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Numerical Computation of Electric and Magnetic Fields

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

24.10.2012

Verlag

Springer Us

Seitenzahl

260

Maße (L/B/H)

23,5/15,5/1,6 cm

Gewicht

429 g

Auflage

Second Edition 1997

Sprache

Englisch

ISBN

978-1-4613-7766-5

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

24.10.2012

Verlag

Springer Us

Seitenzahl

260

Maße (L/B/H)

23,5/15,5/1,6 cm

Gewicht

429 g

Auflage

Second Edition 1997

Sprache

Englisch

ISBN

978-1-4613-7766-5

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Numerical Computation of Electric and Magnetic Fields
  • Produktbild: Numerical Computation of Electric and Magnetic Fields
  • 1. Introduction.- 2. Field Properties.- 2.1 Introduction.- 2.2 Maxwell’s Equations in the Dynamic, Quasi-Static, and Static Cases.- 2.3 Polarization and Magnetization.- 2.4 Laws for Static Fields in Unbounded Regions.- 2.5 Integral Representations for Quasi-Static Fields Using the Helmholtz Theorem.- 2.6 Equivalent Configurations.- 2.7 Steady-State Dynamic Problems and Phasor Field Representations.- 2.8 Continuity Conditions of Fields at a Medium Discontinuity.- References.- 3. Problem Definition.- 3.1 Introduction.- 3.2 Field Problem Domains, Source Problem Domains, Interior Problems, and Exterior Problems.- 3.3 Is the Problem Static, Quasi-Static, or Dynamic?.- 3.4 What Field Is To Be Computed?.- 3.5 Is the Problem Two-Dimensional or Three-Dimensional?.- 3.6 The Medium.- 3.7 Boundary Conditions and Uniqueness of Solutions.- References.- 4. Linear Spaces in Field Computations.- 4.1 Introduction.- 4.2 Basis Functions.- 4.3 Shape Functions.- 4.4 Finite Elements and Shape Functions of Global Coordinates in Two-Dimensional Problem Domains.- 4.5 Isoparametric Shape Functions in Two Dimensions.- 4.6 Finite Elements and Shape Functions of Global Coordinates in Three-Dimensional Problem Domains.- References.- 5. Projection Methods in Field Computations.- 5.1 Introduction.- 5.2 Special Spaces in Field Computations.- 5.3 Operators in Field Calculations.- 5.4 Approaches Used in Obtaining Approximate Solutions to Field Problems.- 5.5 Finite Element Method for Interior Problems.- 5.6 Integral Equation Method.- 5.7 Projection Methods.- 5.8 Orthogonal Projection Methods.- References.- 6. Finite Element Method for Interior Problems.- 6.1 Introduction.- 6.2 Formulation of Finite Element Method for Interior Problems.- 6.3 Computation of Linear System for Finite Element Method.- 6.4Sample Problem.- References.- 7. Finite Element Method for Exterior Problems.- 7.1 Introduction.- 7.2 McDonald-Wexler Algorithm.- 7.3 Silvester et al. Algorithm.- 7.4 Mapping Algorithms.- References.- 8. Automatic and Adaptive Mesh Generation.- 8.1 Introduction.- 8.2 Preliminary Mesh Generation.- 8.3 Delaunay Tesselation.- 8.4 An Algorithm for Local and Global Error Estimation.- 8.5 Mesh Refinement Algorithm.- References.- 9. Integral Equation Method.- 9.1 Introduction.- 9.2 Linear and Uniform Media in Continuity Subdomains.- 9.3 Saturable, Nonlinear, and Nonuniform Media in Continuity Subdomains.- 9.4 Numerical Solution of Integral Equations—General Approach.- 9.5 Finite Elements and Basis Functions Used in the Integral Equation Method.- 9.6 Integral Equation Numerical Solution by the Collocation Method.- 9.7 Integral Equation Numerical Solution by the Galerkin Method.- 9.8 Numerical Integration.- 9.9 Sample Problem.- References.- 10. Static Magnetic Problem.- 10.1 Introduction.- 10.2 Interior Static Field Problems.- 10.3 Exterior Static Problems Approximated by Interior Problems.- 10.4 Exterior Magnetic Field Static Problem.- 10.5 Static Magnetic Field in a Saturable Medium.- References.- 11. Eddy Current Problem.- 11.1 Introduction.- 11.2 Commonly Used Basic Formulations for the Eddy Current Problem.- 11.3 Two-Dimensional Eddy Current Problem.- 11.4 Three-Dimensional Steady-State Eddy Current Problem.- 11.5 Transient Eddy Current Problem.- References.- Appendix A Derivation of the Helmholtz Theorem.- Appendix B Properties of the Magnetic Vector Potential, A.- Appendix C Proof Regarding Split of Quadrangle into Two Triangles.- Appendix D Derivation of Formulations Used in the Cendes-Shenton Adaptive Mesh Algorithm.- Appendix E Integral Expressions for ScalarPotential from Green's Theorem.