Humphries, Jr., Stanley
Humphries, Jr., Stanley
Field Solutions on Computers covers a broad range of practical applications involving electric and magnetic fields. The text emphasizes finite-element techniques to solve real-world 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 non-linear materials, permanent magnet devices, RF heating, eddy current analysis, electromagnetic pulses, microwave structures, and wave scattering. The mathematical derivations are supplemented with 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 advanced plotting routines.
1. Introduction 2. Finite-Element Electrostatic Solutions 3. Minimum-Energy Principles in Electrostatics 4. Finite-Difference Solutions and Regular Meshes 5. Techniques for Numerical Field Solutions 6. Matrix Methods for Field Solutions 7. Analyzing Numerical Solutions 8. Nonlinear and Anisotropic Materials 9. Finite-Element Magnetostatic Solutions 10. Static Field Analysis and Applications 11. Low-Frequency Electric and Magnetic Fields 12. Thermal Transport and Magnetic Field Diffusion 13. Electromagnetic Fields in One Dimension 14. Two- and Three-Dimensional Electromagnetic Simulations
This book is a tool-box of practical numerical methods for scientists and engineers who deal with electric and magnetic fields. It is designed for self-study or as a one-term course for advanced undergraduates.
A study of field solutions on computers. It includes discussion of: minimum energy principles in electrostatics; finite difference solutions and regular meshes; techniques for numerical field solution; analyzing numerical solutions; and nonlinear and anisotropic materials.
Klappentext
Introduction.- Minimum-energy principles in electrostatics.- Finite-difference solutions and regular meshes.- Techniques for numerical field solution.- Matrix methods for field solutions.- Analyzing numerical solutions.- Nonlinear and anisotropic materials.- Finite-element magnetostatic solutions.- Static field analysis and applications.- Low-frequency electric and magnetic fields.- Thermal transport and magnetic field diffusion.- Electromagnetic fields in one dimension.- Two-and three-dimensional electromagnetic simulations.- Index.
