.3.4 Special junctions: E-plane 3-port junction; 3.3.5 Matched E-plane bend; 3.3.6 Analysis of waveguide bend discontinuities; 3.3.7 Scattering parameters; 3.3.8 Numerical results; 3.4 ANALYSIS OF 3D WAVEGUIDE JUNCTIONS; 3.4.1 General description; 3.4.2 Basic equations 3.4.3 Discretisation scheme for propagation between A and B3.4.4 Discontinuities; 3.4.5 Coupling to other ports; 3.4.6 Impedance/admittance transformation; 3.4.7 Numerical results; 4 ANALYSIS OF WAVEGUIDE STRUCTURES IN CYLINDRICAL COORDINATES; 4.1 INTRODUCTION; 4.2 GENERALISED TRANSMISSION LINE (GTL) EQUATIONS; 4.2.1 Material parameters in a cylindrical coordinate system; 4.2.2 GTL equations for z-direction; 4.2.3 GTL equations for φ-direction; 4.2.4 Analysis of circular (coaxial) waveguides with azimuthally-magnetised ferrites and azimuthallymagnetised solid plasma 4.2.5 GTL equations for r-direction |
| Record Nr. | UNINA-9910841495803321 |
|
Pregla Reinhold
|
||
| Chichester, England ; ; Hoboken, NJ, : J. Wiley & Sons/Research Studies Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Engineering electromagnetics / / Nathan Ida
| Engineering electromagnetics / / Nathan Ida |
| Autore | Ida Nathan |
| Edizione | [Fourth edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XXVI, 1028 p. 866 illus., 4 illus. in color.) |
| Disciplina | 530.141 |
| Soggetto topico |
Electromagnetic devices - Mathematical models
Electromagnetism - Mathematics |
| ISBN | 3-030-15557-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Vector Algebra -- Vector Calculus -- Coulomb’s Law and the Electric Field -- Gauss’s Law and the Electric Potential -- Boundary Value Problems: Analytic Methods of Solution -- Boundary Value Problems -- The Steady Electric Current -- The Static Magnetic Field -- Magnetic Materials and Properties -- Faraday’s Law and Induction -- Maxwell’s Equations -- Electromagnetic Waves and Propagation -- Reflection and Transmission of Plane Waves -- Theory of Transmission Lines -- The Smith Chart, Impedance Matching, and Transmission Line Circuits -- Transients on Transmission Lines -- Waveguides and Resonators -- Antennas and Electromagnetic Radiation -- Conclusion. |
| Record Nr. | UNINA-9910484239003321 |
|
Ida Nathan
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for electromagnetic modeling [[electronic resource] /] / edited by Gerard Meunier
| The finite element method for electromagnetic modeling [[electronic resource] /] / edited by Gerard Meunier |
| Pubbl/distr/stampa | London, : ISTE |
| Descrizione fisica | 1 online resource (618 p.) |
| Disciplina |
621.301/51825
621.30151825 |
| Altri autori (Persone) | MeunierGerard |
| Collana | ISTE |
| Soggetto topico |
Electromagnetic devices - Mathematical models
Electromagnetism - Mathematical models Engineering mathematics Finite element method |
| ISBN |
1-282-16504-6
9786612165047 0-470-61117-0 0-470-39380-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Finite Element Method for Electromagnetic Modeling; Table of Contents; Chapter 1. Introduction to Nodal Finite Elements; 1.1. Introduction; 1.1.1. The finite element method; 1.2. The 1D finite element method; 1.2.1. A simple electrostatics problem; 1.2.2. Differential approach; 1.2.3. Variational approach; 1.2.4. First-order finite elements; 1.2.5. Second-order finite elements; 1.3. The finite element method in two dimensions; 1.3.1. The problem of the condenser with square section; 1.3.2. Differential approach; 1.3.3. Variational approach
1.3.4. Meshing in first-order triangular finite elements1.3.5. Finite element interpolation; 1.3.6. Construction of the system of equations by the Ritz method; 1.3.7. Calculation of the matrix coefficients; 1.3.8. Analysis of the results; 1.3.9. Dual formations, framing and convergence; 1.3.10. Resolution of the nonlinear problems; 1.3.11. Alternative to the variational method: the weighted residues method; 1.4. The reference elements; 1.4.1. Linear reference elements; 1.4.2. Surface reference elements; 1.4.3. Volume reference elements; 1.4.4. Properties of the shape functions 1.4.5. Transformation from reference coordinates to domain coordinates.1.4.6. Approximation of the physical variable; 1.4.7. Numerical integrations on the reference elements; 1.4.8. Local Jacobian derivative method; 1.5. Conclusion; 1.6. References; Chapter 2. Static Formulations: Electrostatic, Electrokinetic, Magnetostatics; 2.1. Problems to solve; 2.1.1. Maxwell's equations; 2.1.2. Behavior laws of materials; 2.1.3. Boundary conditions; 2.1.4. Complete static models; 2.1.5. The formulations in potentials; 2.2. Function spaces in the fields and weak formulations 2.2.1. Integral expressions: introduction2.2.2. Definitions of function spaces; 2.2.3. Tonti diagram: synthesis scheme of a problem; 2.2.4. Weak formulations; 2.3. Discretization of function spaces and weak formulations; 2.3.1. Finite elements; 2.3.2. Sequence of discrete spaces; 2.3.3. Gauge conditions and source terms in discrete spaces; 2.3.4. Weak discrete formulations; 2.3.5. Expression of global variables; 2.4. References; Chapter 3. Magnetodynamic Formulations; 3.1. Introduction; 3.2. Electric formulations; 3.2.1. Formulation in electric field 3.2.2. Formulation in combined potentials α - Ψ3.2.3. Comparison of the formulations in field and in combined potentials; 3.3. Magnetic formulations; 3.3.1. Formulation in magnetic field; 3.3.2. Formulation in combined potentials t - Φ; 3.3.3. Numerical example; 3.4. Hybrid formulation; 3.5. Electric and magnetic formulation complementarities; 3.5.1. Complementary features; 3.5.2. Concerning the energy bounds; 3.5.3. Numerical example; 3.6. Conclusion; 3.7. References; Chapter 4. Mixed Finite Element Methods in Electromagnetism; 4.1. Introduction; 4.2. Mixed formulations in magnetostatics 4.2.1. Magnetic induction oriented formulation |
| Record Nr. | UNINA-9910139496003321 |
| London, : ISTE | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for electromagnetic modeling [[electronic resource] /] / edited by Gerard Meunier
| The finite element method for electromagnetic modeling [[electronic resource] /] / edited by Gerard Meunier |
| Pubbl/distr/stampa | London, : ISTE |
| Descrizione fisica | 1 online resource (618 p.) |
| Disciplina |
621.301/51825
621.30151825 |
| Altri autori (Persone) | MeunierGerard |
| Collana | ISTE |
| Soggetto topico |
Electromagnetic devices - Mathematical models
Electromagnetism - Mathematical models Engineering mathematics Finite element method |
| ISBN |
1-282-16504-6
9786612165047 0-470-61117-0 0-470-39380-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Finite Element Method for Electromagnetic Modeling; Table of Contents; Chapter 1. Introduction to Nodal Finite Elements; 1.1. Introduction; 1.1.1. The finite element method; 1.2. The 1D finite element method; 1.2.1. A simple electrostatics problem; 1.2.2. Differential approach; 1.2.3. Variational approach; 1.2.4. First-order finite elements; 1.2.5. Second-order finite elements; 1.3. The finite element method in two dimensions; 1.3.1. The problem of the condenser with square section; 1.3.2. Differential approach; 1.3.3. Variational approach
1.3.4. Meshing in first-order triangular finite elements1.3.5. Finite element interpolation; 1.3.6. Construction of the system of equations by the Ritz method; 1.3.7. Calculation of the matrix coefficients; 1.3.8. Analysis of the results; 1.3.9. Dual formations, framing and convergence; 1.3.10. Resolution of the nonlinear problems; 1.3.11. Alternative to the variational method: the weighted residues method; 1.4. The reference elements; 1.4.1. Linear reference elements; 1.4.2. Surface reference elements; 1.4.3. Volume reference elements; 1.4.4. Properties of the shape functions 1.4.5. Transformation from reference coordinates to domain coordinates.1.4.6. Approximation of the physical variable; 1.4.7. Numerical integrations on the reference elements; 1.4.8. Local Jacobian derivative method; 1.5. Conclusion; 1.6. References; Chapter 2. Static Formulations: Electrostatic, Electrokinetic, Magnetostatics; 2.1. Problems to solve; 2.1.1. Maxwell's equations; 2.1.2. Behavior laws of materials; 2.1.3. Boundary conditions; 2.1.4. Complete static models; 2.1.5. The formulations in potentials; 2.2. Function spaces in the fields and weak formulations 2.2.1. Integral expressions: introduction2.2.2. Definitions of function spaces; 2.2.3. Tonti diagram: synthesis scheme of a problem; 2.2.4. Weak formulations; 2.3. Discretization of function spaces and weak formulations; 2.3.1. Finite elements; 2.3.2. Sequence of discrete spaces; 2.3.3. Gauge conditions and source terms in discrete spaces; 2.3.4. Weak discrete formulations; 2.3.5. Expression of global variables; 2.4. References; Chapter 3. Magnetodynamic Formulations; 3.1. Introduction; 3.2. Electric formulations; 3.2.1. Formulation in electric field 3.2.2. Formulation in combined potentials α - Ψ3.2.3. Comparison of the formulations in field and in combined potentials; 3.3. Magnetic formulations; 3.3.1. Formulation in magnetic field; 3.3.2. Formulation in combined potentials t - Φ; 3.3.3. Numerical example; 3.4. Hybrid formulation; 3.5. Electric and magnetic formulation complementarities; 3.5.1. Complementary features; 3.5.2. Concerning the energy bounds; 3.5.3. Numerical example; 3.6. Conclusion; 3.7. References; Chapter 4. Mixed Finite Element Methods in Electromagnetism; 4.1. Introduction; 4.2. Mixed formulations in magnetostatics 4.2.1. Magnetic induction oriented formulation |
| Record Nr. | UNINA-9910830024403321 |
| London, : ISTE | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for electromagnetic modeling [[electronic resource] /] / edited by Gerard Meunier
| The finite element method for electromagnetic modeling [[electronic resource] /] / edited by Gerard Meunier |
| Pubbl/distr/stampa | London, : ISTE |
| Descrizione fisica | 1 online resource (618 p.) |
| Disciplina |
621.301/51825
621.30151825 |
| Altri autori (Persone) | MeunierGerard |
| Collana | ISTE |
| Soggetto topico |
Electromagnetic devices - Mathematical models
Electromagnetism - Mathematical models Engineering mathematics Finite element method |
| ISBN |
1-282-16504-6
9786612165047 0-470-61117-0 0-470-39380-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Finite Element Method for Electromagnetic Modeling; Table of Contents; Chapter 1. Introduction to Nodal Finite Elements; 1.1. Introduction; 1.1.1. The finite element method; 1.2. The 1D finite element method; 1.2.1. A simple electrostatics problem; 1.2.2. Differential approach; 1.2.3. Variational approach; 1.2.4. First-order finite elements; 1.2.5. Second-order finite elements; 1.3. The finite element method in two dimensions; 1.3.1. The problem of the condenser with square section; 1.3.2. Differential approach; 1.3.3. Variational approach
1.3.4. Meshing in first-order triangular finite elements1.3.5. Finite element interpolation; 1.3.6. Construction of the system of equations by the Ritz method; 1.3.7. Calculation of the matrix coefficients; 1.3.8. Analysis of the results; 1.3.9. Dual formations, framing and convergence; 1.3.10. Resolution of the nonlinear problems; 1.3.11. Alternative to the variational method: the weighted residues method; 1.4. The reference elements; 1.4.1. Linear reference elements; 1.4.2. Surface reference elements; 1.4.3. Volume reference elements; 1.4.4. Properties of the shape functions 1.4.5. Transformation from reference coordinates to domain coordinates.1.4.6. Approximation of the physical variable; 1.4.7. Numerical integrations on the reference elements; 1.4.8. Local Jacobian derivative method; 1.5. Conclusion; 1.6. References; Chapter 2. Static Formulations: Electrostatic, Electrokinetic, Magnetostatics; 2.1. Problems to solve; 2.1.1. Maxwell's equations; 2.1.2. Behavior laws of materials; 2.1.3. Boundary conditions; 2.1.4. Complete static models; 2.1.5. The formulations in potentials; 2.2. Function spaces in the fields and weak formulations 2.2.1. Integral expressions: introduction2.2.2. Definitions of function spaces; 2.2.3. Tonti diagram: synthesis scheme of a problem; 2.2.4. Weak formulations; 2.3. Discretization of function spaces and weak formulations; 2.3.1. Finite elements; 2.3.2. Sequence of discrete spaces; 2.3.3. Gauge conditions and source terms in discrete spaces; 2.3.4. Weak discrete formulations; 2.3.5. Expression of global variables; 2.4. References; Chapter 3. Magnetodynamic Formulations; 3.1. Introduction; 3.2. Electric formulations; 3.2.1. Formulation in electric field 3.2.2. Formulation in combined potentials α - Ψ3.2.3. Comparison of the formulations in field and in combined potentials; 3.3. Magnetic formulations; 3.3.1. Formulation in magnetic field; 3.3.2. Formulation in combined potentials t - Φ; 3.3.3. Numerical example; 3.4. Hybrid formulation; 3.5. Electric and magnetic formulation complementarities; 3.5.1. Complementary features; 3.5.2. Concerning the energy bounds; 3.5.3. Numerical example; 3.6. Conclusion; 3.7. References; Chapter 4. Mixed Finite Element Methods in Electromagnetism; 4.1. Introduction; 4.2. Mixed formulations in magnetostatics 4.2.1. Magnetic induction oriented formulation |
| Record Nr. | UNINA-9910841781203321 |
| London, : ISTE | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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