Finite elements for electrical engineers

This third edition of the principal text on the finite element method for electrical engineers and electronics specialists presents the method in a mathematically undemanding style, accessible to undergraduates who may be encountering it for the first time. Like the earlier editions, it begins by deriving finite elements for the simplest familiar potential fields, then advances to formulate finite elements for a wide range of applied electromagnetics problems. These include wave propagation, diffusion, and static fields; open-boundary problems and nonlinear materials; axisymmetric, planar and fully three-dimensional geometries; scalar and vector fields. This new edition is more than half as long again as its predecessor, with original material extensively revised and much new material added. As well as providing all that is needed for the beginning undergraduate student, this textbook is also a valuable reference text for professional engineers and research students. A wide selection of demonstration programs allows the reader to follow the practical use of the methods.

1. Finite elements in one dimension -- 2. First-order triangular elements for potential problems -- 3. Electromagnetics of finite elements -- 4. Simplex elements for the scalar Helmholtz equation -- 5. Differential operators in ferromagnetic materials -- 6. Finite elements for integral operators -- 7. Curvilinear, vectorial and unbounded elements -- 8. Time and frequency domain problems in bounded systems -- 9. Unbounded radiation and scattering -- 10. Numerical solution of finite element equations -- App. 1. Calculations on simplex elements -- App. 2. Integration by parts, Green's theorems and Green's functions -- App. 3. Simplex element tables -- App. 4. Utility programs and style notes -- App. 5. Laboratory problems and exercises.