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Numerical Computation of Electric and Magnetic Fields [electronic resource] / by Charles W. Steele.

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This book presents engineers and scientists with all of the information they need to calculate electric and magnetic fields with a digital computer. It is a cookbook for quick field calculation, mixing mathematics, numerical analysis, and electromagnetic theory to create an easy-to-use, practical gu...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Steele, Charles W.
Format: Electronic eBook
Language:English
Published: Boston, MA : Springer US, 1997.
Edition:2nd edition.
Subjects:
Engineering.
Computer engineering.
Computer organization.
Table of Contents:
  • 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
  • 6.4 Sample 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 Scalar Potential from Green's Theorem.

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