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, and then formulates 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; and scalar and vector fields. A wide selection of demonstration programs allows the reader to follow the practical use of the methods. Besides providing all that is needed for the beginning undergraduate student, this textbook is also a valuable reference text for professional engineers and research students. Content: 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. This is the third edition of the principal text on the finite element method, which has become a major solution technique for problems of engineering electromagnetics. It presents the method in a mathematically undemanding style, accessible to undergraduates who may be encountering it for the first time, but the scope is sufficiently broad as to be equally suitable for use by graduate and professional engineers. The finite element method has become a major numerical solution technique for electrical engineers and electronics specialists. This book presents the method in a mathematically easy-going style accessible to undergraduates, but also reaches out toward the research forefront far enough to be highly suitable for professional engineers and research students. Like the earlier editions, this text 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. A wide selection of demonstration programs allows the reader to follow the practical use of the methods.