Numerical Computation of Electric and Magnetic Fields

ISBN-13: 9789401571456 / Angielski / Miękka / 2012 / 223 str.

Charles W. Steele; Charles W. Steele

Opis

For well over a decade, the numerical approach to field computation has been gaining progressively greater importance. Analytical methods offield compu- tation are, at best, unable to accommodate the very wide variety of configura- tions in which fields must be computed. On the other hand, numerical methods can accommodate many practical configurations that analytical methods cannot. With the advent of high-speed digital computers, numerical field computations have finally become practical. However, in order to implement numerical methods of field computation, we need algorithms, numerical methods, and mathematical tools that are largely quite different from those that have been traditionally used with analytical methods. Many of these algorithms have, in fact, been presented in the large number of papers that have been published on this subject in the last two decades. And to some of those who are already experienced in the art of numerical field computations, these papers, in addition to their own original work, are enough to give them the knowledge that they need to perform practical numerical field computations.

Spis treści

1. Introduction.- 2. Field Properties.- 3. Problem Definition.- 4. Linear Spaces in Field Computations.- 5. Projection Methods in Field Computations.- 6. Finite Element Method for Interior Problems.- 7. Finite Element Method for Exterior Problems.- 8. Integral Equation Method.- 9. Static Magnetic Problem.- 10. Eddy Current Problem.- Appendix A Derivation of the Helmholtz Theorem.- Appendix B Properties of the Magnetic Vector Potential, A.- Appendix C Integral Expressions for Scalar Potential from Green’s Theorem.