Welcome to the Finite-element Methods for Electromagnetics download site. The text was originally published under the title Field Solutions on Computers (ISBN 0-8493-1668-5, 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.
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Link : FEMforElectromagnetics.pdf.
Table of contents
Chapter 1. Introduction
- Overview
- Summary of material
- Some Precautions
Chapter 2. Finite-Element 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. Minimum-Energy Principles in Electrostatics
- Introduction
- Electrostatic field energy
- Elements of the calculus of variations
- Poisson equation as a condition of minimum energy
- Finite-element equations for two-dimensional electrostatics
- Three-dimensional finite-element electrostatics on arbitrary meshes
- Higher-order finite element formulations
- Exercises
Chapter 4. Finite-Difference Solutions and Regular Meshes
- Introduction
- Difference operators
- Initial value solutions of ordinary differential equations
- One-dimensional Poisson equation
- Solution of the Poisson equation by back-substitution
- Two-dimensional electrostatic solutions on a regular mesh
- Three-dimensional electrostatic solutions on a regular mesh
- Exercises
Chapter 5. Techniques for Numerical Field Solutions
- Introduction
- Regular meshes in three dimensions
- Two-dimensional conformal triangular meshes
- Fitting triangular elements to physical boundaries
- Neumann boundaries in resistive media
- Boundary value solutions by successive over-relaxation
- Exercises
Chapter 6. Matrix Methods for Field Solutions
- Introduction
- Gauss-Jordan elimination
- Solving tridiagonal matrices
- Matrix solutions for one-dimensional electrostatics
- Matrices for two-dimensional finite-element solutions
- Solving tridiagonal block matrix problems
- Exercises
Chapter 7. Analyzing Numerical Solutions
- Introduction
- Locating elements
- Generalized least-square fits
- Field calculations on a two-dimensional 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
- Finite-element equations for anisotropic materials
- Steady-state gas flow
- Exercises
Chapter 9. Finite-Element Magnetostatic Solutions
- Introduction
- Differential and integral magnetostatic equations
- Vector potential and field equations in two dimensions
- Isotropic magnetic materials
- Finite-element 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 finite-element 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. Low-Frequency 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
- Finite-difference solution of the diffusion equation
- Finite-element diffusion solutions
- Instabilities in finite-element diffusion solutions
- Magnetic field diffusion
- Exercises
Chapter 13. Electromagnetic Fields in One Dimension
- Introduction
- Planar Electromagnetic waves
- Time-domain electromagnetism in one dimension
- Electromagnetic pulse solutions
- Frequency-domain equations
- Scattering solutions
- One-dimensional resonant modes
- Exercises
Chapter 14. Two- and Three-Dimensional Electromagnetic Simulations
- Introduction
- Time-domain equations on a conformal mesh
- Electromagnetic pulse solutions
- Frequency-domain equations
- Methods for scattering solutions
- Waveguides and resonant cavities
- Power losses and Q factors
- Finite-difference time-domain method in three dimensions
- Three-dimensional element-based time-domain equations
- Exercises
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