Cover of Numerical Computation of Electric and Magnetic Fields, 2nd ed.

Numerical Computation of Electric and Magnetic Fields, 2nd ed.

Charles W. Steele

(1996) xv + 260 pages

This new edition reports on the advances in the state-of-the-art of field computation since the book's first edition in 1987. The book provides:

List of Contents Field Properties@ Introduction:Maxwell's Equations in the Dynamic, Quasi-Static, and Static Cases:Polarization and Magnetization:Laws for Static Fields in Unbounded Regions:Integral Representations for Quasi-Static Fields Using the Helmholtz Theorem:Equivalent Configurations:Steady-State Dynamic Problems and Phasor Field Representations:Continuity Conditions of Fields at a Medium Discontinuity References:Problem Definition@ Introduction:Field Problem Domains, Source Problem Domains, Interior Problems, and Exterior Problems:Is the Problem Static, Quasi-Static, or Dynamic?:What Field Is To Be Computed?:Is the Problem Two-Dimensional or Three-Dimensional?:The Medium:Boundary Conditions and Uniqueness of Solutions:References:Linear Spaces in Field Computations@ Introduction:Basis Functions:Shape Functions:Finite Elements and Shape Functions of Global Coordinates in Two-Dimensional Problem Domains:Isoparametric Shape Functions in Two Dimensions:Finite Elements and Shape Functions of Global Coordinates in Three-Dimensional Problem Domains:References:Projection Methods in Field Computations@ Introduction:Special Spaces in Field Computations:Operators in Field Calculations:Approaches Used in Obtaining Approximate Solutions to Field Problems:Finite Element Method for Interior Problems:Integral Equation Method:Projection Methods:Orthogonal Projection Methods References:Finite Element Method for Interior Problems@ Introduction:Formulation of Finite Element Method for Interior Problems:Computation of Linear System for Finite Element Method:Sample Problem:References:Finite Element Method for Exterior Problems@ Introduction:McDonald-Wexler Algorithm:Silvester et al. Algorithm:Mapping Algorithms:References:Automatic and Adaptive Mesh Generation@ Introduction:Preliminary Mesh Generation:Delaunay Tesselation:An Algorithm for Local and Global Error Estimation:Mesh Refinement Algorithm References:Integral Equation Method@ Introduction:Linear and Uniform Media in Continuity Subdomains:Saturable, Nonlinear, and Nonuniform Media in Continuity Subdomains:Numerical Solution of Integral Equations General Approach:Finite Elements and Basis Functions Used in the Integral Equation Method:Integral Equation Numerical Solution by the Collocation Method:Integral Equation Numerical Solution by the Galerkin Method:Numerical Integration:Sample Problem:References:Static Magnetic Problem@ Introduction:Interior Static Field Problems:Exterior Static Problems Approximated by Interior Problems:Exterior Magnetic Field Static Problem:Static Magnetic Field in a Saturable Medium:References:Eddy Current Problem@ Introduction:Commonly Used Basic Formulations for the Eddy Current Problem:Two-Dimensional Eddy Current Problem:Three-Dimensional Steady-State Eddy Current Problem:Transient Eddy Current Problem:References:Derivation of the Helmholtz Theorem@ Properties of the Magnetic Vector Potential, A Proof Regarding Split of Quadrangle into Two Triangles:Derivation of Formulations Used in the Cendes-Shenton Adaptive Mesh Algorithm:Integral Expressions for Scalar Potential from Green' s Theorem: