Welcome to the Finiteelement Methods for Electromagnetics download site. The text was originally published under the title Field Solutions on Computers (ISBN 0849316685, QC760.54.H86) in 1997 by CRC Press (currently a division of Taylor and Francis). The unabridged book with all illustrations has been converted to PDF format with several corrections. Composition of the original work was partially supported by a sabbtical leave from the University of New Mexico. Taylor and Francis generously gave permission to create and to distribute the electronic text. The conversion was supported by Field Precision LLC. Please send any comments to humphriess@fieldp.com.
Stan Humphries
Description
Finiteelement Methods for Electromagnetics covers a broad range of practical applications involving electric and magnetic fields. The text emphasizes finite element techniques to solve realworld problems in research and industry. After introducing numerical methods with a thorough treatment of electrostatics, the book moves in a structured sequence to advanced topics. These include magnetostatics with nonlinear materials, permanent magnet devices, RF heating, eddy current analysis, electromagnetic pulses, microwave structures, and wave scattering. The mathematical derivations are supplemented with 167 chapter exercises and comprehensive reviews of the underlying physics. The book also covers essential supporting techniques such as mesh generation, interpolation, sparse matrix inversions, and plotting routines.
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Table of contents
Chapter 1. Introduction
 Overview
 Summary of material
 Some Precautions
Chapter 2. FiniteElement Electrostatic Equations
 Introduction
 Coulomb's law
 Gauss's law and charge density
 Differential equations for electrostatic fields
 Charge density distributions and dielectric materials
 Finite elements
 Coordinate relationships for triangles
 Gauss's law for elements at a vertex point
 Solution procedure and boundary conditions
 Electrostatics in cylindrical coordinates
 Exercises
Chapter 3. MinimumEnergy Principles in Electrostatics
 Introduction
 Electrostatic field energy
 Elements of the calculus of variations
 Poisson equation as a condition of minimum energy
 Finiteelement equations for twodimensional electrostatics
 Threedimensional finiteelement electrostatics on arbitrary meshes
 Higherorder finite element formulations
 Exercises
Chapter 4. FiniteDifference Solutions and Regular Meshes
 Introduction
 Difference operators
 Initial value solutions of ordinary differential equations
 Onedimensional Poisson equation
 Solution of the Poisson equation by backsubstitution
 Twodimensional electrostatic solutions on a regular mesh
 Threedimensional electrostatic solutions on a regular mesh
 Exercises
Chapter 5. Techniques for Numerical Field Solutions
 Introduction
 Regular meshes in three dimensions
 Twodimensional conformal triangular meshes
 Fitting triangular elements to physical boundaries
 Neumann boundaries in resistive media
 Boundary value solutions by successive overrelaxation
 Exercises
Chapter 6. Matrix Methods for Field Solutions
 Introduction
 GaussJordan elimination
 Solving tridiagonal matrices
 Matrix solutions for onedimensional electrostatics
 Matrices for twodimensional finiteelement solutions
 Solving tridiagonal block matrix problems
 Exercises
Chapter 7. Analyzing Numerical Solutions
 Introduction
 Locating elements
 Generalized leastsquare fits
 Field calculations on a twodimensional triangular mesh
 Mesh and boundary plots
 Contour, element, elevation, and field line plots
 Exercises
Chapter 8. Nonlinear and Anisotropic Materials
 Introduction
 Iterative solutions to boundary value problems
 Numerical data for material properties
 Finiteelement equations for anisotropic materials
 Steadystate gas flow
 Exercises
Chapter 9. FiniteElement Magnetostatic Solutions
 Introduction
 Differential and integral magnetostatic equations
 Vector potential and field equations in two dimensions
 Isotropic magnetic materials
 Finiteelement magnetostatic equations
 Magnetic field solutions
 Properties of permanent magnet materials
 Magnetostatic solutions with permanent magnets
 Exercises
Chapter 10. Static Field Analysis and Applications
 Introduction
 Volume and surface integrals on a finiteelement mesh
 Electric and magnetic field energy
 Capacitance calculations
 Inductance calculations
 Electric and magnetic forces on materials
 Charged particle orbits
 Electron and ion guns
 Generalized Neumann boundaries  Hall effect devices
 Exercises
Chapter 11. LowFrequency Electric and Magnetic Fields
 Introduction
 Maxwell equations
 Complex numbers for harmonic quantities
 Electric field equations in resistive media
 Electric field solutions with complex number potentials
 Magnetic fields with eddy currents
 Exercises
Chapter 12. Thermal Transport and Magnetic Field Diffusion
 Introduction
 Thermal transport equation
 Finitedifference solution of the diffusion equation
 Finiteelement diffusion solutions
 Instabilities in finiteelement diffusion solutions
 Magnetic field diffusion
 Exercises
Chapter 13. Electromagnetic Fields in One Dimension
 Introduction
 Planar Electromagnetic waves
 Timedomain electromagnetism in one dimension
 Electromagnetic pulse solutions
 Frequencydomain equations
 Scattering solutions
 Onedimensional resonant modes
 Exercises
Chapter 14. Two and ThreeDimensional Electromagnetic Simulations
 Introduction
 Timedomain equations on a conformal mesh
 Electromagnetic pulse solutions
 Frequencydomain equations
 Methods for scattering solutions
 Waveguides and resonant cavities
 Power losses and Q factors
 Finitedifference timedomain method in three dimensions
 Threedimensional elementbased timedomain equations
 Exercises
